Necessary and sufficient conditions for the existence of periodic orbits in a Lotka-Volterra system.
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Publication:1406531
DOI10.1016/S0022-247X(03)00340-8zbMath1037.34035MaRDI QIDQ1406531
Publication date: 4 September 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
Related Items (5)
Periodic orbits near heteroclinic cycles in a cyclic replicator system ⋮ On the dynamics of a class of Kolmogorov systems ⋮ Exponential stability of a competitive Lotka-Volterra system with delays ⋮ Dynamics of competitive Lotka-Volterra systems that can be projected to a line ⋮ Dynamics of a rate equation describing cluster-size evolution
Cites Work
- Unnamed Item
- Systems of differential equations which are competitive or cooperative: III. Competing species
- Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family
- On a Lotka-Volterra model which can be projected to a sphere
- On the Asymmetric May--Leonard Model of Three Competing Species
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