Microscopic Dynamics and Kinetic Description of Spatial Ecology Models

Kutovyi O, Tkachov P (2017)
Interdisciplinary Studies of Complex Systems (10-11): 4-34.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kutovyi, OleksandrUniBi; Tkachov, Pasha
Abstract / Bemerkung
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.
Erscheinungsjahr
2017
Zeitschriftentitel
Interdisciplinary Studies of Complex Systems
Ausgabe
10-11
Seite(n)
4-34
ISSN
2307-4515
Page URI
https://pub.uni-bielefeld.de/record/2918294

Zitieren

Kutovyi O, Tkachov P. Microscopic Dynamics and Kinetic Description of Spatial Ecology Models. Interdisciplinary Studies of Complex Systems. 2017;(10-11):4-34.
Kutovyi, O., & Tkachov, P. (2017). Microscopic Dynamics and Kinetic Description of Spatial Ecology Models. Interdisciplinary Studies of Complex Systems(10-11), 4-34.
Kutovyi, O., and Tkachov, P. (2017). Microscopic Dynamics and Kinetic Description of Spatial Ecology Models. Interdisciplinary Studies of Complex Systems, 4-34.
Kutovyi, O., & Tkachov, P., 2017. Microscopic Dynamics and Kinetic Description of Spatial Ecology Models. Interdisciplinary Studies of Complex Systems, (10-11), p 4-34.
O. Kutovyi and P. Tkachov, “Microscopic Dynamics and Kinetic Description of Spatial Ecology Models”, Interdisciplinary Studies of Complex Systems, 2017, pp. 4-34.
Kutovyi, O., Tkachov, P.: Microscopic Dynamics and Kinetic Description of Spatial Ecology Models. Interdisciplinary Studies of Complex Systems. 4-34 (2017).
Kutovyi, Oleksandr, and Tkachov, Pasha. “Microscopic Dynamics and Kinetic Description of Spatial Ecology Models”. Interdisciplinary Studies of Complex Systems 10-11 (2017): 4-34.

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