曲阜师范大学学报（自然科学版）2025，Vol.51Issue(3)：23-30,8.DOI:10.3969/j.issn.1001-5337.2025.3.023
基于庞加莱映射的害虫综合治理模型的动力学性质
Dynamic properties of integrated pest management model based on Poincaré map
摘要
Abstract
In this paper,a mathematical model of integrated pest management with linear state feedback control is presented,and the global dynamic properties of the system are studied.Firstly,Poincaré map is defined on the phase set,and its geometric and analytical properties are discussed.Secondly,the sufficient and necessary conditions for the stability of the order periodic solution(the fixed point of Poincaré map)are given,and the existence and stability of the order periodic solution are analyzed and discussed.Finally,the correctness of the theoretical conclusion was verified by numerical simulation,and the effective strategy of integrated pest control is given.关键词
害虫综合治理/脉冲半动力系统/庞加莱映射/周期解Key words
integrated pest management/pulse semi-dynamic system/Poincaré map/periodic solution分类
数学引用本文复制引用
程惠东,张鑫,王孝敏..基于庞加莱映射的害虫综合治理模型的动力学性质[J].曲阜师范大学学报（自然科学版）,2025,51(3):23-30,8.基金项目
山东省自然科学基金(ZR202208300047). （ZR202208300047）
