報告題目：Dynamics analysis of a pest management prey–predator model by means of interval state monitoring and control（間隔狀態監視和控製對基於捕食者-食餌模型的病蟲害管理系統動力學的影響）
報告人：張同華博士（澳大利亞斯文本科技大學）
報告時間：2017年9月22日（周五）下午14:30-15:15
報告地點：必一体育平台一樓報告廳
報告摘要：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.
報告人簡介：張同華博士，2005年在上海交通大學應用數學專業博士畢業，後到西奧科廷大學從事博士後研究工作。現在是澳大利亞斯文本大學任教，應用數學專業博士生導師。主要研究領域：微分方程定型理論和分支理論，及其在科學和工程過程中的應用。