An Impulsive Periodic Single-Species Logistic System with Diffusion | Zendy

Chenxue Yang | Zendy; Mao Ye | Zendy; Zijian Liu | Zendy

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An Impulsive Periodic Single-Species Logistic System with Diffusion

Author(s) -

Chenxue Yang,

Mao Ye,

Zijian Liu

Publication year - 2013

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 - 10.1155/2013/101238

Subject(s) - integrable system , logistic function , lyapunov function , extinction (optical mineralogy) , mathematics , biological dispersal , diffusion , mathematical analysis , control theory (sociology) , computer science , statistics , physics , demography , nonlinear system , thermodynamics , artificial intelligence , population , quantum mechanics , sociology , optics , control (management)

We study a single-species periodic logistic type dispersal system in a patchy environment with impulses. On the basis of inequality estimation technique, sufficient conditions of integrable form for the permanence and extinction of the system are obtained. By constructing an appropriate Lyapunov function, conditions for the existence of a unique globally attractively positive periodic solution are also established. Numerical examples are shown to verify the validity of our results and to further discuss the model

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