Model for hepatitis C virus transmissions
Hepatitis C virus (HCV) is a leading cause of chronic liver disease. Thispaper presents a deterministic model for HCV infection transmission and usesthe model to assess the potential impact of antiviral therapy. The model isbased on the susceptible-infective-removed-susceptible (SIRS) compartmentals...
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| Language: | English |
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AIMS Press
2013-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1045 |
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| author | Elamin H. Elbasha |
| author_facet | Elamin H. Elbasha |
| author_sort | Elamin H. Elbasha |
| collection | DOAJ |
| description | Hepatitis C virus (HCV) is a leading cause of chronic liver disease. Thispaper presents a deterministic model for HCV infection transmission and usesthe model to assess the potential impact of antiviral therapy. The model isbased on the susceptible-infective-removed-susceptible (SIRS) compartmentalstructure with chronic primary infection and possibility of reinfection.Important epidemiologic thresholds such as the basic and controlreproduction numbers and a measure of treatment impact are derived. We findthat if the control reproduction number is greater than unity, there is alocally unstable infection-free equilibrium and a unique, globallyasymptotically stable endemic equilibrium. If the control reproductionnumber is less than unity, the infection-free equilibrium is globallyasymptotically stable, and HCV will be eliminated. Numerical simulationssuggest that, besides the parameters that determine the basic reproductionnumber, reinfection plays an important role in HCV transmissions andmagnitude of the public health impact of antiviral therapy. Further,treatment regimens with better efficacy holds great promise for lowering thepublic health burden of HCV disease. |
| format | Article |
| id | doaj-art-cd1841664de943179b42c1d790e75135 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-cd1841664de943179b42c1d790e751352025-01-24T02:26:20ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-05-011041045106510.3934/mbe.2013.10.1045Model for hepatitis C virus transmissionsElamin H. Elbasha0Merck Research Laboratories, UG1C-60, PO Box 1000, North Wales, PA 19454-1099Hepatitis C virus (HCV) is a leading cause of chronic liver disease. Thispaper presents a deterministic model for HCV infection transmission and usesthe model to assess the potential impact of antiviral therapy. The model isbased on the susceptible-infective-removed-susceptible (SIRS) compartmentalstructure with chronic primary infection and possibility of reinfection.Important epidemiologic thresholds such as the basic and controlreproduction numbers and a measure of treatment impact are derived. We findthat if the control reproduction number is greater than unity, there is alocally unstable infection-free equilibrium and a unique, globallyasymptotically stable endemic equilibrium. If the control reproductionnumber is less than unity, the infection-free equilibrium is globallyasymptotically stable, and HCV will be eliminated. Numerical simulationssuggest that, besides the parameters that determine the basic reproductionnumber, reinfection plays an important role in HCV transmissions andmagnitude of the public health impact of antiviral therapy. Further,treatment regimens with better efficacy holds great promise for lowering thepublic health burden of HCV disease.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1045reproduction number.global stabilityendemic equilibriumhcvmathematical modeltreatmentreinfection |
| spellingShingle | Elamin H. Elbasha Model for hepatitis C virus transmissions Mathematical Biosciences and Engineering reproduction number. global stability endemic equilibrium hcv mathematical model treatment reinfection |
| title | Model for hepatitis C virus transmissions |
| title_full | Model for hepatitis C virus transmissions |
| title_fullStr | Model for hepatitis C virus transmissions |
| title_full_unstemmed | Model for hepatitis C virus transmissions |
| title_short | Model for hepatitis C virus transmissions |
| title_sort | model for hepatitis c virus transmissions |
| topic | reproduction number. global stability endemic equilibrium hcv mathematical model treatment reinfection |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1045 |
| work_keys_str_mv | AT elaminhelbasha modelforhepatitiscvirustransmissions |