DYNAMICAL ANALYSIS OF A CONTINUOUS-CULTURE AND HARVEST CHEMOSTAT MODEL WITH IMPULSIVE EFFECT

DOI10.1142/S021833901550028XzbMath1343.92302OpenAlexW2096447052MaRDI QIDQ3188626

Wanbiao Ma, Tongqian Zhang, Xin-Zhu Meng

Publication date: 11 August 2016

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021833901550028x

zbMATH Keywords

chemostat modelpermanencecontrol strategyimpulsive effectglobally asymptotical stabilityflocculationmicrobial harvest

Mathematics Subject Classification ID

Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Physiological, cellular and medical topics (92C99)

Related Items (9)

The stationary distribution of a microorganism flocculation model with stochastic perturbation ⋮ Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects ⋮ Ergodic stationary distribution and extinction of stochastic delay chemostat system with Monod-Haldane functional response and higher-order Lévy jumps ⋮ Survival and ergodicity of a stochastic microorganism flocculation model with nonlinear response functionals ⋮ Dynamical analysis of a logistic model with impulsive Holling type-II harvesting ⋮ Asymptotic behavior of a stochastic microorganism flocculation model with time delay ⋮ Effect of rhizosphere dispersal and impulsive input on the growth of wetland plant ⋮ GLOBAL BEHAVIOR OF A DYNAMIC MODEL WITH BIODEGRADATION OF MICROCYSTINS ⋮ Dynamical behavior of a stochastic microorganism flocculation model with nonlinear perturbation

Cites Work

• Extinction and permanence of chemostat model with pulsed input in a polluted environment
• Periodic solution of a chemostat model with monod growth rate and impulsive state feedback control
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay
• Limit Cycles in a Chemostat-Related Model
• The Theory of the Chemostat

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