报告题目：Integrated pest management via state-dependent impulses and pesticide alternation in predator–prey ecological systems

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，数学与统计学院副院长，中国生物数学学会专委会委员，重庆市科普协会数学专委会副主任委员，重庆市教学指导委员会专家，第三、四届重庆交通大学学术委员会委员，重庆交通大学优秀中青年骨干教师。国家自然科学基金通讯评议专家、省自然科学奖评议专家，国际杂志《Journal of Mathematics and Interdisciplinary Applications》副主编。以第一作者、通讯作者发表科研论文60余篇，其中SCI检索30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10项纵向科研项目，主持横向课题2项，主编国际会议论文集2部，获重庆市教学成果奖二等奖1项。主要研究方向：微分方程的理论与应用、生物数学模型的建立与分析、疾病的传播与控制等。

报告时间：2026年5月7日（星期四）下午14:00-18:30

报告地点： 数学与统计学院四楼会议室

主办单位：44118太阳成城集团数学与统计学院

联系人：王清龙

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