Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:358

Article

Saha, Tapan¹  Chakrabarti, Charugopal² 

[1] Haldia Govt Coll, Dept Math, E Midnapore 721657, India

[2] Univ Calcutta, Dept Appl Math, Kolkata 700009, India

关键词: Holling-Tanner model;    Ratio-dependent response;    Time delay;    Hopf-bifurcation;    Blow up transformation;    Lyapunov function;    Global asymptotic stability;   

DOI  :  10.1016/j.jmaa.2009.03.072

来源: Elsevier

【 摘 要 】

In this paper, a delayed Holling-Tanner preclator-prey model with ratio-dependent functional response is considered. It is proved that the model system is permanent under certain conditions. The local asymptotic stability and the Hopf-bifurcation results are discussed. Qualitative behaviour of the singularity (0, 0) is explored by using a blow up transformation. Global asymptotic stability analysis of the positive equilibrium is carried Out. Numerical simulations are presented for the Support of our analytical findings. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free