A Viral Infection Model with Lytic Immune Response and Periodic Medication Strategy

摘要

In this paper, a viral infection SVI model with lytic immune response is studied. What's more, in order to control the quantity of the virus population, periodic medication strategy is introduced to the classical SVI model. By some mathematical analysis techniques, an important threshold R_0 is found for the system. It is proved that the virus-free periodic solution (VFPS for short) is globally attractive if R_0＜1, while the virus will be permanent if R_0＞1. Finally, numerical simulation examples and discussions are presented to support our theoretical results.