Complex dynamics of a chemostat with variable yield and periodically impulsive perturbation on the substrate

DOI10.1007/s10910-006-9200-zzbMath1135.92034OpenAlexW2034756874MaRDI QIDQ926940

Shulin Sun, Lan-Sun Chen

Publication date: 21 May 2008

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-006-9200-z

zbMATH Keywords

chaotic attractorpermanencevariable yieldperiodically pulsed substrate

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (15)

THE DYNAMICS OF A CHEMOSTAT MODEL WITH STATE DEPENDENT IMPULSIVE EFFECTS ⋮ Analysis of a chemostat model with variable yield coefficient: Tessier kinetics ⋮ Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield ⋮ A stochastic chemostat model with an inhibitor and noise independent of population sizes ⋮ A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function ⋮ The stochastic periodic behavior of a chemostat model with periodic nutrient input ⋮ Periodicity and stability in a single-species model governed by impulsive differential equation ⋮ Dynamic behaviors of a turbidostat model with Tissiet functional response and discrete delay ⋮ Dynamical behavior of a stochastic two-species monod competition chemostat model ⋮ Permanence in a periodic delay logistic system subject to constant impulsive stocking ⋮ Sufficient and necessary conditions for stochastic near-optimal controls: a stochastic chemostat model with non-zero cost inhibiting ⋮ Permanence in a periodic single species system subject to linear/constant impulsive perturbations ⋮ Qualitative analysis of the chemostat model with variable yield and a time delay ⋮ Permanence and partial extinction in an impulsive delay competitive system with the effect of toxic substances ⋮ Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy

Cites Work

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• Multiple limit cycles in the chemostat with variable yield
• \(N\)-species competition in a periodic chemostat
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• The Theory of the Chemostat

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