Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis

Joint Authors

Qi, Haokun
Liu, Lidan
Meng, Xinzhu

Source

Complexity

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-11-08

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Philosophy

Abstract EN

We investigate the dynamics of a nonautonomous stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis.

By constructing suitable stochastic Lyapunov functions and using Has’minskii theory, we prove that there exists at least one nontrivial positive periodic solution of the system.

Moreover, the sufficient conditions for extinction of the disease are obtained by using the theory of nonautonomous stochastic differential equations.

Finally, numerical simulations are utilized to illustrate our theoretical analysis.

American Psychological Association (APA)

Qi, Haokun& Liu, Lidan& Meng, Xinzhu. 2017. Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis. Complexity،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1142929

Modern Language Association (MLA)

Qi, Haokun…[et al.]. Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis. Complexity No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1142929

American Medical Association (AMA)

Qi, Haokun& Liu, Lidan& Meng, Xinzhu. Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis. Complexity. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1142929

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1142929