Study of Lotka-Volterra food chain chemostat with periodically varying dilution rate

DOI10.1007/s10910-007-9263-5zbMath1147.92044OpenAlexW2013376288MaRDI QIDQ937636

Guoping Pang, Fengyan Wang, Lan-Sun Chen

Publication date: 15 August 2008

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-007-9263-5

zbMATH Keywords

chaosbifurcationchemostatLotka-Volterra functional responseperiodic dilution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

THE DYNAMICS OF A CHEMOSTAT MODEL WITH STATE DEPENDENT IMPULSIVE EFFECTS ⋮ On almost periodic processes in impulsive fractional-order competitive systems

Cites Work

• Competition for fluctuating nutrient
• A competition model for a seasonally fluctuating nutrient
• Two species competition in a periodic environment
• Food chains in the chemostat: Relationships between mean yield and complex dynamics
• Invasion and chaos in a periodically pulsed mass-action chemostat
• Chaos in three species food chains
• Order and chaos in predator to prey ratio-dependent food chain
• Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• The Simple Chemostat with Wall Growth
• Crises, sudden changes in chaotic attractors, and transient chaos

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