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博学堂讲座预告(第371讲)

来源:浙江工业大学理学院 | 2018-10-12 | 发布:经管之家

报告题目:Transmission Dynamics and Optimal Control of Brucellosis in Inner Mongolia of China

时间1013号上午10:00—11:30

地点:B102

报告人:周林华

摘要:In this talk, 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.

个人简介:

周林华,理学博士,长春理工大学副教授,应用数学系主任,省级数学实验教学示范中心主任,吉林省运筹学会理事。主要从事微分方程与动力系统、传染病动力学、种群动力学、生物信息识别等数学理论及其应用研究。主持国家自然科学基金,吉林省自然科学基金多项,近5年以来,共发表学术论文20余篇;出版学术专著2部;获吉林省自然科学学术成果奖二等奖1项。

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