A Lyapunov Function and Global Stability for a Class of Predator-Prey Models | Zendy

Xiaoqin Wang | Zendy; MA Hui-hai | Zendy

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A Lyapunov Function and Global Stability for a Class of Predator-Prey Models

Author(s) -

Xiaoqin Wang,

MA Hui-hai

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 - 10.1155/2012/218785

Subject(s) - lyapunov function , stability (learning theory) , class (philosophy) , predation , mathematics , lyapunov redesign , lyapunov equation , control theory (sociology) , function (biology) , predator , computer science , ecology , nonlinear system , physics , biology , artificial intelligence , control (management) , machine learning , quantum mechanics , evolutionary biology

We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used

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