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.
Citation
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