CHAOS IN A THREE-DIMENSIONAL VOLTERRA–GAUSE MODEL OF PREDATOR–PREY TYPE

DOI10.1142/S0218127405012934zbMath1092.37541OpenAlexW1989851778WikidataQ115523859 ScholiaQ115523859MaRDI QIDQ5474258

Bruno Rossetto, Jean-Louis Jamet, Jean-Marc Ginoux

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127405012934

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (9)

Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing ⋮ Coexistence in a one-predator, two-prey system with indirect effects ⋮ Hopf bifurcation analysis on general Gause-type predator-prey models with delay ⋮ Global stability and Hopf bifurcation for Gause-type predator-prey system ⋮ GLOBAL ANALYSIS IN DELAYED RATIO-DEPENDENT GAUSE-TYPE PREDATOR-PREY MODELS ⋮ Periodic orbits for a three-dimensional biological differential systems ⋮ Chaotic dynamics in a simple predator-prey model with discrete delay ⋮ Fractional-step \(\theta\)-method for solving singularly perturbed problem in ecology ⋮ Efficient simulation of a slow-fast dynamical system using multirate finite difference schemes

Cites Work

• Unnamed Item
• Mathematical analysis of some three-species food-chain models
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems

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