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 |
Autori: | MORALE, DANIELA (Primo) |
Settore Scientifico Disciplinare: | Settore MAT/06 - Probabilita' e Statistica Matematica |
Data di pubblicazione: | 2000 |
Rivista: | |
Tipologia: | Article (author) |
Appare nelle tipologie: | 01 - Articolo su periodico |