﻿ 一类具有周期系数的脉冲种群模型稳定性分析

# 一类具有周期系数的脉冲种群模型稳定性分析Stability Analysis of an Impulsively Population Control Model in Periodical Environment

Abstract: In the paper, we study the stability of pest-extinction periodic solutions of an impulsively popula-tion control model in periodical environment. First, we formulate a plant-pest-natural enemy model in periodical environment with harvesting, spraying and releasing at different moments. Then, we obtain pest-extinction periodic solutions. Some sufficient conditions for local stability and globally stability of pest-extinction periodic solutions are determined by the comparison technique of impulsive differential equations and the Floquet theory.

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