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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 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.
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APPLIED MATHEMATICS LETTERS
ISSN: 0893-9659
Year: 2024
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