Analysis on a diffusive multiple Allee effects predator–prey model induced by fear factors

This paper is concerned with a diffusive predator–prey system with multiple Allee effects induced by fear factors subject to Neumann boundary conditions. Firstly, we introduce a priori estimates of non-negative and non-trivial solutions. Moreover, nonexistence of non-constant positive solutions are...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 59; p. 103249
Main Authors Shi, Yao, Wu, Jianhua, Cao, Qian
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2021
Subjects
Allee effect
Bifurcation
Fear factors
Predator–prey
Bifurcation
Predator–prey
Allee effect
Fear factors
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Summary:This paper is concerned with a diffusive predator–prey system with multiple Allee effects induced by fear factors subject to Neumann boundary conditions. Firstly, we introduce a priori estimates of non-negative and non-trivial solutions. Moreover, nonexistence of non-constant positive solutions are shown for certain parameters ranges. Secondly, we study the stability of non-negative constant solutions by the linearized theory. Then, by choosing the Allee threshold θ as the bifurcation parameter, we investigate the spatially homogeneous and non-homogeneous periodic solutions as well as non-constant steady-state solutions. Finally, some theoretical results are illustrated by numerical simulations.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2020.103249