Analysis of a differential equation model of HIV infection of CD4\(^{+} T\)-cells with saturated reverse function (Q2889925)
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scientific article; zbMATH DE number 6044056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of a differential equation model of HIV infection of CD4\(^{+} T\)-cells with saturated reverse function |
scientific article; zbMATH DE number 6044056 |
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8 June 2012
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HIV infection
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globally asymptotical stability
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periodic solution
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permanence
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0.9483116
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0.9482062
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0.94086987
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0.93831503
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0.9363508
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0.9355129
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Analysis of a differential equation model of HIV infection of CD4\(^{+} T\)-cells with saturated reverse function (English)
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The authors study an HIV infection model with RT treatment. They propose to use a saturated function to describe the RT treatment. After a basic reproduction number is identified, they establish the existence of the unique infection free equilibrium and the endemic equilibrium(s). Then the stability analysis is carried out. The global stability results are established using a result for competitive systems. They also prove sufficient conditions for the existence of an orbitally asymptotically stable periodic solution.
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