Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability

From MaRDI portal
Publication:1355042

zbMath0868.45002MaRDI QIDQ1355042

Edoardo Beretta, Yasuhiro Takeuchi

Publication date: 21 August 1997

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)




Related Items (31)

Negative criteria for the existence of periodic solutions in a class of delay-differential equationsBifurcation analysis of a chemostat model with two distributed delaysGlobal analyses in some delayed ratio-dependent predator-prey systemsBifurcation analysis of a turbidostat model with distributed delayGlobal stability in chemostat models involving time delays and wall growthSTABILITY ANALYSIS OF AN SIR EPIDEMIC MODEL AND EFFECT OF CONTROL STRATEGY WITH CONSTANT RECRUITMENTPeriodic oscillatory and global attractivity for chemostat model involving distributed delaysStability and Hopf bifurcations of nonlinear delay malaria epidemic modelGlobal asymptotic behavior of a multi-species stochastic chemostat model with discrete delaysNonlinear modelling of a synchronized chemostat with impulsive state feedback controlAsymptotic properties of a stochastic chemostat model with two distributed delays and nonlinear perturbationOptimal management during the microorganism culture based on the continuous purifying effortStability of epidemic model with time delays influenced by stochastic perturbationsSpatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcationsHopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptakeImpulsive control strategy for a chemostat model with nutrient recycling and distributed time-delayOscillations induced by the time lags in limited nutrient--consumer dynamic modelsNutrient-plankton models with nutrient recyclingDirection and stability of bifurcating periodic solutions of a chemostat model with two distributed delaysInstability in diffusive ecolocical models with nonlocal delay effectsMathematical models of the microbial populations and issues concerning stabilityQualitative analysis of a chemostat model with inhibitory exponential substrate uptakeQualitative analysis of a variable yield turbidostat model with impulsive state feedback controlMathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environmentCompetition in chemostat-type equations with two habitatsDynamics of Nonautonomous Chemostat ModelsQualitative analysis of the chemostat model with variable yield and a time delayGlobal asymptotic behavior in chemostat-type competition models with delayLocal stability of an SIR epidemic model and effect of time delayPeriodic solution of a turbidostat system with impulsive state feedback controlGlobal attractivity in a periodic chemostat with general uptake functions




This page was built for publication: Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability