Dynamics of a Leslie-Gower predator-prey system with cross-diffusion

Dynamics of a Leslie-Gower predator-prey system with cross-diffusion

A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown. Some sufficient conditions ensuring the existence of nonconstant solutions are obtained by means of the Leray–Schauder degree th...

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Bibliographic Details
Main Authors: Rong Zou, Shangjiang Guo
Format: Article
Language:English
Published: University of Szeged 2020-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
cross-diffusion
predator–prey system
global existence
stability
hopf bifurcation
bogdanov–takens bifurcation
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7755

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7755

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