报告题目1：Qualitative properties of zero-current ionic flows through membrane channels via Poisson-Nernst-Planck models with multiple cations

报告人：张明吉教授，美国新墨西哥矿业理工学院

报告时间：2025年6月6日（周五）8:30-9:30

报告地点：20-200

报告摘要：We focus on the qualitative properties of zero-current ionic flow via a classical Poisson-Nernst-Planck system with two cations and one anion. The existence and uniqueness result is established in the framework of geometric singular perturbation theory, from which explicit approximations of individual fluxes are derived.  This is critical for one to further study the internal dynamics of the zero-current ionic flows through membrane channels, which cannot be detected via current technologies. Nonlinear interactions among different system parameters are characterized, which provides deep insights into the mechanism of ionic flows through membrane channels. Meanwhile, it also provides efficient ways to adjust/control boundary conditions to observe distinct dynamics of ionic flows. 

报告人简介：张明吉，美国新墨西哥矿业理工学院数学系教授。2013年毕业于美国堪萨斯大学，获理学博士学位；2013至2015年跟随Peter Bates教授在密歇根州立大学做博士后研究，研究领域是非线性动力系统、微分方程及其应用。目前研究主要侧重于(1)几何奇异摄动理论及其应用，特别是在离子通道问题和发展生物学中的应用；(2)非线性偏微分方程的随机动力学研究。在J. Differential Equations、J. Dynamics and differential Equations、Nonlinearity、J. Nonlinear Science、SIAM J. Applied Mathematics、SIAM J. Applied Dynamical Systems等杂志发表相关学术论文近50篇。担任SIAM系列，DCDS系列等50余个国际SCI杂志的特约审稿⼈，美国《数学评论》评论员，德国《数学文摘》评论员。

报告题目2：The risk of Chikungunya endemic in Ontario, Canada

报告人：宋海涛教授，山西大学

报告时间：2025年6月6日（周五）9:30-10:30

报告地点：20-200

报告摘要：Chikungunya is a mosquito-borne disease that is transmitted by Aedes mosquitoes. In 2013, Chikungunya spread across Central and South America as well as the Caribbean. As the climate changes, a northward migration seems likely. Adult Aedes aegypti and Aedes albopictus mosquitoes were captured in Windsor, Ontario, in the summers of 2016 and 2017, which suggests that the Aedes mosquito species may become established in Canada as the climate warms. To assess the risk of Chikungunya endemic in Canada, we developed a mathematical model that incorporates maturation delay for mosquito reproduction as well as extrinsic and intrinsic incubation delays due to the impact of temperature conditions. The basic reproduction number was computed to evaluate the effect of temperature on the risk of Chikungunya virus transmission in Canada. The dynamical analysis shows that maturation delay may destabilize the infected steady state through a Hopf bifurcation. However, extrinsic incubation delay and intrinsic incubation delay do not affect the stability of the infected steady state but rather alter the peaking time and number of infected humans. The temperature-derived risk classes for Chikungunya virus transmission in Canada were created based on the effect of temperature on the maturation period and extrinsic incubation period. Using our model and basic reproduction number, we generated a risk map of Chikungunya spread concerning the increase in temperature showing that the risk of the virus may be more acute in the areas further north and west of Ontario.  

报告人简介：宋海涛，山西大学复杂系统研究所，教授，博士生导师，加拿大约克大学博士后，美国数学会《数学评论》评论员，中国数学会生物数学专业委员会青年工作委员会委员。主要研究领域为生物数学、微分方程和动力系统。本硕博就读于哈尔滨工业大学，于2015年获得数学博士学位，并于2016-2018年在加拿大约克大学做博士后研究（合作导师是朱怀平教授）。在微分方程相关领域发表学术论文20余篇，主持或完成2项国家自然科学基金和7项省部级项目，参与国家自然科学基金重点项目1项。以第一完成人获得山西省科学技术奖（自然科学奖）二等奖1项，获得山西省高等学校优秀青年学术带头人，三晋英才-青年优秀人才，山西大学青年五四奖章等。

邀请人：陈佳宁