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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| Format: | Article |
| Language: | Chinese |
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Harbin University of Science and Technology Publications
2023-06-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2223 |
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| author | KANG Yujiao ZHANG Tailei MA Yiting |
| author_facet | KANG Yujiao ZHANG Tailei MA Yiting |
| author_sort | KANG Yujiao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8e5dbb7aa9224871aa6ac2704a317614 |
| institution | Matheson Library |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2023-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-8e5dbb7aa9224871aa6ac2704a3176142025-07-20T02:02:23ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832023-06-01280312913910.15938/j.jhust.2023.03.016Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic EffectsKANG Yujiao0ZHANG Tailei1MA Yiting2School of Science, Chang′an University, Xi′an 710064, ChinaSchool of Science, Chang′an University, Xi′an 710064, ChinaSchool of Science, Chang′an University, Xi′an 710064, ChinaIn 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.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2223stochastic modelequilibrium pointoscillatory behaviorito formuladisease persistence and extinction |
| spellingShingle | KANG Yujiao ZHANG Tailei MA Yiting Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects Journal of Harbin University of Science and Technology stochastic model equilibrium point oscillatory behavior ito formula disease persistence and extinction |
| title | Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects |
| title_full | Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects |
| title_fullStr | Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects |
| title_full_unstemmed | Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects |
| title_short | Dynamic Analysis of an SICR Hepatitis C Infection Model with Stochastic Effects |
| title_sort | dynamic analysis of an sicr hepatitis c infection model with stochastic effects |
| topic | stochastic model equilibrium point oscillatory behavior ito formula disease persistence and extinction |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2223 |
| work_keys_str_mv | AT kangyujiao dynamicanalysisofansicrhepatitiscinfectionmodelwithstochasticeffects AT zhangtailei dynamicanalysisofansicrhepatitiscinfectionmodelwithstochasticeffects AT mayiting dynamicanalysisofansicrhepatitiscinfectionmodelwithstochasticeffects |