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- W2210106664 abstract "We study the global stability of three HIV infection models with humoral immune response. We consider two types of infected cells: the first type is the short-lived infected cells and the second one is the long-lived chronically infected cells. In the three HIV infection models, we modeled the incidence rate by bilinear, saturation, and general forms. The models take into account two types of discrete-time delays to describe the time between the virus entering into an uninfected CD4 + T cell and the emission of new active viruses. The existence and stability of all equilibria are completely established by two bifurcation parameters,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. The global asymptotic stability of the steady states has been proven using Lyapunov method. In case of the general incidence rate, we have presented a set of sufficient conditions which guarantee the global stability of model. We have presented an example and performed numerical simulations to confirm our theoretical results." @default.
- W2210106664 created "2016-06-24" @default.
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- W2210106664 date "2015-01-01" @default.
- W2210106664 modified "2023-09-27" @default.
- W2210106664 title "Global Stability of Humoral Immunity HIV Infection Models with Chronically Infected Cells and Discrete Delays" @default.
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- W2210106664 doi "https://doi.org/10.1155/2015/370968" @default.
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