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Asymptotic behavior of quasi-competitive species defined by Lotka-Volterra dynamics

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Publication:1913900
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DOI10.1007/BF02007173zbMath0853.34034MaRDI QIDQ1913900

Gang Lu, Sleeman, Brian D.

Publication date: 13 January 1997

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)


zbMATH Keywords

extinctionperiodic oscillationscoexistencethree-dimensional Lotka-Volterra systems


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)


Related Items

The pseudo almost periodic solutions of the new class of Lotka-Volterra recurrent neural networks with mixed delays



Cites Work

  • Global stability and oscillations in classical Lotka-Volterra loops
  • On the differential equations of species in competition
  • On $\omega $-Limits for Competition Between Three Species
  • Nonlinear Aspects of Competition Between Three Species
  • Asymptotic Behaviors in the Dynamics of Competing Species


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