报告题目1：Volume growth and entropy

报告人：臧运涛，苏州大学

报告时间：2024年3月19日（周二）9:30-10:30

报告地点：腾讯会议：104 537 189

报告摘要：For partially hyperbolic systems or non-uniformly hyperbolic systems, we consider the relations between the entropies and the Lyapunov exponents, volume growth of the sub-manifolds or volume growth of the tangent bundle.

报告人简介：臧运涛2020年博士毕业于苏州大学和法国巴黎萨克雷大学，研究领域主要为微分动力系统遍历理论。论文发表在ETDS, Israel J. Math., Nonlinearity等期刊，并获得国家青年基金资助。

报告题目2：Travelling waves in diffusive Leslie-Gower prey-predator model

报告人：吴潇，东华大学

报告时间：2024年3月19日（周二）10:30-11:30

报告地点：腾讯会议：104 537 189

报告摘要：We study a diffusive Leslie-Gower prey-predator model when the diffusion rate of prey is much smaller than that of predator. We prove the existence of travelling waves in diffusive Leslie-Gower prey-predator model, which are captured as Multi-scale singularly perturbed system. We are focus on the existence of travelling waves in singular limit systems. We use the dynamical system theories such as geometric singular perturbation theory to obtain the persistence of travelling waves. The main challenge is how to deal with the double small parameters in system. Finally, numerical examples are given to support our theoretical results.

报告人简介：吴潇主要从事常微分方程与动力系统、奇摄动理论及方法的研究，目前工作主要考虑奇摄动反应扩散方程的研究及其在生态系统模型和传染病建模中的应用、运用几何奇摄动方法研究不连续动力系统以及其在生态系统中的应用、微分系统参数分支的研究及其应用。