Hopf Bifurcation In A Viral Model With Time Delay

In recent years, people start to pay more attention to the immunity response between lymphocytic choriomeningitis virus and antiviral cytotoxic T lymphocyte. Based on the relative experimental results, some experts have established the mathematical model of this immunity response [17][10][58]and they have gained the best fit solution and span of all the parameters in using the high performance computing method for numerical value.The present study analyzes in theory for the model of lymphocytic choriomeningitis virus at low level persistence and antiviral cytotoxic T lymphocyte and proves the impossibility of the complete delay stability for this model, which is made through brief and practical algebraic criteria. Furthermore, the present study gives out the conditions for the existence of Hopf bifurcation.