报告题目：Modelling and Analysis of Recurrent Autoimmune Disease

报告人：徐衍聪 教授（杭州师范大学）

报告时间：2018年12月2日（星期日）上午09：00

报告地点：复杂系统研究所报告厅

报告内容简介：In this paper, we consider local and global bifurcations in two HIV models with cell-to-cell interaction. The difference between the two models lies in the inclusion or omission of the effect of involvement. Particular attention is focused on the effects due to the cell-to-cell transmission and the effect of the involvement. We investigate the local and global stability of equilibria of the two models and give a comparison. We also study Hopf bifurcation and apply normal form theory to determine the amplitudes and the periods of bifurcating limit cycles. It is shown that the effect of the involvement is the main cause of the periodic symptoms in HIV or malaria disease. 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. Finally, numerical simulations are also employed to demonstrate our theoretical results.

报告人简介：徐衍聪，杭州师范大学数学系教授，硕士生导师，华东师范大学应用数学博士，浙江大学博士后，美国（SIAM）工业与应用数学会员，美国数学评论评论员。先后访问美国布朗大学、日本京都大学、德国不莱梅大学，加拿大西安大略大学，约克大学等高校。目前主要从事动力系统分支理论、局部斑图分支及应用研究，主要包括：Dynamical Systems, Dynamics of Patterns, Nonlinear Wave, Homoclinic and Heteroclinic Phenomena。