Markov evolutions in spatial ecology: From microscopic dynamics to kinetics
Yuri Kondratiev
Universität Bielefeld, GermanyOleksandr Kutoviy
Universität Bielefeld, GermanyPavlo Tkachov
Universität Bielefeld, Germany
![Markov evolutions in spatial ecology: From microscopic dynamics to kinetics cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fbooks%2Fcover-169.jpg&w=3840&q=90)
Download Chapter PDF
A subscription is required to access this book chapter.
Abstract
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.