The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence

Joint Authors

Zhu, Chunjuan
Zeng, Guangzhao
Sun, Yufeng

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2017-02-28

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

The threshold of a stochastic SIRS model with vertical transmission and saturated incidence is investigated.

If the noise is small, it is shown that the threshold of the stochastic system determines the extinction and persistence of the epidemic.

In addition, we find that if the noise is large, the epidemic still prevails.

Finally, numerical simulations are given to illustrate the results.

American Psychological Association (APA)

Zhu, Chunjuan& Zeng, Guangzhao& Sun, Yufeng. 2017. The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151545

Modern Language Association (MLA)

Zhu, Chunjuan…[et al.]. The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1151545

American Medical Association (AMA)

Zhu, Chunjuan& Zeng, Guangzhao& Sun, Yufeng. The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151545

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1151545