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报告题目：Research on switching systems with resistance development in integrated pest management报告人：刘兵 教授报告时间：2025年11月28日 15：00-16：00报告地点：四教308报告摘要：Considering that the amount of natural enemies released at fixed times and under limited resources depends on the number of existing natural enemies, the predation rate function and conversion rate of natural enemies on pests are different at different time periods with and without the use of pesticides, and long-term repeated use of the same pesticide can cause pests to develop physiological resistance and behavioral resistance, in this talk, we establish an integrated pest management switching model with pesticides resistance and limited resources of natural enemies. The existence of pest-extinction periodic solution and the pest-extinction threshold are obtained through theoretical analysis. Numerical simulation results indicate that the development of the physiological and behavioral resistance of the pest population ultimately leads to outbreaks of pest populations. If only physiological resistance is considered, the estimated outbreak time of pest populations will be delayed and their size will be underestimated. If only behavioral resistance is considered, the estimated outbreak time of pests will be advanced. Further, elastic releasing natural enemies and three rotating pesticide strategies to control pests are proposed. Finally, the effects of the frequency of pesticide spraying, the non-instantaneous killing efficiency rate of pesticide to sensitive pests, and the start applied time of pesticide within a pest control cycle on the pest-extinction threshold are presented. 个人简介：刘兵，鞍山师范学院数学学院院长、三级教授、辽宁科技大学博士生导师、辽宁省“百千万人才工程”百人层次人选，辽宁省教学名师，辽宁省青年科技奖获得者，鞍山市首批突出贡献专家，鞍山市“钢都英才计划”C类地方领军人才。2004年获中国科学院数学与系统科学研究院博士学位，主要研究方向为生物数学和数学教育。目前为中国生物数学会常务理事，国家自然科学基金同行评议专家。在国内外学术期刊发表论文100余篇，其中SCI检索60余篇；主持国家自然科学基金面上项目4项，入选辽宁省高等学校优秀人才支持计划项目。获辽宁省自然科学奖三等奖1项。
2025-11-21
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报告题目：Higher order peakons and pseudo-peakons for generalized J-K-CH equations报 告 人：姚若侠 教授报告时间：2025年11月21日（星期五）下午14:30报告地点：上海理工大学卓越楼，810会议室报告摘要：Traditional methods for investigating peakon and pseudo-peakon waves face significant limitations when applied to higher order integrable systems, such as the generalized higher order Camassa-Holm (CH), Degasperis-Procesi (DP), and b-family Novikov equations. We study the generalized higher order CH equations (J-K-CH), encompassing four cases J-1-CH，J-2-CH, J-3-CH , and the general case J-K-CH. By analyzing weak solutions of the generalized J-K-CH type equations, leveraging the properties of the signum function, the generalized function/distribution function, and the zero distribution analysis, we construct a theoretical framework for generating and rigorously verifying conjectures on the existence of the higher order peakons and pseudo-peakons. Furthermore, we derive constraint conditions for unified mathematical expressions describing peakons and higher order pseudo-peakons, characterized by arbitrary constants: a 5th-order pseudo-peakon with J-4 arbitrary constants for J-1-CH equation, a 7th-order pseudo-peakon with J-6 arbitrary constants for J-2-CH equation, a 9th-order pseudo-peakon with J-8 arbitrary constants for J-3-CH equation, and a (2K+3)th-order pseudo-peakon with J-2(K+1) arbitrary constants for the generalized J-K-CH equation. Besides, more higher order pseudo-peakon are given for some specific parameter constraints by analyzing the continuity condition and the singularity condition.报告人简介:姚若侠，陕西师范大学三级教授，博士生导师，现任人工智能与计算机学院院长，全国高等学校计算机教育研究会师范教育分会副理事长，曾任陕西师范大学学科建设处处长，人才工作处处长等职。西北大学数学系本科，华东师范大学计算机系硕士、博士，上海交通大学博士后，美国明尼苏达大学数学系访问学者；陕西师范大学符号计算与人工智能实验室主任；主持完成国家自然科学基金面上项目3项、省部级项目4项；研究成果在国内外重要期刊发表；2018年以第一完成人获陕西省科学技术奖二等奖1项，2006年以第三完成人获陕西省科学技术奖二等奖1项，博士论文获上海市研究生优秀成果奖(优博论文)。
2025-11-21
