Modeling of a sexual network based on random geometric graphs and random motion

Abstract:

In many fields of contemporary science the target complex systems are treated by representing them as graphs.

For example, epidemiologists use graphs to construct different types of contact networks to investigate epidemic propagation.

There are a number of classical random graph models using for these aims. The proposed model is based on the concept of random geometric graphs combined with random drift of the vertices.

The aim of the research is a simulation of a sexual network which have such characteristics of real-world networks as spatial embedding, inhomogenious structure, evolving over time, power-law degree distribution.