مشخصات پژوهش

Infectious diseases pose a significant threat to global health, and mathematical modeling can be highly useful for understanding their transmission dynamics. Fractional differential equations have emerged as a powerful tool for modeling complex systems with memory and long-term interactions. In this paper, we provide a mathematical model of generalized viral infection with cure rate via FDEs. The basic reproduction number will be obtained and positivity and uniformly boundedness of solutions will be controlled. Three equilibrium points: infection-free equilibrium, immune-free equilibrium and chronic equilibrium, will also be calculated. It will be shown that the infection-free equilibrium is globally asymptotically stable if the reproduction number is less than one and if it is more than one, within certain conditions on humoral immune response reproduction rate, then the immune-free and the chronic equilibria are globally asymptotically stable. Finally, numerical simulations will be presented to establish the analytical calculations.