Geodesic
Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 157-173

Voir la notice de l'article provenant de la source Library of Science

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 Ito type. A 'law of large numbers' to a continuum dynamics described by an integro-differential equation is given.
Keywords: cellular automata, individual-based models, stochastic differential equations, law of large numbers, density dependence, nonlinear integrodifferential equations
Mots-clés : równanie różniczkowe stochastyczne, równanie różniczkowo-całkowe 
@article{IJAMCS_2000_10_1_a9,
     author = {Morale, D.},
     title = {Cellular {Automata} and {Many-Particle} {Systems} {Modeling} {Aggregation} {Behavior} {Among} {Populations}},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {157--173},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a9/}
}
TY  - JOUR
AU  - Morale, D.
TI  - Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2000
SP  - 157
EP  - 173
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a9/
LA  - en
ID  - IJAMCS_2000_10_1_a9
ER  - 
%0 Journal Article
%A Morale, D.
%T Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations
%J International Journal of Applied Mathematics and Computer Science
%D 2000
%P 157-173
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a9/
%G en
%F IJAMCS_2000_10_1_a9
Morale, D. Cellular Automata and Many-Particle Systems Modeling Aggregation Behavior Among Populations. International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 157-173. http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a9/