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Research Article | Open Access

Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and generalist predator

Chenxuan Nie, Dan Jin( ), Ruizhi Yang
Department of Mathematics, Northeast Forestry University, Harbin 150040, China
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Abstract

A delayed diffusive predator-prey system with nonlocal competition and generalist predators is considered. The local stability of the positive equilibrium and Hopf bifurcation at positive equilibrium is studied by using time delay as a parameter. In addition, the property of Hopf bifurcation is analyzed using the center manifold theorem and normal form method. It is determined that time delays can affect the stability of the positive equilibrium and induce spatial inhomogeneous periodic oscillation of prey and predator population densities.

Keywords

predator-preydelayHopf bifurcationnonlocal competition
CLC number: 34K18, 35B32

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 13344-13360
DOI: 10.3934/math.2022737

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Cite this article:
Nie C, Jin D, Yang R. Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and generalist predator. AIMS Mathematics, 2022, 7(7): 13344-13360. https://doi.org/10.3934/math.2022737

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Received: 22 February 2022
Revised: 24 April 2022
Accepted: 04 May 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)