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 It\^o type. A ''law of large numbers'' to a continuum dynamics described by an integro-differential equation is given.
Cellular automata and many-particle systems modeling aggregation behavior among populations / D. Morale. - In: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE. - ISSN 1641-876X. - 10:1(2000), pp. 153-173.
|Titolo:||Cellular automata and many-particle systems modeling aggregation behavior among populations|
MORALE, DANIELA (Primo)
|Settore Scientifico Disciplinare:||Settore MAT/06 - Probabilita' e Statistica Matematica|
|Data di pubblicazione:||2000|
|Appare nelle tipologie:||01 - Articolo su periodico|