报告题目：Integrated pest management via state-dependent impulses and pesticide alternation in predator-prey ecological systems
报 告 人：谭远顺教授
报告时间：2026年2月8日（星期日）上午10:50-11:30
报告地点：管理学院四楼第二会议室
报告摘要：The state-dependent impulsive models arising from the biological pest management have been attracted great attention recently, however, most of the proposed models only focus on the very special cases, once the pulse models are nonlinear or nonautonomous, the complete dynamics of the models is far from being solved due to the complexity. Therefore, a Holling II prey-predator model with state-dependent feedback control, rotating pesticide and evolution of resistance in this article is proposed, which makes the model quite different from the existed ones, by employing the Poincaré map for impulsive point series defined in the phase set, and using the comprehensive qualitative analysis of global dynamics in the whole parameter space, the existence, local and global stability of an order-1q periodic solution are obtained. Moreover, the existence of order-2q and order-3q periodic solutions are also been proved theoretically, which indicates that any order periodic solution exists for the proposed model. These findings suggest that rotating pesticide applications can be beneficial for pest control. However,bifurcation analysis also warns managers that blindly increasing control intensity or selecting inappropriate pesticides may shift pest population dynamics from a simple, predictable state to a complex, unpredictable, or even chaotic regime, thereby significantly increasing the difficulty and risk of control failures.
报告人简介:谭远顺，三级教授，博士，博士生导师，重庆交通大学数学与统计学院副院长，第三、四届校学术委员会委员，重庆市教学指导委员会委员,重庆市科协数学专委会副主任委员,国家自然科学基金通讯评议专家,加州大学(圣地亚哥)高级访问学者。主要研究方向:微分方程的理论与应用、种群动力学建模与分析、疾病的传播与控制等。在《Journal of Mathematical Biology》 《Applied Mathematical Modelling》《Mathematical Bioscience》《Nonlinear Dynamics》等学术期刊发表SCI检索论文50余篇。主持国家自然科学基金面上项目、重庆市自然科学基金面上项目等纵向项目6项,主持教育部协同育人项目、重庆市高等教育教学改革研究项目4项，主持横向课题2项，主编国际会议论文集2部。
