PLANT-PEST-NATURAL ENEMY MODEL WITH IMPULSIVE BIOLOGICAL AND CHEMICAL CONTROL

被引：4

作者：

Kumari, Vandana ^{[1
]}

Chauhan, Sudipa ^{[1
]}

Bhatia, Sumit Kaur ^{[1
]}

Dhar, Joydip ^{[2
]}

机构：

[1] Amity Univ, Amity Inst Appl Sci, Sect 125, Noida, India

[2] Atal Bihari Vajpayee IIITM, Gwalior, India

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2018年 / 10卷 / 04期

关键词：

Plant-Pest-natural enemy; boundedness; local stability; impulse; periodic solution; permanence;

D O I：

10.7153/dea-2018-10-28

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a plant pest mathematical model is presented with integrated pest management through impulse. Two control measures: Biological(Natural Enemies) and Chemical pesticides are taken in consideration in the model through impulse. Roundedness and the sufficient conditions of existence of the positive periodic solutions is established. Further, the local stability of the pest extinction equilibrium point is studied using Floquet's theory. It is proved that the pest extinction equilibrium point is globally stable at T < T-max and the system is permanent for T > T-max. Numerical data per week are taken to illustrate the theoretical results using MATLAB software.

引用

页码：413 / 431

页数：19

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