Qualitative Analysis of a Diffusive Ratio-Dependent Holling-Tanner Predator-Prey Model with Smith Growth

Zongmin Yue and Wenjuan Wang

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-9

Abstract:

We investigated the dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition. Some qualitative properties, including the dissipation, persistence, and local and global stability of positive constant solution, are discussed. Moreover, we give the refined a priori estimates of positive solutions and derive some results for the existence and nonexistence of nonconstant positive steady state.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:267173

DOI: 10.1155/2013/267173

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