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.

Cellular automata and many-particle systems modeling aggregation behavior among populations

D. Morale
Primo
2000

Abstract

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.
Settore MAT/06 - Probabilita' e Statistica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/207256
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