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

Joint Authors

Jia, Jianwen
Song, Xinyu
Zhang, Xiaohong

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-08

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhang, Xiaohong& Jia, Jianwen& Song, Xinyu. 2014. Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-448818

Modern Language Association (MLA)

Zhang, Xiaohong…[et al.]. Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay. Journal of Applied Mathematics No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-448818

American Medical Association (AMA)

Zhang, Xiaohong& Jia, Jianwen& Song, Xinyu. Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-448818

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448818