General population systems. macroscopic limit of a class of stochastic semigroups
type: Item
instance of: scholarly article
title: General population systems. macroscopic limit of a class of stochastic semigroups
zbMATH Open document ID: 1084.34054
author: Mirosław Lachowicz
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-06-23T00:00:00Z
review text: The author investigates three possible descriptions of population models: microscopic level of stochastically interacting individuals in terms of continuous linear semigroups of Markov operators, mesoscopic level in terms of nonlinear semigroups related to bilinear Boltzmann-type integro-differential equations and macroscopic level in terms of dynamical systems related to bilinear Lotka-Volterra-type equations.
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2182085
zbMATH Keywords: population dynamics
zbMATH Keywords: integro-differential equations
zbMATH Keywords: stochastic semigroups
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.03.020
OpenAlex ID: W2023492359
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DOI: 10.1016/J.JMAA.2005.03.020
description: scientific article; zbMATH DE number 2182085