Smoothly intertwined basins of attraction in a prey-predator model

DOI10.1007/BF00992843zbMath0831.58050WikidataQ115610366 ScholiaQ115610366MaRDI QIDQ1897267

Laura Tedeschini Lalli

Publication date: 13 February 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

basin of attractionprey-predator model

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of dynamical systems (37N99) Numerical analysis in abstract spaces (65J99)

Related Items (10)

Ecological resilience of population cycles: a dynamic perspective of regime shift ⋮ Intertwined basins of attraction in systems of O. D. E ⋮ A proof for a theorem on intertwining property of attraction basin boundaries in planar dynamical systems. ⋮ Structure of basin boundaries of attractors of ODE's on \(S^{2}\). ⋮ On the intertwined basins of attraction for planar flows. ⋮ A PREY-PREDATOR MODEL WITH HOLLING Ⅱ FUNCTIONAL RESPONSE AND THE CARRYING CAPACITY OF PREDATOR DEPENDING ON ITS PREY ⋮ Prey-predator systems with intertwined basins of attraction ⋮ Indirect Allee effect, bistability and chaotic oscillations in a predator--prey discrete model of logistic type ⋮ Intertwined basins of attraction of dynamical systems ⋮ Intertwined basins of attraction generated by the stable manifold of a saddle point

Cites Work

• Unnamed Item
• Fractal basin boundaries
• Basin boundary metamorphoses: Changes in accessible boundary orbits
• Bifurcations of the forced van der Pol oscillator

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