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

Xiaohong Zhang, Jianwen Jia and Xinyu Song

Journal of Applied Mathematics, 2014, vol. 2014, 1-15

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:139046

DOI: 10.1155/2014/139046

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