Stability and Hopf bifurcation analysis of a diffusive predator-prey model with Smith growth

被引：17

作者：

Sivakumar, M. ^{[1
]}

Sambath, M. ^{[1
]}

Balachandran, K. ^{[1
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 01期

关键词：

Stability analysis; diffusive Holling-Tanner; predator-prey model; Smith growth; Turing instability; TIME DELAYS; SYSTEM; INSTABILITY; POPULATIONS; TOXICANTS;

D O I：

10.1142/S1793524515500138

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider a diffusive Holling-Tanner predator-prey model with Smith growth subject to Neumann boundary condition. We analyze the local stability, existence of a Hopf bifurcation at the co-existence of the equilibrium and stability of bifurcating periodic solutions of the system in the absence of diffusion. Furthermore the Turing instability and Hopf bifurcation analysis of the system with diffusion are studied. Finally numerical simulations are given to demonstrate the effectiveness of the theoretical analysis.

引用

页数：18

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