Markov evolutions in spatial ecology: from microscopic dynamics to kinetics (Q776396)
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scientific article; zbMATH DE number 7219041
| Language | Label | Description | Also known as |
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| English | Markov evolutions in spatial ecology: from microscopic dynamics to kinetics |
scientific article; zbMATH DE number 7219041 |
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Markov evolutions in spatial ecology: from microscopic dynamics to kinetics (English)
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9 July 2020
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Summary: In this summary, we construct Markov statistical dynamics for a class of birth-and-death ecological models in the continuum. Mesoscopic scaling limits for these dynamics lead to the kinetic equations for the density of a population. The resulting evolution equations are non-local and non-linear ones. We study properties of solutions to kinetic equations which strongly depend on characteristics of the models considered. For the entire collection see [Zbl 1416.60012].
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Markov statistical dynamics
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birth-and-death model
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ecological model
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0.8764622
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