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Dr Isaac Towers

Dr Isaac Towers

Senior Lecturer
UNSW Canberra
School of Science

Dr Isaac Towers is a Senior Lecturer in the School of Physical, Environmental and Mathematical Sciences at UNSW Canberra.
Phone
+61 2 5114 5050
E-mail
i.towers@unsw.edu.au
Location
Room 132a PEMS South (Bldg 26) School of Science, UNSW Canberra, Australian Defence Force Academy, PO Box 7916, Canberra BC ACT 2610, AUSTRALIA
  • Journal articles | 2024
    Towers IR; Vesk PA; Wenk E; Gallagher RV; Windecker S; Wright IJ; Falster D, 2024, 'Revisiting the role of mean annual precipitation in shaping functional trait distributions at a continental scale', New Phytologist, 241, pp. 1900 - 1909, http://dx.doi.org/10.1111/nph.19478
    Journal articles | 2023
    Masoudian S; Sharples J; Jovanoski Z; Towers I; Watt S, 2023, 'Incorporating Stochastic Wind Vectors in Wildfire Spread Prediction', Atmosphere, 14, http://dx.doi.org/10.3390/atmos14111609
    Journal articles | 2021
    McLennan-Smith TA; Kalloniatis AC; Jovanoski Z; Sidhu HS; Roberts DO; Watt S; Towers IN, 2021, 'A Mathematical Model of Humanitarian Aid Agencies in Attritional Conflict Environments', Operations Research, 69, pp. 1696 - 1714, http://dx.doi.org/10.1287/opre.2021.2130
    Journal articles | 2020
    Amirian MM; Towers IN; Jovanoski Z; Irwin AJ, 2020, 'Memory and mutualism in species sustainability: A time-fractional Lotka-Volterra model with harvesting', Heliyon, 6, pp. e04816, http://dx.doi.org/10.1016/j.heliyon.2020.e04816
    Journal articles | 2020
    Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Watt S; Gubernov VV, 2020, 'Properties of nonadiabatic combustion waves in competitive exothermic reactions', Applied Mathematical Modelling, 77, pp. 1216 - 1228, http://dx.doi.org/10.1016/j.apm.2019.09.010
    Journal articles | 2020
    Zazali HH; Towers IN; Sharples JJ, 2020, 'A critical review of fuel accumulation models used in Australian fire management', International Journal of Wildland Fire, 30, pp. 42 - 56, http://dx.doi.org/10.1071/WF20031
    Journal articles | 2019
    Ang TK; Safuan HM; Sidhu HS; Jovanoski Z; Towers IN, 2019, 'Impact of Harvesting on a Bioeconomic Predator–Prey Fishery Model Subject to Environmental Toxicant', Bulletin of Mathematical Biology, 81, pp. 2748 - 2767, http://dx.doi.org/10.1007/s11538-019-00627-8
    Journal articles | 2019
    Watt SD; Sidhu HS; Jovanoski Z; Towers IN; Huang Z, 2019, 'Watershed initial conditions for propagating waves in a system with bistability: A weight-function approach', Applied Mathematics Letters, 91, pp. 106 - 112, http://dx.doi.org/10.1016/j.aml.2018.11.018
    Journal articles | 2018
    Huang Z; Sidhu H; Towers I; Jovanoski Z; Watt S, 2018, 'On the route to extinction in non-adiabatic flames from competitive exothermic reactions', Mathematical Modelling of Natural Phenomena, 13, http://dx.doi.org/10.1051/mmnp/2018047
    Journal articles | 2017
    Dose T; Jovanoski Z; Safuan HM; Sidhu H; Towers I, 2017, 'Dynamics of a Discrete Non-Autonomous Ricker Model', Journal of Engineering and Applied Science, 12, pp. 2304 - 2309, http://dx.doi.org/10.3923/jeasci.2017.2304.2309
    Journal articles | 2017
    Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2017, 'Stability analysis of combustion waves for competitive exothermic reactions using Evans function', Applied Mathematical Modelling, 54, pp. 347 - 360, http://dx.doi.org/10.1016/j.apm.2017.09.055
    Journal articles | 2017
    Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2017, 'Properties of combustion waves in a model with competitive exothermic reactions', Journal of Mathematical Chemistry, 55, pp. 1187 - 1201, http://dx.doi.org/10.1007/s10910-017-0733-0
    Journal articles | 2017
    Saifuddin R; Jovanoski Z; Safuan HM; Towers I; Sidhu H, 2017, 'Stability of a Population in a Model with Delayed Environmental Response', Journal of Engineering and Applied Sciences, 12, pp. 2299 - 2303, http://dx.doi.org/10.3923/jeasci.2017.2299.2303
    Journal articles | 2016
    Anderson C; Jovanoski Z; Sidhu H; Towers I, 2016, 'Logistic equation with a simple stochastic carrying capacity', ANZIAM Journal, 56, pp. C431 - C445, http://dx.doi.org/10.0000/anziamj.v56i0.9386
    Journal articles | 2016
    Anderson C; Jovanoski Z; Sidhu HS; Towers IN, 2016, 'Logistic equation is a simple stochastic carrying capacity', ANZIAM Journal, 56, pp. 431 - 431, http://dx.doi.org/10.21914/anziamj.v56i0.9386
    Journal articles | 2016
    Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2016, 'Nonadiabatic combustion waves in a two-step competitive exothermic-reaction model', Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 57, pp. C14 - C31, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/10391/0
    Journal articles | 2015
    Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2015, 'Reaction waves in solid fuels for adiabatic competitive exothermic reactions', ANZIAM Journal, 55, pp. 148 - 148, http://dx.doi.org/10.21914/anziamj.v56i0.9343
    Journal articles | 2015
    Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov V, 2015, 'Reaction waves in solid fuels for adiabatic competitive exothermic reactions', ANZIAM Journal, 56, pp. C148 - C162, http://dx.doi.org/10.0000/anziamj.v56i0.9343
    Journal articles | 2015
    Towers IN; Jovanoski Z; Sidhu HS; Safuan H, 2015, 'On travelling wave solutions of the diffusive Leslie–Gower model', Applied Mathematics and Computation, 274, pp. 362 - 371, http://dx.doi.org/10.1016/j.amc.2015.10.088
    Journal articles | 2014
    Mohd Safuan H; Sidhu HS; Jovanoski Z; Towers IN, 2014, 'A two-species predator-prey model in an environment enriched by a biotic resource', ANZIAM Journal, 54, pp. 768 - 768, http://dx.doi.org/10.21914/anziamj.v54i0.6376
    Journal articles | 2014
    Safuan H; Sidhu H; Jovanoski Z; Towers I, 2014, 'A two-species predator-prey model in an environment enriched by a biotic resource', ANZIAM Journal, 54, pp. C768 - C787, http://dx.doi.org/10.0000/anziamj.v54i0.6376
    Journal articles | 2013
    Jovanoski Z; Towers I; Sidhu HS; Mohd Safuan H, 2013, 'Exact solution of a non-autonomous logistic population model', Ecological Modelling, 251, pp. 99 - 102, http://dx.doi.org/10.1016/j.ecolmodel.2012.12.016
    Journal articles | 2013
    Safuan H; Sidhu HS; Jovanoski Z; Towers I, 2013, 'Impacts of Biotic Resource Enrichment on a Predator-Prey Population', Bulletin of Mathematical Biology, on-line July 2013, http://dx.doi.org/10.1007/s11538-013-9869-7
    Journal articles | 2013
    Sidhu H; Sharples J; Towers I; Gubernov V; wee W, 2013, 'Properties of reaction fronts in a non-adiabatic two stage exothermic-endothermic competitive reaction scheme', ANZIAM Journal, 54, http://dx.doi.org/10.0000/anziamj.v54i0.6302
    Journal articles | 2013
    Towers I; Gubernov V; Kolobov AV; Polezhaev AA; Sidhu HS, 2013, 'Bistability of flame propagation in a model with competing exothermic reactions', Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences, 469, pp. 20130315-1 - 20130315-19, http://dx.doi.org/10.1098/rspa.2013.0315
    Journal articles | 2013
    Wee W; Sidhu H; Sharples J; Towers I; Gubernov V, 2013, 'Properties of reaction fronts in a non-adiabatic two stage exothermic-endothermic competitive reaction scheme', ANZIAM Journal, 54, pp. 646 - 646, http://dx.doi.org/10.21914/anziamj.v54i0.6302
    Journal articles | 2012
    Towers I; Jovanoski Z; Sidhu HS; mohd safuan H, 2012, 'Coupled logistic carrying capacity model', The ANZIAM Journal, 53, pp. C172 - C184, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/4972
    Journal articles | 2012
    Towers I; Jovanoski Z, 2012, 'Shepherded solitons', The ANZIAM Journal, 53, pp. C312 - C324, http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5122
    Journal articles | 2011
    Konar S; Jovanoski Z; Towers I, 2011, 'Incoherent spatial optical solitons in photorefractive crystals', Optics and Laser Technology, 43, pp. 1466 - 1469, http://dx.doi.org/10.1016/j.optlastec.2011.04.022
    Journal articles | 2011
    Konar S; Jovanoski Z; Towers I, 2011, 'Two-color bright solitons in a three-level atomic system in the cascade configuration', Journal of Modern Optics, 58, pp. 1035 - 1040, http://dx.doi.org/10.1080/09500340.2011.591509
    Journal articles | 2010
    Oslington P; Towers I, 2010, 'Trade, Migration, and Inequality in a World without Factor Price Equalization', Review of International Economics, 18, pp. 650 - 662, http://dx.doi.org/10.1111/j.1467-9396.2010.00902.x
    Journal articles | 2009
    Jovanoski Z; Towers I; Ansari NA, 2009, 'Domain walls and their stability', The ANZIAM Journal, 50, pp. C1052 - C1065
    Journal articles | 2009
    Oslington PR; Towers I, 2009, 'Pushing Economies (and Students)Outside the Factor Price Equalization Zone', Journal of Economic Education, 40, pp. 422 - 436
    Journal articles | 2009
    Robinson G; Towers I; Jovanoski Z, 2009, 'Isothermal circumstellar dust shell model for teaching', International Journal of Mathematical Education in Science and Technology, 40, pp. 795 - 845
    Journal articles | 2009
    Towers I; Robinson G, 2009, 'A model for multiple isothermal circumstellar dust shells', Physica Scripta T, 80
    Journal articles | 2008
    Jovanoski Z; Ansari NA; Towers I; Sammut RA, 2008, 'Exact domain-wall solitons', Physics Letters, Section A, 372, pp. 610 - 612
    Journal articles | 2008
    Towers I; Jovanoski Z, 2008, 'Application of rational Chebyshev polynomials to optical problems', The ANZIAM Journal, 50, pp. C60 - C74
    Journal articles | 2007
    Ansari NA; Towers I; Jovanoski Z; Sidhu HS, 2007, 'A semi-classical approach to two-frequency solitons in a three-level cascade atomic system', Optics Communications, 274, pp. 66 - 73, http://dx.doi.org/10.1016/j.optcom.2007.02.019
    Journal articles | 2006
    Ansari NA; Jovanoski Z; Sidhu HS; Towers I, 2006, 'Non-Linear Interactions of Two Intense Fields with a Three-Level Atomic System', Journal of Nonlinear Optical Physics and Materials, 15, pp. 401 - 414
    Journal articles | 2005
    Jovanoski Z; Towers I; Ansari NA; Sammut RA, 2005, 'Approximate analysis of circular bends in nonlinear planar waveguides', Optics Communications, 244, pp. 399 - 409, http://www.sciencedirect.com/science/article/B6TVF-4DCD62C-B/2/7e3238e33d88ba2e69bdb5d1ec44bda5
    Journal articles | 2005
    Jovanoski Z; Towers I; Garth SJ; Sammut RA, 2005, 'Modes on a bent nonlinear waveguide: solutions based upon the method of perturbations', Journal of Modern Optics, 52, pp. 707 - 723
    Journal articles | 2005
    Towers I, 2005, 'Interrogating functions', International Journal of Mathematical Education in Science and Technology, 36, pp. 922 - 930
    Journal articles | 2003
    Band YB; Towers I; Malomed BA, 2003, 'Unified semiclassical approximation for Bose-Einstein condensates: Application to a BEC in an optical potential', Physical Review A, 67, pp. 023602, http://dx.doi.org/10.1103/physreva.67.023602
    Journal articles | 2003
    Mihalache D; Mazilu D; Towers I; Malomed BA; Lederer F, 2003, 'Stable spatiiotemporal spinning solitons in a bimodal cubic-quintic medium', Physical Review E, 67, pp. 566081 - 566089, http://dx.doi.org/10.1103/physreve.67.056608
    Journal articles | 2003
    Towers IN; Malomed BA; Wise FW, 2003, 'Light Bullets in Quadratic Media with Normal Dispersion at the Second Harmonic', Physical Review Letters, 90, pp. 123902, http://dx.doi.org/10.1103/physrevlett.90.123902
    Journal articles | 2002
    Mihalache D; Mazilu D; Crasovan L; Towers I; Buryak AV; Malomed BA; Torner L; Torres JP; Lederer F, 2002, 'Stable Spinning Optical Solitons in Three Dimensions', Physical Review Letters, 88, pp. 1 - 4, http://dx.doi.org/10.1103/PhysRevLett.88.073902
    Journal articles | 2002
    Mihalache D; Mazilu D; Crasovan L; Towers I; Malomed BA; Buryak AV; Torner L; Lederer F, 2002, 'Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities', Physical Review E, 66, pp. 1 - 7, http://dx.doi.org/10.1103/PhysRevE.66.016613
    Journal articles | 2002
    Mihalache D; Mazilu D; Towers I; Malomed BA; Lederer F, 2002, 'Stable two-dimensional spinning solitons in a bimodal cubic-quintic model with four-wave mixing', JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 4, pp. 615 - 623, http://dx.doi.org/10.1088/1464-4258/4/6/305
    Journal articles | 2002
    Towers I; Malomed BA, 2002, 'Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity', Journal of the Optical Society of America B - Optical Physics, 19, pp. 537 - 543
    Journal articles | 2002
    Towers IN; Malomed BA, 2002, 'Polychromatic solitons in a quadratic medium', Physical Review E, 66, pp. 046620, http://dx.doi.org/10.1103/physreve.66.046620
    Journal articles | 2001
    Elyutin PV; Buryak AV; Gubernov V; Sammut RA; Towers I, 2001, 'Interaction of two one-dimensional Bose-Einstein solitons: Chaos and energy exchange', Physical Review E, 64, pp. 1 - 9, http://dx.doi.org/10.1103/PhysRevE.64.016607
    Journal articles | 2001
    Malomed BA; Peng G; Chu PL; Towers I; Buryak AV; Sammut RA, 2001, 'Stable helical solitons in optical media', Pramana - Journal of Physics, 57, pp. 1061 - 1078, http://dx.doi.org/10.1007/s12043-001-0014-z
    Journal articles | 2001
    Towers I; Buryak AV; Sammut RA; Malomed BA; Crasovan L; Mihalache D, 2001, 'Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation', Physics Letters, Section A, pp. 292 - 298
    Journal articles | 2001
    Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable localized vortex solitons', Physical Review E, 63, pp. 1 - 4, http://dx.doi.org/10.1103/physreve.63.055601
    Journal articles | 2000
    Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping, and chaos in nonlinear quadratic distributied feedback systems', Physics Letters, Section A, pp. 319 - 325
    Journal articles | 2000
    Towers I; Buryak AV; Sammut RA; Malomed BA, 2000, 'Quadratic solitons resulting from double-resonance wave mixing', Journal of the Optical Society of America B - Optical Physics, 17, pp. 2018 - 2025
    Journal articles | 1999
    Towers I; Sammut RA; Buryak AV; Malomed BA, 1999, 'Soliton multistability as a result of double-resonance wave mixing in x(2) media', Optics Letters, pp. 1738 - 1740
  • Preprints | 2022
    McLennan-Smith T; Kalloniatis A; Watt S; Jovanoski Z; Sidhu H; Roberts D; Towers I, 2022, Mathematical modelling of decision cycles in a competitive environment with neutral parties, , http://dx.doi.org/10.48550/arxiv.2212.07029
    Preprints | 2019
    Amirian MM; Towers IN; Jovanoski Z; Irwin AJ, 2019, Memory and mutualism in species sustainability: a time-fractional Lotka-Volterra model with harvesting, , http://dx.doi.org/10.48550/arxiv.1904.12340
    Conference Papers | 2019
    Huang ZJ; Watt S; Sidhu H; McIntosh A; Brindley J; Jovanoski Z; Towers I, 2019, '2D chaotic flow in competitive exothermic-endothermic reactions', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra, pp. 102 - 108, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019, http://dx.doi.org/10.36334/modsim.2019.a5.huang
    Conference Papers | 2019
    Jovanoski Z; Sharples J; Sidhu H; Towers I, 2019, 'Stochastic model for the ROS in a heterogeneous environment', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra ACT, pp. 768 - 774, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra ACT, 01 December 2019 - 06 December 2019, http://dx.doi.org/10.36334/modsim.2019.h7.jovanoski
    Conference Papers | 2019
    McLennan-Smith T; Kalloniatis A; Sidhu H; Jovanoski Z; Watt S; Towers I, 2019, 'Exploiting ecological non-trophic models in representations of warfare', in El Sawah, S. (ed.) MODSIM2019, 23rd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand, Canberra, pp. 242 - 248, presented at 23rd International Congress on Modelling and Simulation (MODSIM2019), Canberra, 01 December 2019, http://dx.doi.org/10.36334/modsim.2019.b3.mclennan-smith
    Conference Papers | 2018
    Jovanoski Z; Sharples JJ; Gill AM; Watt S; Sidhu HS; Towers IN; Sanni S, 2018, 'Modelling the rate of spread of fire: An SDE approach', in Viegas DX (ed.), ADVANCES IN FOREST FIRE RESEARCH 2018, UNIV COIMBRA, PORTUGAL, Coimbra, pp. 555 - 565, presented at 8th International Conference on Forest Fire Research, PORTUGAL, Coimbra, 09 November 2018 - 16 November 2018, http://dx.doi.org/10.14195/978-989-26-16-506_62
    Conference Papers | 2017
    Mijangos L; Holleley C; Nichols R; Towers I; Jovanoski Z; Sidhu HS; Watt S; Adamack A; Sherwin W, 2017, 'Genetic linkage to explain genetic variation', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017, 22nd International Congress on Modelling and Simulation., Hobart, Tasmania, pp. 127 - 133, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/A4/mijangos.pdf
    Conference Papers | 2017
    Saifuddin R; Jovanoski Z; Safuan H; Watt S; Sidhu HS; Towers I, 2017, 'Invasive species in a confined environment: Reindeer population in the Pribilof Islands', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, presented at International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, http://www.mssanz.org.au/modsim2017/A4/saifuddin.pdf
    Conference Papers | 2017
    Sanni S; Sharples J; Gill A; Jovanoski Z; Sidhu HS; Towers I, 2017, 'A stochastic differential equation approach to modelling the growth phase of fire spread', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017 - Proceedings - MSSANZ, Modelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ), Hobart, Tasmania, pp. 1152 - 1158, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/H10/sanni.pdf
    Conference Papers | 2017
    Towers I; Sidhu H; Jovanoski Z; Merrick K; Barlow M, 2017, 'An N-player Trust game: comparison of replicator and logit dynamics', Hobart, Tasmania, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, http://www.mssanz.org.au/modsim2017/Keynote/towers.pdf
    Conference Papers | 2017
    WATT S; Sidhu HS; Jovanoski Z; Towers I; Sharples J; Gubernov V, 2017, 'Propagation of travelling waves in a complex system modelling fire spread', Hobart, Tasmania, Australia, presented at 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, Australia, 03 December 2017 - 08 December 2017
    Conference Papers | 2017
    Watt S; Jovanoski Z; Sidhu HS; Towers I; Welbourne D, 2017, 'Population response to environmental change: A model with an alternate stable state', in Syme G; Hatton MacDonald D; Fulton B; Piantadosi J (eds.), MODSIM2017, 22nd International Congress on Modelling and Simulation., Modelling and Simulation Society of Australia and New Zealand Inc. (MSSANZ), Hobart, Tasmania, pp. 154 - 159, presented at The 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, 03 December 2017 - 08 December 2017, https://www.mssanz.org.au/modsim2017/A4/watt2.pdf
    Conference Papers | 2017
    Zazali HH; Towers IN; Sharples JJ, 2017, 'Incorporating environmental uncertainty in fire spread modelling', in Proceedings - 22nd International Congress on Modelling and Simulation, MODSIM 2017, pp. 1194 - 1200
    Conference Papers | 2016
    Huang Z; Sidhu HS; Towers IN; Jovanoski Z; Gubernov VV, 2016, 'Analysis of Bi-Stability in combustion waves', in Chemical Engineering - Regeneration, Recovery and Reinvention, Engineers Australia, Adelaide SA Australia, pp. 242 - 251, presented at Chemeca 2016, Adelaide SA Australia, 25 September 2016 - 28 September 2016
    Other | 2016
    Yost D; Morris S (ed.), 2016, Book Review: Calculus and Analysis: A Combined Approach, Australian Mathematical Society, , http://www.austms.org.au/Gazette+Volume+43+Number+1+March+2016
    Conference Papers | 2015
    Anderson C; Jovanoski Z; Towers I; Sidhu HS, 2015, 'A simple population model with a stochastic carrying capacity', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, Gold Coast, Australia, pp. 36 - 42, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/anderson.pdf
    Conference Papers | 2015
    Dose TD; Jovanoski Z; Towers I; Sidhu HS, 2015, 'Dynamics of a discrete population model with variable carrying capacity', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, Gold Coast, Australia, pp. 50 - 56, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/dose.pdf
    Theses / Dissertations | 2015
    Dose TD, 2015, Dynamics of Discrete Population Models with Changing Carrying Capacity, UNSW Canberra
    Conference Papers | 2015
    Huang Z; Sidhu H; Towers I; Jovanoski Z; Gubernov VV, 2015, 'Investigating Flame Fronts in Competitive Exothermic Reactions', in Weber T; McPhee MJ; Anderssen RS (eds.), 21st International Congress on Modelling and Simulation, Gold Coast, Australia, pp. 64 - 70, presented at MODSIM 2015, Gold Coast, Australia, 29 November 2015 - 04 December 2015, http://www.mssanz.org.au/modsim2015/A1/huang.pdf
    Other | 2015
    Yost D; Morris S (ed.), 2015, Book Review: Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data, Australian Mathematical Society, , http://www.austms.org.au/Gazette+Volume+42+Number+1+March+2015
    Theses / Dissertations | 2014
    Safuan H, 2014, Mathematical Analysis of Population Growth Subject to Environmental Change, UNSW Canberra
    Theses / Dissertations | 2014
    Sun Y, 2014, Soliton Dynamics in Frequency-Modulated Lattices
    Other | 2014
    Yost D; Morris S (ed.), 2014, Book Review: Linear Algebra: Step by Step, Australian Mathematical Society, , http://www.austms.org.au/Gazette+Volume+41+Number+3+July+2014
    Conference Papers | 2013
    Sharples J; Towers IN; Wheeler G; Wheeler V-M; McCoy JA, 2013, 'Modelling fire line merging using plane curvature flow', in Piantadosi J; Anderssen RS; Boland J (eds.), MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, pp. 256 - 262, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013, http://www.mssanz.org.au/modsim2013/A3/sharples2.pdf
    Conference Papers | 2013
    Sidhu HS; Towers I; Gubernov V; Kolobov AV; Polezhaev AA, 2013, 'Investigation of Flame Propagation in a Model with Competing Exothermic Reactions', in Chemeca 2013, Chemeca 2013, Brisbane, Australia, pp. 29350-1 - 29350-6, presented at Chemeca 2013, Brisbane, 29 September 2013 - 02 October 2013, http://www.conference.net.au/chemeca2013/papers/29350.pdf
    Conference Papers | 2013
    Towers IN; Sidhu HS; Gubernov VV; Kolobov AV; Polezhaev AA, 2013, 'Multiplicity in combustion wave behaviour for a model with competing exothermic reactions', in Proceedings - 20th International Congress on Modelling and Simulation, MODSIM 2013, pp. 99 - 105
    Conference Papers | 2013
    Towers IN; Sidhu HS; Gubernov VV; Kolobov AV; Polezhaev AA, 2013, 'Multiplicity in combustion wave behaviour for a model', in Piantadosi J; Anderssen RS; Boland J (eds.), MODSIM2013, 20th International Congress on Modelling and Simulation, MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, pp. 99 - 105, presented at MODSIM2013, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 01 December 2013 - 06 December 2013, http://www.mssanz.org.au/modsim2013/A1/towers.pdf
    Conference Papers | 2011
    Qian C; Sidhu HS; Sharples JJ; Towers I; Gubernov V, 2011, 'Combustion waves from a sequential exothermic and endothermic reaction', in MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Modelling and Simulation Society, Australian National University, Canberra, ACT, Australia, pp. 725 - 732, presented at MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Perth, WA, 12 December 2011 - 16 December 2011, http://www.mssanz.org.au/modsim2011/AA/qian.pdf
    Conference Papers | 2011
    Safuan H; Towers I; Jovanoski Z; Sidhu HS, 2011, 'A simple model for the total microbial biomass under occlusion of healthy human skin', in MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Modelling and Simulation Society, Australian National University, Canberra, ACT, Australia, pp. 733 - 739, presented at MODSIM 2011 - 19th International Congress on Modelling and Simulation - Sustaining Our Future: Understanding and Living with Uncertainty, Perth, WA, 12 December 2011 - 16 December 2011, http://www.mssanz.org.au/modsim2011/AA/safuan.pdf
    Conference Papers | 2009
    Sharples JJ; Gubernov V; Sidhu HS; Towers I; Kolobov A; Polezhaev A, 2009, 'Behaviour of combustion waves in one-step and two-step models', in Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, MODSIM and IMAC, Australia, presented at 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia
    Conference Papers | 2009
    Sharples JJ; Gubernov VV; Sidhu HS; Towers IN; Kolobov AV; Polezhaev AA, 2009, 'Behaviour of combustion waves in one-step and two-step models', in 18th World IMACS Congress and MODSIM 2009 - International Congress on Modelling and Simulation: Interfacing Modelling and Simulation with Mathematical and Computational Sciences, Proceedings, pp. 4453 - 4459
    Preprints | 2002
    Band YB; Towers I; Malomed B, 2002, Improved Semiclassical Approximation for Bose-Einstein Condensates: Application to a BEC in an Optical Potential, , http://dx.doi.org/10.48550/arxiv.cond-mat/0207739
    Conference Papers | 2001
    Towers I; Buryak AV; Sammut RA; Malomed BA, 2001, 'Stable ring solitons', in Nonlinear guided waves and their applications 2001, Nonlinear guided waves and their applications 2001, Clearwater, Florida, pp. 170 - 172, presented at Nonlinear guided waves and their applications 2001, Clearwater, Florida, 25 March 2001 - 28 March 2001
    Theses / Dissertations | 2001
    Towers I, 2001, Spatial Optical Solitions: From Basic Self-Trapping to Spinning Light Bullet Dynamics
    Conference Papers | 2000
    Buryak AV; Towers I; Sammut RA, 2000, 'Quality of Soliton Multistability', in Nonlinear Optics: Materials, Fundamentals and Applications, Hawaii, pp. 208 - 208, presented at Nonlinear Optics: Materials, Fundamentals and Applications, Hawaii, 06 August 2000 - 10 August 2000
    Conference Papers | 2000
    Buryak AV; Towers I; Trillo S, 2000, 'Multistability, homoclinic clamping in nonlinear quadratic distributed feedback systems', in Qauntum Electronics and Laser Science Conference 2000, Qauntum Electronics and Laser Science Conference 2000, San Francisco, California USA, pp. 119 - 120, presented at Qauntum Electronics and Laser Science Conference 2000, San Francisco, California USA, 07 May 2000 - 12 May 2000
    Conference Papers | 2000
    Towers I; Sammut RA; Buryak AV; Kolossovski KY; Malomed BA, 2000, 'Stable vortex rings due to parametric wave mixing', in Qauntum Electronics and Laser Science Conference 2000, Quantum Electronics and Laser Science Conference 2000, San Francisco, California USA, pp. 199 - 200, presented at Quantum Electronics and Laser Science Conference 2000, San Francisco, California USA, 07 May 2000 - 12 May 2000
    Conference Papers | 1999
    Buryak AV; Towers I; Sammut RA; Malomed BA, 1999, 'Solitons due to double resonance wave mixing in quadratic nonlinear media', in Nonlinear guided waves and their applications 1999, Optica Publishing Group, Dijon, France, pp. 64 - 66, presented at Nonlinear guided waves and their applications 1999, Dijon, France, 01 September 1999 - 03 September 1999, http://dx.doi.org/10.1364/NLGW.1999.WD3
    Conference Papers | 1999
    Towers I; Buryak AV; Sammut RA; Malomed BA, 1999, 'Soltons due to two resonance wave mixing', in Chantler CT; Farrell PM (ed.), Australian optical society 99, Australian optical society 99, Sydney, pp. 100, presented at Australian optical society 99, Sydney, 06 July 1999 - 09 July 1999
    Conference Papers |
    Buryak AV; Towers I; Sammut RA, 'Quality of soliton multistability', in Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. Postconference Edition. TOPS Vol.46 (IEEE Cat. No.00CH37174), Opt. Soc. America, presented at Nonlinear Optics: Materials, Fundamentals, and Applications. Technical Digest. TOPS Vol.46, http://dx.doi.org/10.1109/nlo.2000.883623

Current Research

  • Ecological modelling
  • Bioinformatics
  • Nonlinear dynamics

PhD Opportunities and Scholarships

If you are interested in PhD research in Applied Mathematics contact: Dr Isaac Towers, i.towers@unsw.edu.au

My Research Supervision

 

  • Sahar Masoudian - Stochastic modelling of bushfire spread
  • Zakir Hossine - Understanding differential abundance in microbial ecology using community structure

 

Past Postgraduate Students

  1. Luis Mijangos Aruajo (PhD) - Genetics for Forecasting and Managing Biodiversity
  2. Rashed Saifuddin (PhD) - Developing realistic models for stressed ecosystems
  3. Chris Thomas (PhD) - Incorporation of spotting and intrinsic fire dynamics in a coupled atmosphere-fire modelling framework
  4. Hilyati Zazali (PhD) - Stochastic bushfire spread modelling
  5. Andrew Robards (MPhil) - The cost efficiency of different freight modes
  6. Zhejun Huang  (PhD) - Combustion waves in a two-stage sequential exothermic-endothermic reaction scheme
  7. Chad Anderson (MPhil) - Population Dynamics in a Stochastic Environment
  8. Tom Dose (Honours) - Discrete population dynamics with varying carrying capacity
  9. Prof. Hamizah Safuan - Mathematical Analysis of Population Growth Subject to Environmental Change (2014 Ria de Groot Prize Winner)
  10. Yang Sun (MPhil) -  Soliton Dynamics in Frequency-Modulated Lattices

My Teaching

 

Lecturing on linear algebra and discrete mathematics at the undergraduate level: