Dynamic complexities of predator-prey system in a pulsed chemostat

DOI10.1016/J.CNSNS.2011.06.027zbMath1243.92052OpenAlexW1992769566WikidataQ115578405 ScholiaQ115578405MaRDI QIDQ434774

Jianwen Jia, Honghong Zhang

Publication date: 16 July 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.027

zbMATH Keywords

bifurcationperiodic solutionimpulsive differential equation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40)

Cites Work

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• Bifurcation and complexity of Monod type predator--prey system in a pulsed chemostat
• Hopf bifurcations for a variable yield continuous fermentation model
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• Multiple limit cycles in the chemostat with variable yield
• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
• Bifurcation and chaos in a Monod-Haldane type food chain chemostat with pulsed input and washout
• Bifurcation and chaos in a Monod type food chain chemostat with pulsed input and washout
• Dynamic complexities in a periodically pulsed ratio-dependent predator--prey ecosystem modeled on a chemostat

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