报告题目：An age-structured-like model for non-Markovian sexually transmitted diseases on the coupled network

报 告 人：靳祯教授（山西大学）

报告时间：2019年5月11日 16:00

报告地点：数统院307学术报告厅

报告摘要：

Sexually transmitted infections (STIs) have caused significant public health burden globally. In most models of STIs spreading in networks, it is assumed that the transmission and recovery processes are Markovian processes; that is, the transmission and recovery times per event are exponentially distributed. However, both transmission and recovery times per event for many real STIs do not completely follow exponential distribution. In this talk, allowing for general transmission and recovery times distributions, we propose a general Edge-Based Age-structured-like Compartmental Model for STIs in a coupled configuration network. We consider sexual transmissions between men with also heterosexual contacts. The obtained system is a coupled system of ODE and PDE. We study the existence and non-negativity of solutions, the epidemic threshold R0, the global stability of disease-free equilibrium with R0 < 1 and the final epidemic size. Our results provide excellent guidance to develop appropriate prevention and control strategies.

报告人简介：

靳祯，山西大学二级教授。现任山西省数学会理事长，中国生物数学学会副理事长，中国数学会理事，SCI源刊Plos One、International J. Biomathematics等编委，美国《Mathematical Reviews》评论员，德国《数学文摘》评论员。曾获教育部新世纪优秀人才、山西省教学名师、全国优秀教师等荣誉，享受国务院政府特殊津贴。目前是山西省科技创新团队带头人，山西省“疾病防控的数学技术与大数据分析”重点实验室主任。多次参加国家自然科学奖、国家重点研发项目及国家基金数理学部项目的会评。主要从事生物数学及复杂网络研究工作，先后主持国家自然基金数理学部、信息学部项目共6项，其中国家基金重点项目1项。作为第一完成人2010年获得山西省科学技术奖（自然科学类）一等奖、2014年获得教育部高等学校优秀成果二等奖（自然科学类）。