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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, PP. 436-441

Keywords: 森林害虫，脉冲投放，周期解，全局稳定性
Forest Pests, Impulsive Release, Periodic Solution, Global Stability

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Abstract:

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。
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.

References

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