题目一：The boundary value problems for some discrete systems
内容简介：In this talk, I will introduce some results on the positive solutions for some discrete two point nonlinear boundary value problems with the mean curvature operator by using critical point theory. First, some sufficient conditions on the existence of infinitely many positive solutions are given. We show that, the suitable oscillating behavior of the nonlinear term near at the origin and at infinity will lead to the existence of a sequence of pairwise distinct nontrivial positive solutions. Then, the existence of at least two positive solutions is established when the nonlinear term is not oscillatory both at the origin and at infinity. Examples are also given to illustrate our main results. We also discuss the existence of nontrivial solutions to the boundary value problems for a coupled system of second-order nonlinear difference equations at last.
报告人：广州大学 周展 教授
报告人简介：二级教授、博士生导师，教育部“长江学者和创新团队发展计划”创新团队带头人，享受国务院政府特殊津贴专家，广州市“优秀专家”，中国数学会理事。现任广州大学应用数学研究中心执行主任，数学与信息科学学院副院长。先后主持长江学者和创新团队发展计划2项、国家自然科学基金6项、高等学校博士点基金2项及教育部优秀青年教师资助计划等科研项目多项。作为负责人，获广州市首批建设科研创新学术团队。
题目二：Wolbachia in the wild mosquito population: The effects of wind and critical patch size
内容简介：Releasing mosquitoes with Wolbachia into the wild mosquito population is becoming the very promising strategy to control mosquito-borne infections. To investigate the effects of wind and critical patch size on the Wolbachia establishment in the wild mosquito population, in this paper, we propose a diffusion reaction advection system in a heterogeneous environment. By studying the related eigenvalue problems, we derive various conditions under which Wolbachia can fully establish in the entire wild mosquito population. Our findings may provide some useful insights on designing practical releasing strategies to control the mosquito population.
报告人：广州大学 郭志明 教授
报告人简介：博士生导师，第十一届广东省人大代表，多年来一直从事离散系统、泛函微分方程及生物数学模型的理论与应用研究，在《J.Differential Equations》、《Journal of London Mathematical Society》、《Journal of Dynamics and Differential Equations》、《中国科学》等国际国内重要刊物上发表论文50多篇，其中SCI收录30多篇。先后主持国家自然科学基金3项、参加国家自然科学基金重点项目1项、主持广东省、湖南省自然科学基金各1项。作为主要骨干，参加了国家重大基础研究前期研究专项、国家自然科学基金、教育部高校博士点基金等多项科研项目。
时 间：2019年12月11日（周三）下午3：00始
地 点：南海楼224室
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信息科学技术学院
2019年12月6日