Existence of limit cycles in a three level trophic chain with Lotka-Volterra and Holling type II functional responses

DOI10.1016/j.chaos.2016.12.011zbMath1373.92101OpenAlexW2562779659MaRDI QIDQ1674300

Víctor Castellanos, Ramón E. Chan-López

Publication date: 2 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.12.011

zbMATH Keywords

stabilityfood chainLeslie-Gower schemeAndronov-Hopf bifurcationfirst Lyapunov coefficient

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

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Cites Work

• Analytical study of a triple Hopf bifurcation in a tritrophic food chain model
• Multiple limit cycles in the standard model of three species competition for three essential resources
• Existence of limit cycles in a tritrophic food chain model with Holling functional responses of type II and III
• Elements of applied bifurcation theory
• Analysis of the dynamics of a realistic ecological model
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