مشخصات پژوهش

‎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 $(\mathbf{R_0})$ and the immune response reproduction number $(\mathbf{R_{CTL}})$‎. ‎We have found that if $\mathbf{R_0}<1$‎, ‎then the infection-free equilibrium is globally asymptotically stable‎. ‎For $\mathbf{R_0}>1$ and $\mathbf{R_{CTL}}<1$‎, ‎under certain conditions on incidence rate function‎, ‎immune-free equilibrium is globally asymptotically stable‎. ‎Finally‎, ‎we prove that if $\mathbf{R_0}>1$ and $\mathbf{R_{CTL}}>1$‎, ‎then under certain conditions on incidence rate function the endemic equilibrium is globally asymptotically stable‎. ‎Since the logistic growth rate for target cells and general incidence rate have been included in this manuscript‎, ‎our obtained results are the generalization of those in the previous literatues‎. ‎Moreover‎, ‎the results have been obtained with weaker assumptions in comparison with the previous ones‎. ‎Numerical simulations are presented to support and illustrate our analytical results‎.