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发布人:曹美玲  发布时间:2020-11-03   浏览次数:10


报告题目:Wave propagation and its stability for a class of discrete diffusion systems


报告平台:腾讯会议会议 ID291 802 307


报告内容:This report is devoted to investigating the wave propagation and its stability for a class of two-component discrete diffusive systems.We first establish the existence of positive monotone monostable traveling wave fronts. Then, applying the techniques of weighted energy method and the comparison principle, we show that all solutions of the Cauchy problem for the discrete diffusive systems converge exponentially to the traveling wave fronts when the initial perturbations around the wave fronts lie in a suitable weighted Sobolev space. Our main results can be extended to more general discrete diffusive systems. We also apply them to the discrete epidemic model with the Holling-II type and Richer type effects. This talk is based on a joint work with Professor Cheng-Hsiung Hsu (Z. Ang. Math. Phy. 2020).


余志先上海师范大学副教授,博士毕业于北京师范大学,师从于袁荣教授。曾访问法国波尔多第二大学Pierre Magal教授、加拿大纽芬兰纪念大学赵晓强教授、加拿大麦吉尔大学梅茗教授。一直从事非线性系统的空间传播动力学及应用的研究;特别地,在无穷维细胞神经网络系统、具有种群增长积分差分系统、时滞反应扩散系统等行波解问题、渐近传播理论及整体解的研究领域取得一系列重要成果。已在《Nonlinearity》、《J. Differential Equations》、《European J. Appl. Math.》、《Z. Ang. Math. Phy.》、《Discrete Contin. Dyn. Syst. A》、《Proc. Amer. Math. Soc.》等重要期刊上被SCI收录40余篇先后主持了国家自然基金面上项目、国家自然基金青年项目、上海市自然基金面上项目、上海市创新项目等项目