Permanence in N species nonautonomous competitive reaction-diffusion advection system of Kolmogorov type in heterogeneous environment

Balbus, Joanna: Permanence in N species nonautonomous competitive reaction-diffusion advection system of Kolmogorov type in heterogeneous environment. (2018)

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Abstract

One of the important concept in population dynamics is finding conditions under which the population can coexist. Mathematically formulation of this problem we call permanence or uniform persistence. In this paper we consider N species nonautonomous competitive reaction–diffusion–advection system of Kolmogorov type in heterogeneous environment. Applying Ahmad and Lazer’s definitions of lower and upper averages of a function and using the sub- and supersolution methods for PDEs we give sufficient conditions for permanence in such models. We give also a lower estimation on the numbers δi which appear in the definition of permanence in form of parameters of system.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 19
ISSN: 1417-3875
Page Range: pp. 1-18
Uncontrolled Keywords: Matematikai modell - dinamikus rendszerek
Additional Information: Bibliogr.: p. 16-18. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 06. 11:21
Last Modified: 2020. Jul. 29. 12:28
URI: http://acta.bibl.u-szeged.hu/id/eprint/55689

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