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Abstract
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It is well known that the mathematical biology and dynamical systems give very important information
for the study and research of viral infection models such as HIV, HBV, HCV, Ebola and Influenza. This
paper deals with the global dynamics of generalized virus model with logistic growth rate for target cells,
general incidence rate and cellular immunity. The results will be obtained by using Lyapunov’s second
method and LaSalle’s invariance principle. We prove the global stability of the rest points of the system
by the value of basic reproduction number and the immune response reproduction number.
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