脉冲控制的害虫综合防治模型及仿真

J4 ›› 2012, Vol. 50 ›› Issue (02): 183-190.

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Impulse Control in Pest Management and Computer Simulation

YUE Zongmin, LIU Haifeng, LIN Xiaolin

Faculty of Science, Shaanxi University of Science and Technology, Xi’an 710021, China

Received:2011-05-25 Online:2012-03-26 Published:2012-03-21
Contact: LIU Haifeng E-mail:liuhf@sust.edu.cn

Abstract

Abstract:

The stability of a pest management viral infection system with impulsive releases of viral particles and natural enemies was researched by means of Floquet’s theorem, smallamplitude perturbation skills and comparison theorem. The sufficient conditions of globally asymptotic stability of pesteradication periodic solution and the permanence of the system controlled by that controller were obtained. Finally the mathematical findings were illustrated by numerical simulations.

Key words: impulsive, global stability, uniform permanence

CLC Number:

O175.1

YUE Zong-Min, LIU Hai-Feng, LIN Xiao-Lin. Impulse Control in Pest Management and Computer Simulation[J].J4, 2012, 50(02): 183-190.

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Impulse Control in Pest Management and Computer Simulation

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