Delay-induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio-dependent response and Smith growth

Delay-induced Hopf bifurcation in a diffusive Holling–Tanner predator–prey model with ratio-dependent response and Smith growth

Abstract In this paper, we study a diffusion Holling–Tanner predator–prey model with ratio-dependent functional response and Simth growth subject to a homogeneous Neumann boundary condition. Firstly, we use iteration technique and eigenvalue analysis to get the local stability and a Hopf bifurcation...

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Bibliographic Details
Main Authors: Huiping Fang, Ling Hu, Yongfeng Wu
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Advances in Difference Equations
Subjects:
Diffusion
Delay
Simth growth
Positive equilibrium
Hopf bifurcation
Online Access:http://link.springer.com/article/10.1186/s13662-018-1726-4

Internet

http://link.springer.com/article/10.1186/s13662-018-1726-4

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