报告题目：Mathematical Modeling and Research for Schistosomiasis with Seasonal Influence

报告人：张太雷 教授（长安大学）
报告时间：2020年11月25日上午 9:00-10:00

报告地点：复杂系统研究所报告厅

报告摘要：In this talk, we investigate a time-delayed differential model of the transmission dynamics of Schistosomiasiswith seasonality. In order to study the influence of water temperature on egg hatching into miracidia and the development from miracidiato cercariae, we incorporate time-dependent delays into the model to describe the maturation period and extrinsic incubation period (EIP). We first introduce the basic reproduction number R_0 for this model and establish a threshold type result on its global dynamics in terms of R_0. More precisely, we show that the disease is uniformly persistent when R_0>1, while the disease-free periodic solution is globally attractive when R_0<1. Then we choose parameters to fit the Schistosomiasis epidemic data in Hubei province of China. Our numerical simulation indicates that the Schistosomiasis will continue to prevail in the near future unless more effective control measures are taken. Further sensitive analysis demonstrates that the parameters with a strong impact on the outcome are baseline transmission rate, recovery rate, Schistosomiasis eggs output rate, contact rate between miracidia and snails and cercariae output rate.

报告人简介：张太雷，长安大学理学院教授、硕士生导师。主要研究领域有：从事常微分方程理论研究及其应用, 生物数学, 种群动力学, 传染病动力学的数学建模与研究等研究方向。2002年新疆大学数学学院应用数学专业学士毕业，2008年新疆大学应用数学专业博士毕业，2008年9月至2011年5月，在西安交通大学数学博士后流动站作博士后研究并获评2010-2011优秀博士后研究人员。现任陕西省数学会理事、陕西省工业与应用数学学会理事，美国《数学评论》杂志评论员。

张太雷教授做精彩报告