Dynamic complexities in a periodically pulsed ratio-dependent predator--prey ecosystem modeled on a chemostat

DOI10.1016/j.chaos.2005.08.036zbMath1095.92066OpenAlexW1975573429WikidataQ115580039 ScholiaQ115580039MaRDI QIDQ2497701

Jing Hui, Lan-Sun Chen

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.036

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ordinary differential equations with impulses (34A37) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

Chaos in a three-species food chain model with a Beddington-DeAngelis functional response ⋮ The dynamics of natural mortality for pest control model with impulsive effect ⋮ Dynamic complexities of predator-prey system in a pulsed chemostat ⋮ Controlling chaos in a food chain model ⋮ The dynamics of an impulsive predator-prey model with communicable disease in the prey species only ⋮ Nonlinear modelling of chemostat model with time delay and impulsive effect ⋮ The dynamics of an epidemic model for pest control with impulsive effect ⋮ Stability and bifurcation in a two harmful phytoplankton-zooplankton system

Cites Work

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• Hopf bifurcation and transition to chaos in Lotka-Volterra equation
• Recurrences and discrete dynamic systems
• Two species competition in a periodic environment
• Predator-prey models in periodically fluctuating environments
• The dynamics of a discrete population model with threshold
• Strange attractors in Volterra equations for species in competition
• Analysis of periodically time-varying systems
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Periodic Kolmogorov Systems
• Simple mathematical models with very complicated dynamics

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