A result on a feedback system of ordinary differential equations

DOI10.1007/BF01053804zbMath0758.34035MaRDI QIDQ1199667

A. S. Elkhader

Publication date: 16 January 1993

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorperiodic pointexamplebounded solutionscyclic differential systemsfeedback system of ordinary differential equationsinteracted 4-species modelomega-limit

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (5)

Local and global analysis of endocrine regulation as a non-cyclic feedback system ⋮ A generalization of linear positive systems with applications to nonlinear systems: invariant sets and the Poincaré-Bendixson property ⋮ Compound matrices in systems and control theory: a tutorial ⋮ Cyclic negative feedback systems: what is the chance of oscillation? ⋮ On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation

Cites Work

• Unnamed Item
• Persistence in models of three interacting predator-prey populations
• The Poincaré-Bendixson theorem for monotone cyclic feedback systems
• Competitive and Cooperative Tridiagonal Systems of Differential Equations
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets

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