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

Autor: Buyu Wen, Zhidong Teng, Wenlin Liu
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Complexity, Vol 2019 (2019)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
DOI: 10.1155/2019/7896946
Popis: 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
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