Qualitative analysis of a ratio-dependent Holling-Tanner model

By Zhiqing Liang, H. Pan. 2007

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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 Lienard equation. As a result, the uniqueness of limit cycle can be solved.

Subfields: Genetics, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/b64ce04ca90c4a457b76e514e11b34bcaf90b658