Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
Daniela Morale · Digital library of Zielona Gora (University of Zielona Góra) · 2000
A cellular automaton model is presented in order to describe mutual interactions among the individuals of a population due to social decisions. The scheme is used for getting qualitative results, comparable to field experiments carried out on a population of ants which present an aggregative behavior. We also present a second description of a biological spatially structured population of N individuals by a system of stochastic differential equations of Itô type. A "law of large numbers" to a continuum dynamics described by an integro-differential equation is given.