讲座内容简介：To study the dynamics of interactive wild and sterile mosquitoes and their impacts on the transmissions of mosquito-borne diseases, mathematical models have been formulated and investigated. In this talk, we present several discrete-time models based on systems of difference equations. The survival functions are assumed to be of either Ricker-type or Beverton-Holt-type nonlinearity. We particularly introduce homogeneous and stage-structured models with time steps in more general settings such that survivals are included at each time step. We study the interactive dynamics of wild and sterile mosquitoes where only sexually active sterile mosquitoes are considered. We determine threshold values of releases and investigate the model dynamics for both homogeneous and stage-structured populations. We also discuss the models where sterile mosquitoes are released periodically and impulsively. This talk is based on the joint work with Professor Jianshe Yu.

讲座人简介：李佳教授，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。