Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function
In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number $\mathcal{R}_{0}$ of the model is obtained. We investigate the global behavior of the model in terms of $\mathcal{R}_{0}$: if $\mathcal{R...
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| Language: | English |
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AIMS Press
2015-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.859 |
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| author | Yu Yang Shigui Ruan Dongmei Xiao |
| author_facet | Yu Yang Shigui Ruan Dongmei Xiao |
| author_sort | Yu Yang |
| collection | DOAJ |
| description | In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number $\mathcal{R}_{0}$ of the model is obtained. We investigate the global behavior of the model in terms of $\mathcal{R}_{0}$: if $\mathcal{R}_{0}\leq1$, then the infection-free equilibrium is globally asymptotically stable, whereas if $\mathcal{R}_{0}>1$, then the infection equilibrium is globally asymptotically stable. Finally, some special cases, which reduce to some known HIV infection models studied by other researchers, are considered. |
| format | Article |
| id | doaj-art-66f34e06aeed417d8aede48a8ae16a42 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-66f34e06aeed417d8aede48a8ae16a422025-01-24T02:32:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-03-0112485987710.3934/mbe.2015.12.859Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection functionYu Yang0Shigui Ruan1Dongmei Xiao2School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number $\mathcal{R}_{0}$ of the model is obtained. We investigate the global behavior of the model in terms of $\mathcal{R}_{0}$: if $\mathcal{R}_{0}\leq1$, then the infection-free equilibrium is globally asymptotically stable, whereas if $\mathcal{R}_{0}>1$, then the infection equilibrium is globally asymptotically stable. Finally, some special cases, which reduce to some known HIV infection models studied by other researchers, are considered.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.859age structurevirus dynamics modelliapunov functioninfection equilibriumglobal stability. |
| spellingShingle | Yu Yang Shigui Ruan Dongmei Xiao Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function Mathematical Biosciences and Engineering age structure virus dynamics model liapunov function infection equilibrium global stability. |
| title | Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function |
| title_full | Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function |
| title_fullStr | Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function |
| title_full_unstemmed | Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function |
| title_short | Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function |
| title_sort | global stability of an age structured virus dynamics model with beddington deangelis infection function |
| topic | age structure virus dynamics model liapunov function infection equilibrium global stability. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.859 |
| work_keys_str_mv | AT yuyang globalstabilityofanagestructuredvirusdynamicsmodelwithbeddingtondeangelisinfectionfunction AT shiguiruan globalstabilityofanagestructuredvirusdynamicsmodelwithbeddingtondeangelisinfectionfunction AT dongmeixiao globalstabilityofanagestructuredvirusdynamicsmodelwithbeddingtondeangelisinfectionfunction |