題目：A two-strain reaction-diffusion malaria model with seasonality andvector-bias
時間📡：2022年12月23日，8:20am（周五）
地點🏌🏽♂️：騰訊會議（759-517-0738），密碼：654321
主講人: 白振國副教授（西安電子科技大學數學與統計EON4）
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
主講人簡介🪙：白振國，副教授🥝，博士生導師🤎🥓，2011年在西安交通大學獲得博士學位🧑🏽🔬，2016年至2017年在加拿大紐芬蘭紀念大學做訪問學者👫。研究方向為生物數學、傳染病動力學和應用動力系統☛，已在《SIAM J. Appl. Math.》、《J. Nonlinear Sci.》、《J. Math. Biol.》、《Math. Biosci.》、《J. Theoret. Biol.》等雜誌發表學術論文30余篇。獲2022陜西省科學技術獎二等獎（排名：2/4)🤾🏻♀️。目前主持國家自然科學基金面上項目和中央高校基本科研業務費項目各一項🗽。
歡迎廣大師生參加🏃🏻♂️➡️！