The Stability of Virus Dynamics Model with Beddington-DeAngelis Functional Response and Distributed Time Delay

A class of virus dynamics model with Beddington-DeAngelis functional response and distributed delay is established on the basis of the common virus time delay model to describe the phenomenon of virus infection in cells more accurately. Firstly, the positivity and boundedness of the solution of the model are discussed, and the basic reproduction number R₀ of the model is obtained. Then, the local and global stability of the infection-free equilibrium of the model are proved. Further, numerical simulations are demonstrated to verify the theoretical results.