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2014 Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay
Xiaohong Zhang, Jianwen Jia, Xinyu Song
J. Appl. Math. 2014: 1-15 (2014). DOI: 10.1155/2014/139046

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.

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Xiaohong Zhang. Jianwen Jia. Xinyu Song. "Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay." J. Appl. Math. 2014 1 - 15, 2014. https://doi.org/10.1155/2014/139046

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131348
MathSciNet: MR3208615
Digital Object Identifier: 10.1155/2014/139046

Rights: Copyright © 2014 Hindawi

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