Spatiotemporal dynamics of a diffusive predator–prey model with fear effect

Jia Liu, Yun Kang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper concerned with a diffusive predator–prey model with fear effect. First, some basic dynamics of system is analyzed. Then based on stability analysis, we derive some conditions for stability and bifurcation of constant steady state. Furthermore, we derive some results on the existence and nonexistence of nonconstant steady states of this model by considering the effect of diffusion. Finally, we present some numerical simulations to verify our theoretical results. By mathematical and numerical analyses, we find that the fear can prevent the occurrence of limit cycle oscillation and increase the stability of the system, and the diffusion can also induce the chaos in the system.

Original languageEnglish (US)
Pages (from-to)841-862
Number of pages22
JournalNonlinear Analysis: Modelling and Control
Volume27
Issue number5
DOIs
StatePublished - May 14 2022
Externally publishedYes

Keywords

  • diffusion
  • fear effect
  • predator–prey model
  • stability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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