Positive quasi-periodic solutions to Lotka-Volterra system

DOI10.1007/s11425-009-0217-1zbMath1204.37084OpenAlexW1978845110MaRDI QIDQ989763

Hongzi Cong, Lufang Mi, Xiao Ping Yuan

Publication date: 23 August 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0217-1

zbMATH Keywords

KAM theoryquasi-periodic solutionLotka-Volterra system

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (7)

Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equation ⋮ Existence of quasi-periodic solutions of the real pendulum equation ⋮ Quasi-periodic solution of quasi-linear fifth-order KdV equation ⋮ Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation ⋮ A general representation theorem of a kind of super \(B\)-quasi-Ehresmann semigroups ⋮ Construction of quasi-periodic solutions for delayed perturbation differential equations ⋮ DOUBLE LOOP QUANTUM ENVELOPING ALGEBRAS

Cites Work

• Periodic solutions of a periodically perturbed Lotka-Volterra equation using the Poincaré-Birkhoff theorem
• The structure of LaSalle's invariant set for Lotka-Volterra systems
• An application of topological degree to the periodic competing species problem
• On almost Periodic Solutions of the Competing Species Problems

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