报告主题：害虫治理问题的数学模拟研究
报告人：刘兵 教授 （鞍山师范学院）
报告时间：2020年11月2日（周六） 10:00
会议地点：G507
邀请人：娄洁
主办部门：理学院数学系
报告摘要：As we all know, crop pests have been the biggest obstacle to agricultural development. The existence of pests will not only reduce the yield of crops but also affect their quality, resulting in economic losses. Therefore, the control of pests is an important research subject in agriculture all over the world. The most common methods of pest control are spraying pesticide and releasing naturual enemies or infected pests. In this talk, we first summarize the progress of using mathematical models to simulate the pest control problems. Then we introduce the work we have done in this problems from three aspects: (1)Taking the susceptible pest as the control index on whether to implement chemical control and biological control strategies, a piecewise smooth Fillipov SI pest control system is considered; (2)A hybrid dynamical model incorporating residual and delayed effects of pesticides and pest resistance to simulate the process of integrated pest management is studied; (3) A pest management model with transient and non-transient impulsive effects is considered
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