应苏颖副教授的邀请，华中师范大学黄继才教授和西班牙马德里自治大学Andrea Tellini博士来数学系做学术演讲。

演讲1.

报告人：黄继才教授华中师范大学

时间：2018年7月18日下午14:30-15:30

地点：格物楼503

题目：Multiple bifurcations in a  predator-prey system with constant-yield prey harvesting

摘要：The bifurcation analysis of a predator–prey system of Holling and Leslie type with constant-yield prey harvesting is carried out in this talk. It is shown that the model has a Bogdanov–Takens singularity (cusp case) of codimension at least 4 for some parameter values. Various kinds of bifurcations, such as saddle-node bifurcation, Hopf bifurcation, repelling and attracting Bogdanov–Takens bifurcations of codimensions 2 and 3, are also shown in the model as parameters vary. Hence, there are different parameter values for which the model has a limit cycle, a homoclinic loop, two limit cycles, or a limit cycle coexisting with a homoclinic loop. These results present far richer dynamics compared to the model with no harvesting. Numerical simulations are also given to support the theoretical analysis.

黄继才教授简介：1999年本科毕业于华中师范大学数学系，2002年6月获得华中师范大学硕士学位，2005年6月获得中国科学院数学与系统科学研究院数学所博士学位。现为华中师范大学教授、博士生导师。黄继才教授主要从事常微分方程定性理论、分支理论及其应用研究。先后在 JDE、SIAP、DCDS-B、JMAA 等期刊发表学术论文二十多篇，主持国家自然科学基金3项。

演讲2.

报告人：Andrea Tellini博士

时间：2018年7月18日下午15:40-16:40

地点：格物楼503

题目：Road-field systems in domains with bounded section

摘要：Road-field models have been introduced by H. Berestycki, J.-M.   Roquejoffre and L. Rossi in order to study the effect that heterogeneities have on the propagation for a reaction-diffusion system in which one density lives in a half-plane and the other one at the boundary of such a domain. In this talk I will present results for similar systems posed in a strip and on its boundary, thus for domains having a bounded transversal section. I will show the differences that arise, both for the results on propagation and from the technical point of view. This is a partially joint work with L. Rossi (EHESS, Paris) and E. Valdinoci (University of Milan, Italy).

Andrea Tellini博士网页：http://andreatellini.weebly.com