学术报告1
报告题目： Turing-Hopf bifurcation in the reaction-diffusion system with delay
报告人：宋永利 教授同济大学教授，博士研究生导师
摘要：In this talk, we first give the general algorithm of calculation of normal form of Turing-Hopf bifurcation in the reaction-diffusion system with delay. Then we investigate the spatial-temporal dynamics of diffusive predator-prey model with weak Allee effect and delay near the Turing-Hopf bifurcation point. The stable spatially inhomogeneous and homogeneous periodic solutions, nonconstant steady states and transition from one kind of pattern to another are found.
报告时间：2017年9月28日（周四）下午2:30-3:30
报告地点：长清湖校区B407
学术报告2：
报告题目：Dynamics analysis of a pest management prey–predator model by means of interval state monitoring and control
Abstract: 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：张同华 副教授澳大利亚斯文本大学，副教授，博士生导师
报告时间：2017年9月28日（周四）下午3:30—4:30
报告地点：长清湖校区B407
欢迎老师和同学参加！
