报告题目：HIV model with cell-to-cell interaction and vectored
报 告 人：徐衍聪教授（杭州师范大学）
报告摘要：In this paper, we consider local and global bifurcations in a HIV model with both cell-to-cell interaction and vectored immunoprohylasis. Particular attention is focused on the effects due to the cell-to-cell transmission and the effect of the vectored immunoprohylasis. The backward bifurcation, Hopf bifurcation, Bogdanov-Takens bifurcation, isola bifurcation are investigated by using bifurcation theory and numerical simulations. It is shown that the effect of vectored immunoprohylasis is the main cause of the periodic symptoms in HIV disease. That is to say, vected immunoprohylasis is not always do benefit to the treatment of HIV, it may make the disease more complicated. Moreover, it is also shown that the increase of cell-to-cell interaction may be the main factor causing Hopf bifurcation to disappear, and thus eliminating oscillation behaviour. Also, different patterns of dynamical behaviors are found including the bistable phenomenon.