Analysis of a Monod-Haldene type food chain chemostat with periodically varying substrate

DOI10.1016/j.chaos.2007.01.018zbMath1146.34317OpenAlexW1990331594MaRDI QIDQ953619

Guoping Pang, Fengyan Wang, Lan-Sun Chen

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.01.018

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (7)

Analysis of a Beddington-DeAngelis food chain chemostat with periodically varying dilution rate ⋮ Analysis of a Lotka-Volterra food chain chemostat with converting time delays ⋮ Stability analysis of nonlinear dynamic systems with slowly and periodically varying delay ⋮ Dynamic analysis of a pest-epidemic model with impulsive control ⋮ Nonlinear modelling of chemostat model with time delay and impulsive effect ⋮ Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion ⋮ Spatiotemporal dynamics of a predation system with time delay and spatial diffusion

Cites Work

• Unnamed Item
• Competition for fluctuating nutrient
• Bifurcation and complexity of Monod type predator--prey system in a pulsed chemostat
• Two species competition in a periodic environment
• Complex dynamics in a model microbial system
• Food chains in the chemostat: Relationships between mean yield and complex dynamics
• Chaos in three species food chains
• Order and chaos in predator to prey ratio-dependent food chain
• Density-dependent vital rates and their population dynamic consequences
• Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate
• Bifurcation and chaos in a Monod-Haldane type food chain chemostat with pulsed input and washout
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• Periodic Time-Dependent Predator-Prey Systems
• Competition in the Unstirred Chemostat with Periodic Input and Washout
• Crises, sudden changes in chaotic attractors, and transient chaos

This page was built for publication: Analysis of a Monod-Haldene type food chain chemostat with periodically varying substrate