Qualitative analysis of a class of competitive and cooperative systems

DOI10.1007/BF02560594zbMath0667.93055MaRDI QIDQ3820479

Jiancheng Yuan

Publication date: 1988

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

equilibrium\(\omega\)-limit setclosed orbitcooperative systemirreducible competitive system

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) Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Global behavior of a class of three-dimensional competitive systems

Cites Work

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• Qualitative theory of a third-order nonlinear system with examples in population dynamics and chemical kinetics
• Periodic solutions of autonomous differential equations in higher dimensional spaces
• Periodic orbits of competitive and cooperative systems
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• On Populations that Cannibalize Their Young

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