Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay

DOI10.1002/mma.2807zbMath1296.34167OpenAlexW2072516789MaRDI QIDQ5406960

Xian-Qing Liu, Ning Chen, Baodan Tian, Shou-ming Zhong

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2807

zbMATH Keywords

global stabilitychemostat modeldistributed time delayimpulses, permanence

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items

Ergodic stationary distribution and extinction of stochastic delay chemostat system with Monod-Haldane functional response and higher-order Lévy jumps

Cites Work

• Unnamed Item
• Dynamic behaviors of Monod type chemostat model with impulsive perturbation on the nutrient concentration
• Mathematics and dynamic analysis of an apparent competition community model with impulsive effect
• Dynamics of infection with nonlinear incidence in a simple vaccination model
• Periodic oscillatory and global attractivity for chemostat model involving distributed delays
• The effects of pulse vaccination on SEIR model with two time delays
• Pulse vaccination delayed SEIRS epidemic model with saturation incidence
• Predator-mediated competition in the chemostat
• Topological methods for the study of nonlinear mixed stochastic integral equations
• Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability
• The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
• Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects
• Global behaviors of Monod type chemostat model with nutrient recycling and impulsive input
• Global stability in chemostat models involving time delays and wall growth
• The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• Modelling and analysis of integrated pest management strategy
• Delayed feedback control for a chemostat model
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• A Mathematical Model of the Chemostat with Periodic Washout Rate

This page was built for publication: Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay