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author:

Wang, L. (Wang, L..) [1] | Wei, F. (Wei, F..) [2] | Jin, Z. (Jin, Z..) [3] | Mao, X. (Mao, X..) [4]

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Abstract:

We propose a stochastic HCV model with protection awareness and exposed-acute-chronic phases in this study. First of all, we show that the stochastic HCV model admits a unique global positive solution for any given positive initial values. Then, we verify that HCV model has a unique stationary distribution under the sufficient criterion R0s>1, which indicates that HCV transmission undergoes the persistence in the long term. Furthermore, we derive the sufficient conditions for HCV extinction under the condition R0e<1. As a consequence, we derive the relationships among the stochastic persistence index R0s, the stochastic extinction index R0e and the threshold (the basic reproduction number R0) of the model without fluctuations. The condition R0>R0s>1 reveals that the existence of the white noises triggers the less stochastic persistence index. While, the condition R0<R0e<1 reveals that, when the intensities of the white noises are enhanced, the value R0e triggers the stochastic extinction. © 2024 Elsevier Ltd

Keyword:

Extinction HCV Protection awareness Stationary distribution

Community:

  • [ 1 ] [Wang L.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 2 ] [Wei F.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 3 ] [Wei F.]Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 4 ] [Wei F.]Center for Applied Mathematics of Fujian Province, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 5 ] [Jin Z.]Complex Models Research Center, Shanxi University, Shanxi, Taiyuan, 030006, China
  • [ 6 ] [Mao X.]Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, United Kingdom

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Source :

Applied Mathematics Letters

ISSN: 0893-9659

Year: 2025

Volume: 160

2 . 9 0 0

JCR@2023

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 0

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