Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield

DOI10.1007/s10483-009-0712-xzbMath1178.34053OpenAlexW2134486560WikidataQ60199400 ScholiaQ60199400MaRDI QIDQ842753

Paul Georgescu, Hong Zhang, Lan-Sun Chen, Juan. J. Nieto

Publication date: 25 September 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0712-x

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Stability and robustness analysis for a multispecies chemostat model with delays in the growth rates and uncertainties ⋮ Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling ⋮ A competitive model in a chemostat with nutrient recycling and antibiotic treatment ⋮ Global stability for a model of competition in the chemostat with microbial inputs ⋮ Delay induced oscillations in a turbidostat with feedback control ⋮ Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor ⋮ Existence of solution to boundary value problem for impulsive differential equations

Cites Work

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• Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input
• Complex dynamics of a chemostat with variable yield and periodically impulsive perturbation on the substrate
• Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
• Invasion and chaos in a periodically pulsed mass-action chemostat
• Pest regulation by means of impulsive controls
• A discrete-delayed model with plasmid-bearing, plasmid-free competition in a chemostat
• Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations
• A three dimensional chemostat with quadratic yields
• The Simple Chemostat with Wall Growth
• A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat

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