具脉冲的三种群害虫模型的动力学性质
Dynamical Properties of a Three Species Pest Model with Impulses
DOI: 10.12677/PM.2021.114056, PDF,    科研立项经费支持
作者: 杜明银：郑州工商学院，河南 郑州
关键词: 森林害虫；脉冲投放；周期解；全局稳定性；Forest Pests； Impulsive Release； Periodic Solution； Global Stability
摘要: 基于害虫控制策略，研究固定时刻种植树木和投放害虫天敌的脉冲种群系统模型，利用Floquet理论和比较原理，研究害虫灭绝周期解的存在性和全局渐进稳定性，给出森林病虫害控制给出重要理论依据。
Abstract: Based on the pest control strategy, the impulsive population system model of planting trees and releasing natural enemies at fixed time is studied. By using Floquet theory and comparison princi-ple, the existence and global asymptotic stability of periodic solution of pest extinction are studied, and the important theoretical basis for forest pest control is given.
文章引用：杜明银. 具脉冲的三种群害虫模型的动力学性质[J]. 理论数学, 2021, 11(4): 436-441. https://doi.org/10.12677/PM.2021.114056

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