Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection
In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection with HBV DNA-containing capsids. At first, the existence and uniqueness of the global positive solution are obtained. Secondly, the sufficient conditions are derived that the solution of the stochastic...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1875475 |
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| _version_ | 1832552079634202624 |
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| author | Bo Wu Jianwen Jia |
| author_facet | Bo Wu Jianwen Jia |
| author_sort | Bo Wu |
| collection | DOAJ |
| description | In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection with HBV DNA-containing capsids. At first, the existence and uniqueness of the global positive solution are obtained. Secondly, the sufficient conditions are derived that the solution of the stochastic system fluctuates around the disease-free equilibrium E0 and the endemic equilibrium E∗. In the end, some numerical simulations are implemented to support our analytical results. |
| format | Article |
| id | doaj-art-542cd0c270064ce987e2ea723cba8f3e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-542cd0c270064ce987e2ea723cba8f3e2025-02-03T05:59:35ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/18754751875475Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B InfectionBo Wu0Jianwen Jia1School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, ChinaIn this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection with HBV DNA-containing capsids. At first, the existence and uniqueness of the global positive solution are obtained. Secondly, the sufficient conditions are derived that the solution of the stochastic system fluctuates around the disease-free equilibrium E0 and the endemic equilibrium E∗. In the end, some numerical simulations are implemented to support our analytical results.http://dx.doi.org/10.1155/2020/1875475 |
| spellingShingle | Bo Wu Jianwen Jia Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection Complexity |
| title | Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection |
| title_full | Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection |
| title_fullStr | Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection |
| title_full_unstemmed | Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection |
| title_short | Asymptotic Behavior of a Stochastic Delayed Model for Chronic Hepatitis B Infection |
| title_sort | asymptotic behavior of a stochastic delayed model for chronic hepatitis b infection |
| url | http://dx.doi.org/10.1155/2020/1875475 |
| work_keys_str_mv | AT bowu asymptoticbehaviorofastochasticdelayedmodelforchronichepatitisbinfection AT jianwenjia asymptoticbehaviorofastochasticdelayedmodelforchronichepatitisbinfection |