Limit cycles in a food-chain with inhibition responses

DOI10.1016/j.nonrwa.2008.10.008zbMath1176.34066OpenAlexW2004281742MaRDI QIDQ1021964

Minaya Villasana, Si Yuan Wang, Le-Min Zhu, Xun-Cheng Huang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.008

zbMATH Keywords

Lyapunov functionlimit cyclefood-chain modelglobal symptotica stability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

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Complex Dynamics of a Filippov Three-Species Food Chain Model

Cites Work

• Unnamed Item
• Global stability of a three-dimensional bio-reactor with inhibition responses
• Extinction of top-predator in a three-level food-chain model
• Food chains in the chemostat: Relationships between mean yield and complex dynamics
• Remarks on food chain dynamics
• Competition in the bioreactor with general quadratic yields when one competitor produces a toxin
• A survey of constructing Lyapunov functions for mathematical models in population biology
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• Global Stability for a Class of Predator-Prey Systems