Impulsive state feedback control of the rhizosphere microbial degradation in the wetland plant
type: Item
instance of: scholarly article
title: Impulsive state feedback control of the rhizosphere microbial degradation in the wetland plant
zbMATH Open document ID: 1418.92237
DOI: 10.1155/2015/612354
author: Zhong Zhao
author: Liuyong Pang
author: Zhanping Zhao
author: Chengguang Luo
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 7025425
Wikidata QID: Q59106039
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/612354
OpenAlex ID: W1492097114
cites work: Dynamical study and robustness for a nonlinear wastewater treatment model
cites work: Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants
cites work: Modeling and analysis of the removal of an organic pollutant from a water body using fungi
cites work: Mathematical modeling and analysis of the depletion of dissolved oxygen in water bodies
cites work: Periodic solution of a chemostat model with monod growth rate and impulsive state feedback control
cites work: Dynamic analysis of a turbidostat model with the feedback control
cites work: Nonlinear modelling of a synchronized chemostat with impulsive state feedback control
cites work: Homoclinic bifurcation of prey-predator model with impulsive state feedback control
Recommended article: Mathematical model for diffusion of the rhizosphere microbial degradation with impulsive feedback control
Recommended article: Impulsive state feedback control of microbial pesticide model
Recommended article: State-feedback controls of water hyacinth eco-systems
Recommended article: Impulsive state feedback control of the microorganism culture in a turbidostat
Recommended article: Mathematical modeling of rhizosphere microbial degradation with impulsive diffusion on nutrient
Recommended article: Effect of rhizosphere dispersal and impulsive input on the growth of wetland plant
Recommended article: Nonlinear analysis of a microbial pesticide model with impulsive state feedback control
Recommended article: Dynamical behavior of a chemostat model concerning impulsive state feedback control strategy
Recommended article: Modelling and optimal control for an impulsive dynamical system in microbial fed-batch culture
Recommended article: Impulsive control of a continuous-culture and flocculation harvest chemostat model
description: scientific article; zbMATH DE number 7025425