讲座题目1：Modeling and Analysis of Interactive Wild and Sterile Mosquitoes with Periodic and impulsive releases
讲座时间：8:00--9:30
讲座人：Jia Li 教授
讲座内容简介：
In this talk, we first give a brief review of the mathematical modeling of interactive homogeneous wild and sterile mosquito populations. Based on the innovative idea and methods introduced by Professor Jianshe Yu in 2018, we formulate new models where only those sexually active sterile mosquitoes are included for the interactive dynamics. The mathematical description of the sterile mosquitoes becomes a nonnegative function given in advance instead of an independent variable, the dimension of the model system is reduced, and the analysis is mathematically more attractable. We then study the model dynamics for the case where the releases of sterile mosquitoes are periodic and impulsive. In particular, with the waiting period between two consecutive releases greater than the sexual lifespan of the sterile mosquitoes, we establish thresholds and obtain sufficient and necessary conditions for the existence and uniqueness of a globally asymptotically stable periodic solution. We also present numerical examples to demonstrate the results. This talk is based on the joint work with Professor Jianshe Yu.
讲座人简介：
Jia Li教授，1987年于美国田纳西大学获博士学位，2000年任美国阿拉巴马大学汉斯维尔校区数学系教授。主要研究领域：动力系统，微分方程，差分方程，种群动力学，传染病动力学，数学生态学，环境数学建模与分析等，在SCI源期刊发表论文80余篇，获得多项美国国家科学基金项目，组织和参与多次有关生物数学方面的国际学术会议，具有较高的国际影响力。任Mathematical Biology and Engineering、Journal of Biological Dynamics、Annuals of Differential Equations、Journal of Mathematics and Computer Science等SCI期刊副主编，是国际生物数学领域有重要影响的专家。
讲座题目2：Multitype bistability and long transients in a delayed spruce budworm population model
讲座时间：9:30--11:00
讲座人：Lin Wang 教授
讲座内容简介：
In this talk, I will talk about a budworm model. By carefully dealing with the major difficulty caused jointly by the time delay and the nonlinearity, we give a rather complete stability analysis for the model, including global asymptotic stability, bistability, semi-stability and Hopf bifurcation. Moreover, we show that the time delay can induce interesting dynamics including multitype bistability and long transients.
讲座人简介：
Lin Wang教授于2003年在加拿大纽芬兰大学数学系获博士学位；2003-2007年先后在加拿大McMaster大学、British Columbia大学、Victoria大学从事博士后研究工作，自2007年至今在加拿大New Brunswick大学工作，现任New Brunswick大学教授。主要研究领域包括微分方程、动力系统以及在生物学、生态学、流行病学、神经科学等领域的应用。Lin Wang教授在JMPA, SIAM J. Appl. Math.、JDE、JMB、JTB、Mathematical Biosciences等国际应用数学以及微分方程、生物数学领域top期刊上发表学术论文80余篇。主持5余项加拿大国家自然科学与工程理事会科研基金项目。
讲座题目3：Predator-prey models for pest management
讲座时间：11:00--12:30
讲座人：Yuming Chen教授
讲座内容简介：
Controlling insects and minimizing losses resulting from insect infestations are very important issues in agricultural entomology. Predator-prey models are used by many researchers to study the e_ect of pest control. In this talk, I introduce three of our works in this aspect. The _rst work is on biological control, where the release of natural enemies depends on the abundance of pest. The other two are about integrated pest management. In the _rst model, we consider the process of periodically releasing natural enemies and spraying pesticides at di_erent _xed times. In the latter one, two threshold values are involved. One is for the pest. If the pest population is below this threshold value then no action is taken. When the pest population exceeds this threshold value, if the natural enemy population is below its threshold value then natural enemies are released and pesticide is applied otherwise only pesticide is applied.
讲座人简介：
Yuming Chen教授，分别于1991年和1994年从北京大学获应用数学学士学位和硕士学位，并于2000年从加拿大约克大学（York University）获理学博士学位。从2001年至今，一直任教于加拿大罗瑞尔大学(Wilfrid Laurier University)。现为该校数学系教授、博士生导师。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用。已在包括 SIAM Journal on Mathematical Analysis, Transactions on the American Mathematical Society, Nonlinearity, Journal of Differential Equations, Physica D, Proceedings of the American Mathematical Society, Mathematical Biosciences, Neural Networks等国际著名刊物发表论文百余篇，曾获安大略省科技与创新部早期研究者奖。主持了4项加拿大国家自然科学与工程理事会(NSERC)科研基金项目。