Stability analysis of a virus dynamics model with general incidence rate and two delays

The aim of this work is to study the dynamical behavior of a virus dynamics model with general incidence rate and two delays. The first delay represents the time from the virus entry to the production of new viruses and the second delay corresponds to the time necessary for a newly produced virus to become infectious. Lyapunov functionals are constructed and LaSalle invariance principle for delay differential equations is used to establish the global asymptotic stability of the disease-free and the chronic infection equilibria. The results obtained show that the global dynamics are completely determined by the value of a certain threshold parameter called the basic reproduction number R0 and under some assumptions on the general incidence function. Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection. These results can be applied to a variety of possible incidence functions that could be used in virus dynamics model as well as epidemic models.