Global asymptotic stability of a unique positive periodic solution for a discrete hematopoiesis model with unimodal production functions

DOI10.1007/S00605-019-01330-5zbMath1430.37120OpenAlexW2973341639MaRDI QIDQ2291636

Yan Yan, Jitsuro Sugie

Publication date: 31 January 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-019-01330-5

zbMATH Keywords

positive periodic solutionsglobal asymptotic stabilitydiscrete hematopoiesis modelperiodic delayunimodal production function

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms ⋮ Global attractivity of a unique positive periodic solution for a first-order nonlinear difference equation with time delays ⋮ Nonlinear dynamics of a new seasonal epidemiological model with age-structure and nonlinear incidence rate

Cites Work

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• Optimal existence theory for single and multiple positive periodic solutions to functional difference equations
• A new existence theory for positive periodic solutions to functional differential equations
• Existence regions of positive periodic solutions for a discrete hematopoiesis model with unimodal production functions
• Periodic solutions for scalar functional differential equations
• Multiple positive periodic solutions for a nonlinear first order functional difference equation
• Oscillation and Chaos in Physiological Control Systems

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