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

Zongmin Yue | Zendy; Wenjuan Wang | Zendy

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

Author(s) -

Zongmin Yue,

Wenjuan Wang

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/267173

Subject(s) - mathematics , persistence (discontinuity) , predation , constant (computer programming) , stability (learning theory) , a priori and a posteriori , mathematical analysis , ecology , computer science , biology , philosophy , geotechnical engineering , machine learning , engineering , programming language , epistemology

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

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