Mathematical modeling of hepatitis B virus infection incorporating immune responses
In this paper, we discuss virus dynamics that helps to understand the dynamics of human immunodeficiency virus (HIV), hepatitis B virus (HCB), hepatitis C virus (HCV), and some other viruses. We also discussed the model with the immune system of the hepatitis B virus model with Cytotoxic T Lymphocyt...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2020-01-01
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| Series: | Sensors International |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666351120300176 |
| _version_ | 1819050298735329280 |
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| author | Zahura Khatun Md.Shahidul Islam Uttam Ghosh |
| author_facet | Zahura Khatun Md.Shahidul Islam Uttam Ghosh |
| author_sort | Zahura Khatun |
| collection | DOAJ |
| description | In this paper, we discuss virus dynamics that helps to understand the dynamics of human immunodeficiency virus (HIV), hepatitis B virus (HCB), hepatitis C virus (HCV), and some other viruses. We also discussed the model with the immune system of the hepatitis B virus model with Cytotoxic T Lymphocyte (CTL) immune responses. We obtained the basic reproduction number R0 in all models which can be used to establish the conditions for stability of the equilibrium state. Analyzing the model, we show that if the basic reproductive number of viruses is less than one then the virus-free equilibrium is asymptotically stable and if the basic reproductive ratio is greater than one then the endemic equilibrium is locally asymptotically stable. Mathematical analysis and numerical simulations show that the CTL immune responses play a significant role in eradication of the disease. Ams subject classification 2010: 37N25.34C23.49J15.92D30. |
| first_indexed | 2024-12-21T11:45:50Z |
| format | Article |
| id | doaj.art-c203b5c1e02843c693bbe507ec070916 |
| institution | Directory Open Access Journal |
| issn | 2666-3511 |
| language | English |
| last_indexed | 2024-12-21T11:45:50Z |
| publishDate | 2020-01-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Sensors International |
| spelling | doaj.art-c203b5c1e02843c693bbe507ec0709162022-12-21T19:05:10ZengKeAi Communications Co., Ltd.Sensors International2666-35112020-01-011100017Mathematical modeling of hepatitis B virus infection incorporating immune responsesZahura Khatun0Md.Shahidul Islam1Uttam Ghosh2Department of Mathematics, University of Dhaka, Dhaka, 1000, BangladeshDepartment of Mathematics, University of Dhaka, Dhaka, 1000, BangladeshDepartment of Applied Mathematics, University of Calcutta, Kolkata, India; Corresponding author.In this paper, we discuss virus dynamics that helps to understand the dynamics of human immunodeficiency virus (HIV), hepatitis B virus (HCB), hepatitis C virus (HCV), and some other viruses. We also discussed the model with the immune system of the hepatitis B virus model with Cytotoxic T Lymphocyte (CTL) immune responses. We obtained the basic reproduction number R0 in all models which can be used to establish the conditions for stability of the equilibrium state. Analyzing the model, we show that if the basic reproductive number of viruses is less than one then the virus-free equilibrium is asymptotically stable and if the basic reproductive ratio is greater than one then the endemic equilibrium is locally asymptotically stable. Mathematical analysis and numerical simulations show that the CTL immune responses play a significant role in eradication of the disease. Ams subject classification 2010: 37N25.34C23.49J15.92D30.http://www.sciencedirect.com/science/article/pii/S2666351120300176Immune responseHumoral immunityCytolytic effectorCytotoxic T lymphocyteCentre manifold theorem |
| spellingShingle | Zahura Khatun Md.Shahidul Islam Uttam Ghosh Mathematical modeling of hepatitis B virus infection incorporating immune responses Sensors International Immune response Humoral immunity Cytolytic effector Cytotoxic T lymphocyte Centre manifold theorem |
| title | Mathematical modeling of hepatitis B virus infection incorporating immune responses |
| title_full | Mathematical modeling of hepatitis B virus infection incorporating immune responses |
| title_fullStr | Mathematical modeling of hepatitis B virus infection incorporating immune responses |
| title_full_unstemmed | Mathematical modeling of hepatitis B virus infection incorporating immune responses |
| title_short | Mathematical modeling of hepatitis B virus infection incorporating immune responses |
| title_sort | mathematical modeling of hepatitis b virus infection incorporating immune responses |
| topic | Immune response Humoral immunity Cytolytic effector Cytotoxic T lymphocyte Centre manifold theorem |
| url | http://www.sciencedirect.com/science/article/pii/S2666351120300176 |
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