Stability Of A Nonlinear Viral Infection Model With Both Virus-to-Cell And Cell-to-Cell Transmissions

HIV is a human immunodeficiency virus,is a contagious virus.HIV virus transmission is very extensive,in the previous study,taking into account the situation without time or linear incidence of HIV virus model on the work of a lot of work,but also consider the cell interference cells and virus-infected cells infection mechanism Work is rare.In this paper,we study this in depth.In this paper,we consider a viral infection model of both cell-to-cell and virus-to-cell transmission,which includes general target-cell dynamics,nonlinear incidence functions,state dependent removal functions and infinitely distributed intracellular delays.We show that the model demonstrates a global threshold dynamics,fully described by the basic reproduction number（?）₀,which is identified explicitly.If （?）₀＜1,the infection-free equilibrium is globally asymptotically stable.If （?）₀＞1,the model system is uniformly persistent,and the chronic infection equilibrium is globally asymptotically stable.Numerical simulations have been performed to verify and confirm the above analytical results.