应兰州大学数学与统计学院王智诚教授和张亮副教授的邀请，法国勒阿弗尔诺曼底大学Arnaud Ducrot教授将于2021年7月21日- 7月23日与我校有关师生进行在线学术研讨，其中7月22日举行线上专题学术报告。

报告题目:Spreading speeds for multidimensional reaction-diffusion systems of the prey-predator type

时 间：7月22日16:00.

地 点：Zoom会议ID：983 2172 8282

报告摘要：In this talk, we investigate spreading properties of solutions of a large class of two-component reaction–diffusion systems, including prey–predator systems as a special case. By spreading properties we mean the long time behaviour of solution fronts that start from localized (i.e. compactly supported) initial data. Though there are results in the literature on the existence of travelling waves for such systems, very little has been known—at least theoretically—about the spreading phenomena exhibited by solutions with compactly supported initial data. The main difficulty comes from the fact that the comparison principle does not hold for such systems. Furthermore, the techniques that are known for travelling waves such as fixed point theorems and phase portrait analysis do not apply to spreading fronts. In this paper, we first prove that spreading occurs with definite spreading speeds. Intriguingly, two separate fronts of different speeds may appear in one solution—one for the prey and the other for the predator—in some situations. This is based on a joint work with Profs. Thomas Giletti and Hiroshi Matano.

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Arnaud Ducrot教授简介

Arnaud Ducrot，法国勒阿弗尔诺曼底大学教授。毕业于法国里昂高师，获学士和硕士学位，并于2004年在法国里昂中央理工大学完成PhD论文答辩，获博士学位。2010年于波尔多大学获得法国国家博士。2005至2018年在法国波尔多大学任副教授。2018年9月任法国勒阿弗尔诺曼底大学教授。

Arnaud Ducrot教授的主要研究领域是微分方程和动力系统及其应用，尤其关于种群动力学以及传染病学，针对反应扩散方程，时滞微分方程及年龄结构扩散方程的空间入侵及行波解方面做了很多重要且经典的工作。迄今为止，Arnaud Ducrot教授在“Math. Ann.、Arch. Ration. Mech. Ana.、J. Math. Pures Appl.、SIAM J. Math. Anal.、SIAM J. Appl. Math.、Nonlinearity、J. Differential Equations、J. Math. Biology”等国际著名期刊上发表学术论文80余篇，受到了国内外同行的关注与多次引用，并应邀在多次重要国际会议做邀请报告。

甘肃应用数学中心

甘肃省高校应用数学与复杂系统省级重点实验室

数学与统计学院

萃英学院

2021年7月21日