报告题目：Dynamics of a linear source epidemic system with diffusion and media impact

报告摘要：This paper focuses on the epidemic model with diffusion and media influence, where diffusion influence is more in line with real-life situations, as the transmission of susceptible individuals or infected individuals is not only temporal but also spatial. Therefore, this paper discusses the cases where the diffusion rate approaches 0 and infinity and provides the regional situation of disease transmission for individuals, which has practical guidance significance. In addition, considering the model with media coverage, and we have also conducted numerical simulations by providing different rates of media coverage. From Fig.1 and Fig.2 or Fig.3 and Fig.4, we know that the greater the media coverage rate a(x), the faster the rate of decline of susceptible individuals, which means the smaller the spread of diseases. Because the most public opinion will attract the attention of leaders during the spread process, many regions will implement measures such as isolating infected individuals in certain ways to control the spread of the disease.

报告人简介：李文杰，副教授，硕士生导师。博士毕业于湖南大学数学学院，东南大学博士后，University of Technology Sydney和广州大学应用数学研究中心访问学者。主要研究领域为微分方程与泛函微分方程以及生物数学模型的理论与应用等领域的科学研究，在《Proc. Amer.Math. Soc.》,《Zeitschrift für angewandte Mathematik und Physik.》《Nonlinear Analysis: Hybrid Systems》《Journal of the Franklin Institute》《Discrete Contin. Dyn. Syst. Ser. B》 《Applied Mathematics Letters》，《Nonlinear Dyn.》 ， 《Appl.Math.Model.》,《Math. Comput. Simulation》 学术期刊上发表论文30余篇，先后主持国家基金2项，博士后面上1项。省级面上项目2项。

报告时间：2024年12月20日 9:00-10:00

报告地点：同析4号楼403室