应学院邀请,澳大利亚科学院院士Yihong Du教授将来bat365官网作学术报告。
报告题目:Rate of accelerated expansion of the epidemic region in a nonlocal epidemic model with free boundaries
报告摘要:I will discuss the long-time dynamics of an epidemic model whose diffusion and reaction terms involve nonlocal effects described by suitable convolution operators, and the epidemic region is represented by an evolving interval enclosed by the free boundaries in the model. In particular, we will show how a threshold condition determines the onset of accelerated spreading, and for some typical classes of kernel functions, we determine the precise rate of accelerated expansion of the epidemic region by constructing delicate upper and lower solutions. The talk is based on joint work with Dr Wenjie Ni and Dr Rong Wang.
报告时间:2023年10月11日10:30
报告地点:致勤楼(教学9号楼) C区101学术报告厅
邀 请 人:赵孟 副教授
届时欢迎广大师生参与交流!
报告人简介
Yihong Du教授,澳大利亚科学院院士,1988年获得博士学位,1991年至今在澳大利亚新英格兰大学工作,现为该校数学系教授。Yihong Du教授是非线性泛函分析、偏微分方程及其应用等领域的国际知名专家,是使用非线性自由边界问题对扩散现象进行建模的先驱,解决了长期存在的尖锐阈值,边界爆破,分岔和多解个数问题。在Arch. Rational Mech. Anal., SIAM J. Math. Anal., J. Funct. Anal., J. European Math. Soc., Trans. Amer. Math. Soc., J. Differ. Equations, Calc. Var. Partial Differ. Equ., J. Math. Pures Appl. 等国际知名期刊上发表论文170余篇(被引5300余次),并出版专著1部。自2003年持续获得澳大利亚国家自然科学基金的资助。目前,担任多个国际期刊杂志的编委。
甘肃省数学与统计学基础学科研究中心
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