应数学学院杨畅博士的邀请，法国里昻第一大学Leon Matar Tine副教授将于4月9日至25日访问数学学院并做系列讲座，欢迎老师和同学与其讨论交流。Tine副教授从事生物数学的研究工作，特别是在流行病的治疗研究中做出了诸多贡献，其主要成果发表在Journal of Mathematical Biology，DCDS-B等国际期刊上。

本次Tine副教授将带来三场系列讲座，汇报在流行病的治疗研究中的最新进展，包括模型的建立、解的适定性等。欢迎各位老师及同学参加。

报告一：

主题：some basic tools for the analysis of differential equation

时间：2019年4月17日9：00--10：30

地点：格物楼503室

摘要：In this first course, we will revised some basic tools related to the analysis of differential equations. Lot of models arising in 

chemistry or in population dynamics (like epidemiology) are based on this kind of equations. So, along this first course we revise:

lWhat is called a solution for a differential equation

lNecessary conditions for the existence of solution 

lWhat about uniqueness the solution: Cachy-Lipschitz theorem （we will recall the Gronwall lemma and its proof）

lWhat about global solution for a differential equation

lStability analysis of Cauchy problem

报告二：

主题：General introduction et review of the genesis of epidemiology modeling

时间：2019年4月17日10：30--12：00

地点：格物楼503室

摘要：In this part we will :

lintroduce the mathematical modeling in epidemiology

lmake a general review of the existing models and their evolution towards realistic model for epidemiology

llearn how to construct a compartment model 

linvestigate the basic properties of common models as SI, SIR, SEIR etc..

报告三：

主题：Mathematical analysis for an epidemiology model

时间：2019年4月17日13：30--15：00

地点：格物楼503室

摘要：In this part of the course we intent to:

lpresent the mathematical approach to define the Basic Reproduction Number for a general epidemiological model

lanalyse the existence of healthy equilibrium state for the disease. Likewise we will analyse existence of epidemic equilibrium state.  

lgive some application by studying some models like predator prey type model etc.

lshow how to take into account the space for an epidemiology model