Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay

•A diffusive predator-prey system with anti-predator behaviour and maturation delay is considered.•The global stability of boundary equilibrium is studied.•The local stability and Turing instability of coexisting equilibrium are obtained.•The Hopf bifurcation at coexisting equilibrium is studied. Th...

Full description

Saved in:
Bibliographic Details
Published inChaos, solitons and fractals Vol. 109; pp. 128 - 139
Main Authors Yang, Ruizhi, Ma, Jian
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2018
Subjects
Delay
Hopf bifurcation
Predator-prey
Turing instability
Hopf bifurcation
Predator-prey
Turing instability
Delay
Online AccessGet full text
ISSN0960-0779
1873-2887
DOI10.1016/j.chaos.2018.02.006

Cover

More Information
Summary:•A diffusive predator-prey system with anti-predator behaviour and maturation delay is considered.•The global stability of boundary equilibrium is studied.•The local stability and Turing instability of coexisting equilibrium are obtained.•The Hopf bifurcation at coexisting equilibrium is studied. The dynamics of a diffusive predator-prey system with anti-predator behaviour and maturation delay subject to Neumann boundary condition is investigated in this paper. The global stability of boundary equilibrium is studied. For coexisting equilibrium, Turing instability induced by diffusion and Hopf bifurcation induced by time delay are studied. By the theory of normal form and center manifold method, the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are derived.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2018.02.006