Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses | Zendy

Yuanfu Shao | Zendy; Xiaolan Xie | Zendy; Zhixiang Ju | Zendy

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Global Attractivity of Positive Periodic Solution for a Delayed Predator-Prey System with Diffusion and Impulses

Author(s) -

Yuanfu Shao,

Xiaolan Xie,

Zhixiang Ju

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/459451

Subject(s) - mathematics , predation , functional response , diffusion , control theory (sociology) , lyapunov function , predator , stability (learning theory) , mathematical analysis , computer science , ecology , physics , nonlinear system , biology , thermodynamics , control (management) , quantum mechanics , artificial intelligence , machine learning

By constructing a suitable Lyapunov functional, the global attractivity of positive periodic solutions for a delayed predator-prey system with diffusion and impulses is studied in this paper. Finally, an example and numerical analysis are given to show the effectiveness of the main results

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