Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model

Joint Authors

Teng, Zhi-Dong
Wen, Buyu
Liu, Wenlin

Source

Complexity

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-01-09

Country of Publication

Egypt

No. of Pages

18

Main Subjects

Philosophy

Abstract EN

This paper investigates a three-patch Rift Valley fever virus transmission model with periodic coefficients.

The basic reproduction number Ri0i=1,2,3 is calculated for the model by using the next infection operator method.

The threshold conditions on the extinction and permanence in the mean of the disease with probability one.

The Rift Valley fever disease will be permanent in the j-th j=1,2,3 patch if j≥i,Ri0>1 and dies out in the j-th patch if j

The numerical simulations are given to confirm the theoretical results.

American Psychological Association (APA)

Wen, Buyu& Teng, Zhi-Dong& Liu, Wenlin. 2019. Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model. Complexity،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132786

Modern Language Association (MLA)

Wen, Buyu…[et al.]. Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model. Complexity No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1132786

American Medical Association (AMA)

Wen, Buyu& Teng, Zhi-Dong& Liu, Wenlin. Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model. Complexity. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132786

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1132786