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讲准字279号:Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment

发布时间:2019-10-10|浏览次数:

讲座报告主题:Qualitative analysis on a diffusive SIS epidemic system with logistic source and spontaneous infection in a heterogeneous environment
专家姓名:崔仁浩
日期:2019-10-17 时间:10:50
地点:理学院206
主办单位:理学院  

主讲概况:崔仁浩,哈尔滨师范大学数学科学学院教授。主要从事非线性分析、偏微分方程及其应用方向的研究,在空间异性中反应扩散系统的动力学行为方面的研究取得了一定的进展,在国际著名学术期刊J. Differential Equations等学术刊物上发表论文多篇;主持完成国家自然科学基金青年项目、全国博士后基金及黑龙江省自然科学基金等项目;作为主要完成人获得黑龙江省科学技术(自然科学)二等奖一项。2018年获黑龙江省数学会第二届优秀青年学术奖。研究专长:非线性分析与偏微分方程。

主讲内容:We are concerned with an SIS epidemic reaction-diffusion model with spontaneous infection and logistic source in a heterogeneous environment. The uniform bounds of solutions are established, and the global asymptotic stability of the constant endemic equilibrium is discussed in the case of homogeneous environment. This paper aims to analyze the asymptotic profile of endemic equilibria (when it exists) as the diffusion rate of the susceptible or infected population is small or large. Our results on this new model reveal that varying total population and spontaneous infection can enhance persistence of infectious disease, which may provide some implications on disease control and prediction.


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