Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate

Joint Authors

Yuan, Chengjun
Jiang, Daqing
Han, Qixing

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-04

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We investigate a stochastic SIS model with nonlinear incidence rate.

We show that there exists a unique nonnegative solution to the system, and condition for the infectious individuals I(t) to be extinct is given.

Moreover, we prove that the system has ergodic property.

Finally, computer simulations are carried out to verify our results.

American Psychological Association (APA)

Han, Qixing& Jiang, Daqing& Yuan, Chengjun. 2013. Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-447788

Modern Language Association (MLA)

Han, Qixing…[et al.]. Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-447788

American Medical Association (AMA)

Han, Qixing& Jiang, Daqing& Yuan, Chengjun. Extinction and Ergodic Property of Stochastic SIS Epidemic Model with Nonlinear Incidence Rate. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-447788

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-447788