题目：A two-strain reaction-diffusion malaria model with seasonality andvector-bias
时间：2022年12月23日，8:20am（周五）
地点：腾讯会议（759-517-0738），密码：654321
主讲人: 白振国副教授（西安电子科技大学数学与统计学院）
摘要：To investigate the combined effects of drug resistance, seasonality and vector-bias, we formulate a periodic two-strain reaction-diffusion model. It is a competitive system for sensitive and resistant strains, but the single-strain subsystem is cooperative. We derive the basic reproduction number R_i and the invasion reproduction number \hat{R}_i for strain i=1,2, and establish the transmission dynamics in terms of these four quantities. More precisely, (i) if R_1<=1 and R_2<= 1, then the disease is extinct; (ii) if R_1>1>=R_2 (R_2>1>=R_1), then the sensitive (resistant) strains are persistent, while the resistant (sensitive) strains die out; (iii) if \hat{R}_1>1 and \hat{R}_2>1, then two strains are coexistent and periodic oscillation phenomenon is observed. We also study the asymptotic behavior of the basic reproduction number R_0 = max{R_1，R_2} for our model regarding small and large diffusion coefficients. Numerically, we demonstrate the outcome of competition for two strains in different cases
主讲人简介：白振国，副教授，博士生导师，2011年在西安交通大学获得博士学位，2016年至2017年在加拿大纽芬兰纪念大学做访问学者。研究方向为生物数学、传染病动力学和应用动力系统，已在《SIAM J. Appl. Math.》、《J. Nonlinear Sci.》、《J. Math. Biol.》、《Math. Biosci.》、《J. Theoret. Biol.》等杂志发表学术论文30余篇。获2022陕西省科学技术奖二等奖（排名：2/4)。目前主持国家自然科学基金面上项目和中央高校基本科研业务费项目各一项。
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