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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 R0e0s, 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 R00e0e triggers the stochastic extinction. © 2024 Elsevier Ltd
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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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