Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation

Joint Authors

Wang, Zhigang
Fan, Xiaoming
Xu, Xuelian

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-03-08

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium.

Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large.

In addition, a sufficient stability condition is obtained by constructing suitable Lyapunov function.

American Psychological Association (APA)

Fan, Xiaoming& Wang, Zhigang& Xu, Xuelian. 2012. Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-448228

Modern Language Association (MLA)

Fan, Xiaoming…[et al.]. Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation. Abstract and Applied Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-448228

American Medical Association (AMA)

Fan, Xiaoming& Wang, Zhigang& Xu, Xuelian. Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-448228

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448228