Qualitative analysis of a ratio-dependent Holling-Tanner model
Qualitative analysis of a ratio-dependent Holling-Tanner model
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DOI：
10.1016/j.jmaa.2006.12.079
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发表时间：
2007-10
影响因子：
1.3
通讯作者：
Zhiqing Liang;H. Pan
中科院分区：
文献类型：
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作者：
Zhiqing Liang;H. Pan
本文考虑一类具有比率依赖的Holling-Tanner系统。首先，通过构造李雅普诺夫函数，给出了正平衡点全局稳定的充分条件。其次，通过简单的变量变换，我们将比率依赖的Holling-Tanner模型转化为更好地研究的Liénard方程。从而解决了极限环的唯一性问题。
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.