报告人：韩晓莹
报告地点：数学与统计学院617报告厅
报告时间：2018年07月14日星期六09:10-09:50
邀请人：
报告摘要：
A mathematical model for Zika virus dynamics under randomly varying environmental conditions is developed, in which the birth and loss rates for mosquitoes, and environmental influence are modeled as random processes. The resulting system of random ordinary differential equations are studied by the theory of random dynamical systems and dynamical analysis. First the existence, uniqueness, positiveness and boundedness of solutions are discussed. Then the long term dynamics in terms of existence and geometric structures of random attractors and forward omega limit sets are investigated. Moreover, sufficient conditions under which the prevalence of Zika virus among human beings decreases monotonically to zero, as well as conditions under which an epidemic occurs are established.
主讲人简介：
Dr. Xiaoying Han is Marguerite Scharnagle Endowed Professor in the Department of Mathematics and Statistics at Auburn University, USA. She obtained her PhD in Applied Mathematics in 2007 from the State University of New York at Buffalo. Dr. Han’s research interests lie in analysis and simulation of stochastic/random/nonautonomous differential equations and their applications. She co-authored the monographs ``Random Ordinary Differential Equations and their Numerical Solutions” published by Springer Nature, “Applied Nonautonomous and Random Dynamical Systems” and “Attractors under Discretisation” published by BCAM SpringerBriefs, Springer.
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