报告题目：HIV model with cell-to-cell transmission in vectored immunoprophylaxis experiment

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 immunoprophylaxis. Particular attention is focused on the effects due to the cell-to-cell transmission and the effect of the vectored immunoprophylaxis. 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 immunoprophylaxis is the main cause of the periodic symptoms in HIV disease. That is to say, vectored immunoprophylaxis 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.

报告人： 徐衍聪 教授, 杭州师范大学

报告时间：2019年10月28日（星期一）上午10:30

报告地点：扬州大学数学科学学院56号楼206室

主办单位：扬州大学数学科学学院

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