Bifurcation and complexity of Monod type predator--prey system in a pulsed chemostat

DOI10.1016/j.chaos.2005.04.025zbMath1096.34029OpenAlexW2059915834WikidataQ115580051 ScholiaQ115580051MaRDI QIDQ813760

Fengyan Wang, Lihua Sun, Shuwen Zhang, Lan-Sun Chen

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.025

zbMATH Keywords

chaosbifurcationperiodic solutionpredator-prey modelperiodic impulse

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (20)

ANALYSIS OF A CHEMOSTAT MODEL WITH PULSED INPUT ⋮ The dynamical complexity of an impulsive Watt-type prey-predator system ⋮ Analysis of a Beddington-DeAngelis food chain chemostat with periodically varying dilution rate ⋮ Dynamics of a two-prey one-predator system with Watt-type functional response and impulsive control strategy ⋮ Bifurcation analysis and control of a discrete harvested prey-predator system with Beddington-DeAngelis functional response ⋮ Chaotic behavior of a Watt-type predator-prey system with impulsive control strategy ⋮ Dynamic complexities of predator-prey system in a pulsed chemostat ⋮ Complicated dynamics of a predator-prey system with Watt-type functional response and impulsive control strategy ⋮ Strong resonance and chaos in a single-species chemostat model with periodic pulsing of resource ⋮ Chaos in a Lotka-Volterra predator-prey system with periodically impulsive ratio-harvesting the prey and time delays ⋮ Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect ⋮ Analysis of a Monod-Haldene type food chain chemostat with periodically varying substrate ⋮ Stability and bifurcation analysis in a delayed SIR model ⋮ The dynamics of a new SIR epidemic model concerning pulse vaccination strategy ⋮ Chaos and Hopf bifurcation of a hybrid ratio-dependent three species food chain ⋮ Bifurcation and chaos in a ratio-dependent predator-prey system with time delay ⋮ Bifurcation and chaos of a pest-control food chain model with impulsive effects ⋮ Extinction and permanence in delayed stage-structure predator-prey system with impulsive effects ⋮ Bifurcation analysis in single-species population model with delay ⋮ ANALYSIS OF A MODEL OF PLASMID-BEARING, PLASMID-FREE COMPETITION IN A PULSED CHEMOSTAT

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