Global Asymptotic Stability of a Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes | Zendy

Shengbin Yu | Zendy

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Global Asymptotic Stability of a Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes

Author(s) -

Shengbin Yu

Publication year - 2012

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 - 10.1155/2012/208167

Subject(s) - lemma (botany) , mathematics , stability (learning theory) , exponential stability , predation , lyapunov function , type (biology) , functional response , predator , control theory (sociology) , mathematical economics , computer science , ecology , physics , nonlinear system , biology , poaceae , control (management) , quantum mechanics , machine learning , artificial intelligence

We study the predator-prey model proposed by Aziz-Alaoui and Okiye (Appl. Math. Lett. 16 (2003) 1069–1075) First, the structure of equilibria and their linearized stability is investigated. Then, we provide two sufficient conditions on the global asymptotic stability of a positive equilibrium by employing the Fluctuation Lemma and Lyapunov direct method, respectively. The obtained results not only improve but also supplement existing ones

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