报告题目：Modeling and Dynamics of Disease Spreading on Complex Networks
报告人：黄刚
报告时间：2022年7月12日14：00-15：40
报告地点：数学与统计学院3304教室
报告摘要：Most diseases have multiple pathogenic strains, which may impose difficulty in combatting the disease and lead to rich dynamics. However, their dynamical properties are not well understood. For this purpose, we formulate and analyze a two-strain SIS epidemic model with a competing mechanism and general infection force on complex networks. We derive the basic reproduction number and introduce the invasion reproduction numbers for each strain. We demonstrate that if R_0<1, the disease-free equilibrium is globally asymptotically stable, ie, the disease will die out. If R_0>1, the conditions of the existence and global asymptotical stability of dominant equilibria are further studied. The persistence of the system is also addressed. Numerical simulations are given to illustrate the theoretical results.
报告人简介：黄刚，中国地质大学（武汉）数学与物理学院教授、博士生导师。先后于中国地质大学，北京科技大学，日本国立静冈大学获得学士、硕士和博士学位。现任中国地质大学（武汉）数学与物理学院副院长、中国生物数学学会理事，湖北省数学会理事。入选湖北省楚天学者计划，中国地质大学摇篮计划。其主要从事稳定性理论，时滞微分方程理论及其在种群动力学和传染病动力学中的应用研究。主持和参与国家自然科学基金项目四项，主持省部级教学科研项目两项，出版学术专著三部，在JMB，BMB，SIAM，JTB， JNS等知名期刊发表SCI论文40余篇，论文总被引用2000余次。
邀请人：王连文
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