Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay | Zendy

Xiaohong Zhang | Zendy; Jianwen Jia | Zendy; Xinyu Song | Zendy

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Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay

Author(s) -

Xiaohong Zhang,

Jianwen Jia,

Xinyu Song

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 - 10.1155/2014/139046

Subject(s) - extinction (optical mineralogy) , mathematics , stability (learning theory) , exponential stability , transmission (telecommunications) , control theory (sociology) , lyapunov function , malaria , computer science , medicine , physics , telecommunications , nonlinear system , artificial intelligence , control (management) , quantum mechanics , machine learning , optics , immunology

We study the permanence, extinction, and global asymptotic stability for a nonautonomous malaria transmission model with distributed time delay. We establish some sufficient conditions on the permanence and extinction of the disease by using inequality analytical techniques. By a Lyapunov functional method, we also obtain some sufficient conditions for global asymptotic stability of this model. A numerical analysis is given to explain the analytical findings

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