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A 3D competitive Lotka–Volterra system with three limit cycles: A falsification of a conjecture by Hofbauer and So

  • Published:2006-01 Issue:1 Volume:19 Page:1-7
  • ISSN:0893-9659
  • Container-title:Applied Mathematics Letters
  • language:en
  • Short-container-title:Applied Mathematics Letters

Author:

Gyllenberg Mats,Yan Ping,Wang Yi

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference11 articles.

1. Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems;Zeeman;Dyn. Stab. Syst.,1993

2. Multiple limit cycles for three dimensional Lotka–Volterra equations;Hofbauer;Appl. Math. Lett.,1994

3. Evolutionary Games and Population Dynamics;Hofbauer,1998

4. Systems of differential equations which are competitive or cooperative III: Competing species;Hirsch;Nonlinearity,1988

5. Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems;Smith,1995

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1. On the multiplicity of limit cycles for 3D Leslie-Gower competitive system;Discrete and Continuous Dynamical Systems - B;2025

2. Three limit cycles for 3D Ricker competitive system;Discrete and Continuous Dynamical Systems - B;2024

3. On classification of a 4D competitive LV system;P AM MATH SOC;2023-07-13

4. Four Limit Cycles for a Rock-Scissor-Paper Game Between Bacteriocin Producing Bacteria;Journal of Systems Science and Complexity;2023-03-16

5. Multiplicity on Limit Cycles of 3D Lotka-Volterra Competitive Systems;Journal of Dynamics and Differential Equations;2022-12-20
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