Global Dynamics of a Fractional Order HIV Model with Both Virus-to-Cell and Cell-to-Cell Transmissions and Therapy Effect
نویسندگان
چکیده
A fractional order HIV model with both virus-tocell and cell-to-cell transmissions and therapy effect is investigated. The conditions for the existence of the equilibria are determined. Local stability analysis of the HIV model is studied by using the fractional Routh-Hurwitz stability conditions. We have generalized the integer LaSalle’s invariant theorem into fractional system and given some sufficient conditions for the disease-free equilibrium and endemic equilibrium being globally asymptotical stability. We applied an efficient numerical method based on converting the fractional derivative to integer derivative to solve the HIV model. Some numerical examples are provided to illustrate our results. The fractional derivatives are described in the Caputo sense.
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