Impulsive State Feedback Control of the Rhizosphere Microbial Degradation in the Wetland Plant

被引：5
|
作者：
Zhao, Zhong [1 ]
Pang, Liuyong [1 ]
Zhao, Zhanping [1 ]
Luo, Chengguang [1 ]
机构：
[1] Huanghuai Univ, Dept Math, Zhumadian 463000, Henan, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
基金：
中国国家自然科学基金;
关键词：
DISSOLVED-OXYGEN; WATER BODIES; REMOVAL; MODEL; DEPLETION;
D O I：
10.1155/2015/612354
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The rhizosphere microbe plays an important role in removing the pollutant generated from industrial and agricultural production. To investigate the dynamics of the microbial degradation, a nonlinear mathematical model of the rhizosphere microbial degradation is proposed based on impulsive state feedback control. The sufficient conditions for existence of the positive order-1 or order-2 periodic solution are obtained by using the geometrical theory of the semicontinuous dynamical system. We show the impulsive control system tends to an order-1 periodic solution or order-2 periodic solution if the control measures are achieved during the process of the microbial degradation. Furthermore, mathematical results are justified by some numerical simulations.
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页数：7
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