4.5 Article

INDIVIDUAL BASED MODEL WITH COMPETITION IN SPATIAL ECOLOGY

Journal

SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 41, Issue 1, Pages 297-317

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/080719376

Keywords

continuous systems; spatial birth-and-death processes; correlation functions; individual based models; spatial plant ecology

Funding

  1. DFG [SFB 701]
  2. German-Ukrainian Projects [436 UKR 113/80, 436 UKR 113/94]
  3. FCT
  4. FEDER
  5. [POCI2010]

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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 the course of the stochastic evolution.

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