Abstract
This article introduces a delayed HIV model arising out of incorporating the intracellular delay. It has been assumed that intracellular delay \(\tau \) is constant and some of the infected T cell actually dies out due to infection and only a portion of infected T cell which remain alive a time lag of \(\tau \) after infection will produce newly HIV particles. The mathematical analysis on the present model suggests that infection free equilibrium is still always possible. The endemic equilibrium point exists if number of virus particle produced is greater than \(e^{\delta _2 \tau }\) and \(\delta _3 < {\overline{\delta _3}}\), where \(\delta _2\) and \(\delta _3\) are the mortality rate of infected T cell and virus respectively. The local stability analysis and Hopf Bifurcation analysis have been carried out on the proposed model and same supported by numerical simulation. The proposed model exhibit some interesting dynamical behaviour of the HIV infection.
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Sahani, S.K. A Delayed Model for HIV Infection Incorporating Intracellular Delay. Int. J. Appl. Comput. Math 3, 2303–2322 (2017). https://doi.org/10.1007/s40819-016-0190-7
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DOI: https://doi.org/10.1007/s40819-016-0190-7