Individual based model with competition in spatial ecology

Abstract

We analyze an interacting particle system with a Markov evolution of birth-and-death type. We have shown that a local competition mechanism (realized via a density dependent mortality) leads to a globally regular behavior of the population in course of the stochastic evolution.

22 pages

References in corpus (2)

• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• Markov evolutions and hierarchical equations in the continuum I. One-component systems