dorsal/arxiv
View SchemaSelf-organized patterns of coexistence out of a predator-prey cellular automaton
| Authors | Kelly C. de Carvalho, Tania Tome |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0604030 |
| URL | https://arxiv.org/abs/q-bio/0604030 |
| DOI | 10.1142/S0129183106010005 |
Abstract
We present a stochastic approach to modeling the dynamics of coexistence of prey and predator populations. It is assumed that the space of coexistence is explicitly subdivided in a grid of cells. Each cell can be occupied by only one individual of each species or can be empty. The system evolves in time according to a probabilistic cellular automaton composed by a set of local rules which describe interactions between species individuals and mimic the process of birth, death and predation. By performing computational simulations, we found that, depending on the values of the parameters of the model, the following states can be reached: a prey absorbing state and active states of two types. In one of them both species coexist in a stationary regime with population densities constant in time. The other kind of active state is characterized by local coupled time oscillations of prey and predator populations. We focus on the self-organized structures arising from spatio-temporal dynamics of the coexistence. We identify distinct spatial patterns of prey and predators and verify that they are intimally connected to the time coexistence behavior of the species. The occurrence of a prey percolating cluster on the spatial patterns of the active states is also examined.
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"abstract": "We present a stochastic approach to modeling the dynamics of coexistence of\nprey and predator populations. It is assumed that the space of coexistence is\nexplicitly subdivided in a grid of cells. Each cell can be occupied by only one\nindividual of each species or can be empty. The system evolves in time\naccording to a probabilistic cellular automaton composed by a set of local\nrules which describe interactions between species individuals and mimic the\nprocess of birth, death and predation. By performing computational simulations,\nwe found that, depending on the values of the parameters of the model, the\nfollowing states can be reached: a prey absorbing state and active states of\ntwo types. In one of them both species coexist in a stationary regime with\npopulation densities constant in time. The other kind of active state is\ncharacterized by local coupled time oscillations of prey and predator\npopulations. We focus on the self-organized structures arising from\nspatio-temporal dynamics of the coexistence. We identify distinct spatial\npatterns of prey and predators and verify that they are intimally connected to\nthe time coexistence behavior of the species. The occurrence of a prey\npercolating cluster on the spatial patterns of the active states is also\nexamined.",
"arxiv_id": "q-bio/0604030",
"authors": [
"Kelly C. de Carvalho",
"Tania Tome"
],
"categories": [
"q-bio.PE"
],
"doi": "10.1142/S0129183106010005",
"title": "Self-organized patterns of coexistence out of a predator-prey cellular automaton",
"url": "https://arxiv.org/abs/q-bio/0604030"
},
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