报告题目：Dynamics analysis of a pest management prey–predator model by means of interval state monitoring and control（间隔状态监视和控制对基于捕食者-食饵模型的病虫害管理系统动力学的影响）
报告人：张同华博士（澳大利亚斯文本科技大学）
报告时间：2017年9月22日（周五）下午14:30-15:15
报告地点：理学院一楼报告厅
报告摘要：In this work, a new pest management strategy by means of interval state monitoring is introduced into a prey–predator model, i.e. when the pest density exceeds the slightly harmful level but is below the damage level, the biological control is adopted in case of the predator density below a maintainable level, once the pest density exceeds the damage level, the chemical control is adopted. In order to determine the frequency of the chemical control and yield of releases of the predator, analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map. The results could make the pest control strategy to be a periodic one without real-time monitoring the species. In addition, the stability and attractiveness of the periodic orbit are obtained by geometry approach, which ensures a certain robustness of control, i.e., even though the species densities are detected inaccurately or with a deviation, the system will be eventually stable at the periodic orbit under the control action. Furthermore, to obtain the optimum chemical control strength and yield releases of the predator, an optimization problem is constructed. The analytical results presented in the work are validated by numerical simulations for a specific model.
报告人简介：张同华博士，2005年在上海交通大学应用数学专业博士毕业，后到西奥科廷大学从事博士后研究工作。现在是澳大利亚斯文本大学任教，应用数学专业博士生导师。主要研究领域：微分方程定型理论和分支理论，及其在科学和工程过程中的应用。