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具有状态脉冲效应的害虫防治模型

刘娟

山西农业大学学报(自然科学版)2017,Vol.37Issue(3):173-176,188,5.
山西农业大学学报(自然科学版)2017,Vol.37Issue(3):173-176,188,5.

具有状态脉冲效应的害虫防治模型

Pest control model with state pulse effect

刘娟1

作者信息

  • 1. 山西农业大学文理学院,山西太谷030801
  • 折叠

摘要

Abstract

[Objective]Mathematically,the theoretical evidence of the controlling pests using the integrated pest management strategy in agriculture is given by the obtained results.[Methods]Considering the pesticide effect on natural enemies and the influence of the density restriction items,we improve a pest control model concerning integrated pest management (or IPM) to obtain a new equation to investigate the dynamical behavior.And the Matlab software is utilized to simulate numerically.[Results]We achieve the existence of first order periodic solution and prove the accuracy of the model.[Conclusion]According to the actual condition of the crop growth period in the specific field,we select the different initial value in the model to optimize the distribution of resources.

关键词

害虫综合治理/脉冲微分方程/动力系统/阶一周期解

Key words

Integrated pest management/impulsive differential equation/dynamical system/first order periodic solution

分类

数理科学

引用本文复制引用

刘娟..具有状态脉冲效应的害虫防治模型[J].山西农业大学学报(自然科学版),2017,37(3):173-176,188,5.

山西农业大学学报(自然科学版)

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