讲座内容简介：In thistalk,we propose a delay differential equationmodel to describe theWolbachiainfection dynamics in mosquitoes in which the key factor of cytoplasmic incompactibility(CI) is incorporated in a more natural way than those in the literature.By analyzing the dynamics of the model, we are able to obtain some informationon the impact of four important parameters: the competition capabilities of the wildmosquitoes and infected mosquitoes, the maternal transmission level and the CI level.The analytic results show that there are ranges of parameters that support competitionexclusion principle, and there are also ranges of parameters that allow co-persistencefor both wild and infected mosquitoes. These ranges account for the scenarios offailure of invasion, invasion and suppressing the wild mosquitoes, and invasion andreplacing the wild mosquitoes. We also discuss some possible future problems bothin mathematics and in modeling.

讲座人简介：苏颖，本科毕业于吉林大学，2011年于哈尔滨工业大学毕业并获得博士学位，2009-2010年作为联合培养博士生访问University of Miami，2011-2013年在University of Western Ontario进行博士后研究，现任哈尔滨工业大学数学学院副教授、博士生导师。研究领域为微分方程与动力系统。在JDE,JDDE,JMB 等杂志发表多篇论文，主持多个国家自然科学基金项目，现主持一项国家自然科学基金面上项目，曾获教育部高等学校科学研究优秀成果二等奖（第二完成人）。