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arxiv: 0803.3565 · v1 · pith:WBZFEAV3new · submitted 2008-03-25 · 🧮 math-ph · math.FA· math.MP· q-bio.PE

Individual based model with competition in spatial ecology

classification 🧮 math-ph math.FAmath.MPq-bio.PE
keywords competitionevolutionanalyzebehaviorbirth-and-deathcoursedensitydependent
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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.

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