Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects
In order to study the influence of uncertain factors on hepatitis C in reality, a randomized SICR hepatitis C model with acute and chronic infection was considered. Firstly, the existence and uniqueness of global positive solutions are proved according to the stopping time theory; secondly, by const...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | Chinese |
| Published: |
Harbin University of Science and Technology Publications
2023-06-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2223 |
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| Summary: | In order to study the influence of uncertain factors on hepatitis C in reality, a randomized SICR hepatitis C model with acute and chronic infection was considered. Firstly, the existence and uniqueness of global positive solutions are proved according to the stopping time theory; secondly, by constructing Lyapunov function and combining Ito formula, the oscillation behavior of the solution of the stochastic model near the disease-free equilibrium point and the positive equilibrium point of the model is discussed, and then the sufficient conditions for the average persistence and disease extinction of the solution of the stochastic model are given. Finally, the numerical simulation considers the influence of noise on the model. The results show that the stochastic model is disturbed near the equilibrium point of the determined model, and the disturbance intensity is positively correlated with the noise intensity. Moreover, the noise is large enough to make the disease extinct, which further confirms the theoretical results. |
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| ISSN: | 1007-2683 |