Global attractivity of periodic solution in a model of hematopoiesis.

DOI10.1016/S0898-1221(02)00211-0zbMath1035.45004OpenAlexW2020889534MaRDI QIDQ1416309

Pei-xuan Weng

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00211-0

zbMATH Keywords

global attractivityperiodic solutionpositive solutionhematopoiesis

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Periodic solutions of integral equations (45M15) Biochemistry, molecular biology (92C40) Positive solutions of integral equations (45M20)

Related Items (11)

Stability analysis of anti-periodic solutions of the time-varying delayed hematopoiesis model with discontinuous harvesting terms ⋮ Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis ⋮ About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations ⋮ Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control ⋮ Dynamical behaviors of the generalized hematopoiesis model with discontinuous harvesting terms ⋮ Global attractivity, oscillation and Hopf bifurcation for a class of diffusive hematopoiesis models ⋮ Global attractivity of almost-periodic solution in a model of hematopoiesis with feedback control ⋮ Global exponential stability for the Mackey-Glass model of respiratory dynamics with a control term ⋮ New results on existence and exponential stability of the unique positive almost periodic solution for hematopoiesis model ⋮ Global asymptotic stability of a unique positive periodic solution for a discrete hematopoiesis model with unimodal production functions ⋮ Dynamics of the almost periodic discrete Mackey-Glass model

Cites Work

• Periodic auto-immune hemolytic anemia: An induced dynamical disease
• Oscillations and global attractivity in models of hematopoiesis
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Integral equations and stability of feedback systems
• Oscillation and Chaos in Physiological Control Systems
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