Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges | Zendy

Fengde Chen | Zendy; Yumin Wu | Zendy; Zhaozhi Ma | Zendy

Open Access

Stability Property for the Predator-Free Equilibrium Point of Predator-Prey Systems with a Class of Functional Response and Prey Refuges

Author(s) -

Fengde Chen,

Yumin Wu,

Zhaozhi Ma

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 - 10.1155/2012/148942

Subject(s) - functional response , predator , predation , equilibrium point , stability (learning theory) , stability theory , class (philosophy) , mathematics , property (philosophy) , control theory (sociology) , mathematical economics , ecology , mathematical analysis , biology , computer science , physics , nonlinear system , quantum mechanics , machine learning , artificial intelligence , philosophy , control (management) , epistemology , differential equation

We investigate the stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges by using the analytical approach. Under some very weakly assumption, we show that conditions that ensure the locally asymptotically stable of the predator-free equilibrium point are consistent with that of the globally asymptotically stable ones. Our result supplements the corresponding result of Ma et al., 2009

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