Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate
A virus dynamics model with logistic function, general incidence function, and cure rate is considered. By carrying out mathematical analysis, we show that the infection-free equilibrium is globally asymptotically stable if the basic reproduction number ℛ0≤1. If ℛ0>1, then the infection equilibri...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/726349 |
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| _version_ | 1832558367473664000 |
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| author | Yu Yang |
| author_facet | Yu Yang |
| author_sort | Yu Yang |
| collection | DOAJ |
| description | A virus dynamics model with logistic function, general incidence function, and cure rate is considered. By carrying out mathematical analysis, we show that the infection-free equilibrium is globally asymptotically stable if the basic reproduction number ℛ0≤1. If ℛ0>1, then the infection equilibrium is globally asymptotically stable under some assumptions. Furthermore, we also obtain the conditions for which the model exists an orbitally asymptotically stable periodic solution. Examples are provided to support our analytical conclusions. |
| format | Article |
| id | doaj-art-12af9d6fb03b43cd91b9b744bd949176 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-12af9d6fb03b43cd91b9b744bd9491762025-02-03T01:32:29ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/726349726349Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure RateYu Yang0School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012, ChinaA virus dynamics model with logistic function, general incidence function, and cure rate is considered. By carrying out mathematical analysis, we show that the infection-free equilibrium is globally asymptotically stable if the basic reproduction number ℛ0≤1. If ℛ0>1, then the infection equilibrium is globally asymptotically stable under some assumptions. Furthermore, we also obtain the conditions for which the model exists an orbitally asymptotically stable periodic solution. Examples are provided to support our analytical conclusions.http://dx.doi.org/10.1155/2014/726349 |
| spellingShingle | Yu Yang Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate Abstract and Applied Analysis |
| title | Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate |
| title_full | Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate |
| title_fullStr | Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate |
| title_full_unstemmed | Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate |
| title_short | Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate |
| title_sort | global analysis of a virus dynamics model with general incidence function and cure rate |
| url | http://dx.doi.org/10.1155/2014/726349 |
| work_keys_str_mv | AT yuyang globalanalysisofavirusdynamicsmodelwithgeneralincidencefunctionandcurerate |