General population systems. Macroscopic limit of a class of stochastic semigroups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:307

Article

Lachowicz, M

关键词: population dynamics;    ODE;    reaction-diffusion equations;    integro-differential equations;    stochastic semigroups;   

DOI  :  10.1016/j.jmaa.2005.03.020

来源: Elsevier

【 摘 要 】

Relationships between three possible descriptions: microscopic, mesoscopic and macroscopic that are related to a large population composed of several subpopulations, are formulated. The systems describing the evolution of a large number of individuals undergoing stochastic interactions (a description at microscopic level) in terms of stochastic semigroups are considered. The solutions of the general Lotka-Volterra-type equations without or with (weak) diffusion (descriptions at macroscopic level) are approximated by solutions of stochastic systems when the number of individuals N tends to infinity. The rate of approximation is controlled. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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