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Individual Based Model with Competition in Spatial Ecology
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
Source 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 the course of the stochastic evolution.
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