Title of article
Qualitative analysis of a ratio-dependent Holling–Tanner model
Author/Authors
Zhiqing Liang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
11
From page
954
To page
964
Abstract
In this paper, we consider a Holling–Tanner system with ratio-dependence. First, we establish the sufficient
conditions for the global stability of positive equilibrium by constructing Lyapunov function. Second,
through a simple change of variables, we transform the ratio-dependent Holling–Tanner model into a better
studied Liénard equation. As a result, the uniqueness of limit cycle can be solved.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Lyapunov function , Global asymptotic stability , Holling–Tanner model , Ratio-dependent , Limit cycle
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936127
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