Study of interacting particle systems: the transition to the oscillatory behavior of a prey–predator model

Roberto Monetti, Alejandro Rozenfeld and Ezequiel Albano

Physica A: Statistical Mechanics and its Applications, 2000, vol. 283, issue 1, 52-58

Abstract: A prey–predator system with intelligent pursuit and evasion is studied by means of computer simulations. It is found that the model exhibits a coexistence state between prey and predators. In this state and depending on the parameters, the system may evolve toward two different regimes, characterized by the behavior of the prey–predator population. Whitin the oscillatory (fixed point) regime the specie's density changes periodically (remains constant), respectively. The transition between such regimes is rationalized in terms of a dynamic percolation process.

Keywords: Competitive dynamic behavior; Social behavior; Phase transitions; Oscillations; Percolation (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:283:y:2000:i:1:p:52-58

DOI: 10.1016/S0378-4371(00)00127-8

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