报告题目：TRANSMISSION DYNAMICS AND OPTIMAL CONTROL OF BRUCELLOSIS IN INNER MONGOLIA OF CHINA
报告人： 范猛 教授 东北师范大学
邀请人：常永奎 教授
报告时间：2018年11月10日10:00
报告地点：信远楼II206数统院报告厅
报告人简介： 范猛，1972年8月出生于辽宁省黑山县。东北师范大学best365亚洲版登录教授、博士生导师、吉林省首批长白山学者特聘教授。现任best365亚洲版登录院长、校招生办公室主任。出版学术专著1部，联合主编国际学术会议论文集及进展特刊4部，发表SCI论文70余篇，主持省部级以上科研项目10项，其中国家自然科学基金项目5项、教育部博士点基金（博导类）1项、教育部新世纪优秀人才支持计划项目1项、教育部科学技术研究重点项目1项。连续四年入选“Elsevier中国高被引学者”。获国务院政府特殊津贴、教育部自然科学奖二等奖、第六届秦元勋数学奖、吉林省第七届青年科技奖、宝钢教育奖优秀教师奖、明德教师奖、吉林省高等教育教学成果二等奖；入选教育部新世纪优秀人才支持计划、吉林省杰出青年科学研究计划；被评为吉林省有突出贡献中青年专业技术人才、吉林省教书育人楷模、吉林省拔尖创新人才、吉林省首批学科领军教授、吉林省高级专家、吉林省高校优秀党务工作者。现任4种国际期刊及《生物数学学报》编委、中国数学会生物数学专业委员会副理事长、吉林省工业与应用数学学会副理事长、吉林省数学会秘书长、吉林省运筹学会常务理事。
报告摘要：A multigroup model is developed to characterize brucellosis transmission, to explore potential effects of key factors, and to prioritize control measures. The global threshold dynamics are completely characterized by theory of asymptotic autonomous systems and Lyapunov direct method. We then formulate a multi-objective optimization problem and, by the weighted sum method, transform it into a scalar optimization problem on minimizing the total cost for control. The existence of optimal control and its characterization are well established by Pontryagin's Maximum Principle. We further parameterize the model and compute optimal control strategy for Inner Mongolia in China. In particular, we expound the effects of sheep recruitment, vaccination of sheep, culling of infected sheep, and health education of human on the dynamics and control of brucellosis. This study indicates that current control measures in Inner Mongolia are not working well and Brucellosis will continue to increase. The main finding here supports opposing unregulated sheep breeding and suggests vaccination and health education as the preferred necessary emergency intervention control. The policymakers must take a new look at the current control strategy, and, in order to control brucellosis better in Inner Mongolia, the governments have to preemptively press ahead with more effective measures.
