Global properties for virus dynamics model with Beddington-DeAngelis functional response (Q1036816)
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scientific article; zbMATH DE number 5632811
| Language | Label | Description | Also known as |
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| English | Global properties for virus dynamics model with Beddington-DeAngelis functional response |
scientific article; zbMATH DE number 5632811 |
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Global properties for virus dynamics model with Beddington-DeAngelis functional response (English)
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13 November 2009
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The paper investigates the global stability of a three dimensional virus dynamics model with Beddington-DeAngelis infection rate. By constructing a Lyapunov functional for the system of equations, it is shown that the uninfected steady state is globally asymptotically stable if the reproductive ratio of the virus less than or equal to one, and the infected steady state is globally asymptotically stable for a reproductive ratio larger than one.
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virus dynamics
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global stability
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Lyapunov function
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