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Please use this identifier to cite or link to this item: http://enpuir.npu.edu.ua/handle/123456789/17104
Title: Microscopic dynamics and kinetic description of spatial ecology models
Authors: Kutovyi, Oleksandr
Tkachov, Pasha
Issue Date: 2017
Publisher: Вид-во НПУ імені М. П. Драгоманова
Citation: Kutovyi, O. Microscopic dynamics and kinetic description of spatial ecology models / O. Kutovyi, P. Tkachov // Міждисциплінарні дослідження складних систем : зб. наук. праць. - Київ : Вид-во НПУ імені М. П. Драгоманова, 2017. - № 10-11. - С. 4-34.
Abstract: We consider a method for the construction of 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 discuss properties of solutions to kinetic equations which strongly depend on characteristics of the models considered. The survey paper is devoted to giving an overview of our recent progress on the subject and it is not intended to be a complete review of the field.
URI: http://enpuir.npu.edu.ua/handle/123456789/17104
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