Global dynamics of a delayed HIV-1 infection model with CTL immune response (Q659537)
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scientific article; zbMATH DE number 5999650
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| English | Global dynamics of a delayed HIV-1 infection model with CTL immune response |
scientific article; zbMATH DE number 5999650 |
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Global dynamics of a delayed HIV-1 infection model with CTL immune response (English)
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23 January 2012
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Summary: A delayed HIV-1 infection model with CTL immune response is investigated. By using suitable Lyapunov functionals, it is proved that the infection-free equilibrium is globally asymptotically stable if the basic reproduction ratio for viral infection is less than or equal to unity; if the basic reproduction ratio for CTL immune response is less than or equal to unity and the basic reproduction ratio for viral infection is greater than unity, the CTL-inactivated infection equilibrium is globally asymptotically stable; if the basic reproduction ratio for CTL immune response is greater than unity, the CTL-activated infection equilibrium is globally asymptotically stable.
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