时间:2017年11月24日(星期五)9:30-10:30
地点:旗山校区理工北楼601报告厅
主办:数学与信息学院、福建省分析数学及应用重点实验室、数学研究中心
主讲:朱怀平
专家简介:朱怀平,加拿大约克大学教授、博士生导师,并行计算与模拟实验室主任,2000年获加拿大蒙特利尔大学数学博士学位。长期从事分支理论及其应用、希尔伯特第十六问题、生物数学、气候变化的模拟和影响、以及虫媒疾病建模和防控等领域的研究工作。
报告摘要:The reason for an infectious diseases to become endemic or recurrent are two important aspects for the transmission of infectious diseases. In this talk I will investigate the underlying mechanisms to explain these two features for mosquito-borne disease. I will introduce models with impact of limited health resources by considering a nonlinear sources dependent recovery rate, and show that bifurcations and complex dynamics of such models. Then I will discuss the remaining challenges in the models for a general compartmental models for mosquito-borne diseases, including global stability and multiple-scale dynamics of the transmission.