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

Buyu Wen, Zhidong Teng and Wenlin Liu

Complexity, 2019, vol. 2019, 1-18

Abstract:

This paper investigates a three-patch Rift Valley fever virus transmission model with periodic coefficients. The basic reproduction number 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 - th patch if and dies out in the - th patch if . The numerical simulations are given to confirm the theoretical results.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:7896946

DOI: 10.1155/2019/7896946

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