Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment

Joint Authors

Cui, Ning
Li, Junhong

Source

The Scientific World Journal

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-11-21

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

This paper considers an SIRS model with nonlinear incidence rate and treatment.

It is assumed that susceptible and infectious individuals have constant immigration rates.

We investigate the existence of equilibrium and prove the global asymptotical stable results of the endemic equilibrium.

We then obtained that the model undergoes a Hopf bifurcation and existences a limit cycle.

Some numerical simulations are given to illustrate the analytical results.

American Psychological Association (APA)

Li, Junhong& Cui, Ning. 2013. Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1032660

Modern Language Association (MLA)

Li, Junhong& Cui, Ning. Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment. The Scientific World Journal No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1032660

American Medical Association (AMA)

Li, Junhong& Cui, Ning. Dynamic Behavior for an SIRS Model with Nonlinear Incidence Rate and Treatment. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1032660

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1032660