Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations (Q2842034)
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scientific article; zbMATH DE number 6192888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations |
scientific article; zbMATH DE number 6192888 |
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30 July 2013
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spatial birth-and-death processes
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individual based models
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establishment
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fecundity
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Vlasov-type equation
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Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations (English)
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The independent and density dependent dispersion of spreading is studied for a class of spatial population dynamics given by birth-death processes, where the mortality is constant, but the birth rate is influenced by establishment or fecundity mechanisms. After constructing the state evolution equation, using a method developed from their previous paper [J. Funct. Anal. 262, No. 3, 1274--1308 (2012; Zbl 1250.47090)], the authors analyze the mesoscopic limit for the underlying stochastic dynamics and derive the corresponding Vlasov-type nonlinear kinetic equations.
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