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author:

Wang, Liangwei (Wang, Liangwei.) [1] | Wei, Fengying (Wei, Fengying.) [2] (Scholars:魏凤英) | Jin, Zhen (Jin, Zhen.) [3] | Mao, Xuerong (Mao, Xuerong.) [4]

Indexed by:

EI Scopus SCIE

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 R-0(s )> 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 R-0(e )< 1. As a consequence, we derive the relationships among the stochastic persistence index R-0(s), the stochastic extinction index R-0(e ) and the threshold (the basic reproduction number R0) of the model without fluctuations. The condition R-0 > R-0(s )> 1 reveals that the existence of the white noises triggers the less stochastic persistence index. While, the condition R-0 < R-0(e )< 1 reveals that, when the intensities of the white noises are enhanced, the value R-0(e ) triggers the stochastic extinction.

Keyword:

Extinction HCV Protection awareness Stationary distribution

Community:

  • [ 1 ] [Wang, Liangwei]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Wei, Fengying]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Fujian, Peoples R China
  • [ 3 ] [Wei, Fengying]Fuzhou Univ, Univ Fujian, Key Lab Operat Res & Control, Fuzhou 350116, Fujian, Peoples R China
  • [ 4 ] [Wei, Fengying]Fuzhou Univ, Ctr Appl Math Fujian Prov, Fuzhou 350116, Fujian, Peoples R China
  • [ 5 ] [Jin, Zhen]Shanxi Univ, Complex Models Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
  • [ 6 ] [Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Scotland

Reprint 's Address:

  • 魏凤英

    [Wei, Fengying]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Fujian, Peoples R China;;[Wei, Fengying]Fuzhou Univ, Univ Fujian, Key Lab Operat Res & Control, Fuzhou 350116, Fujian, Peoples R China;;[Wei, Fengying]Fuzhou Univ, Ctr Appl Math Fujian Prov, Fuzhou 350116, Fujian, Peoples R China;;[Jin, Zhen]Shanxi Univ, Complex Models Res Ctr, Taiyuan 030006, Shanxi, Peoples R China;;[Mao, Xuerong]Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Scotland

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Source :

APPLIED MATHEMATICS LETTERS

ISSN: 0893-9659

Year: 2024

Volume: 160

2 . 9 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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