Oscillations and global attractivity in delay differential equations of population dynamics

DOI10.1016/S0096-3003(95)00213-8zbMath0848.92018MaRDI QIDQ1918310

Yanyan Li

Publication date: 31 October 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

positive solutionsdelay differential equationspositive steady stateblood circulationbone marrowdensity of mature cellsimmature cells

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Physiology (general) (92C30) Oscillation theory of functional-differential equations (34K11)

Related Items (19)

Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis ⋮ Asymptotic properties of the positive equilibrium of a discrete survival model ⋮ Global stability and oscillation in nonlinear difference equations of population dynamics ⋮ Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients ⋮ Dynamics for a class of general hematopoiesis model with periodic coefficients ⋮ Existence and global attractivity of the unique positive almost periodic solution for a model of hematopoiesis ⋮ Fixed point theorems and uniqueness of the periodic solution for the hematopoiesis models ⋮ Oscillation and global attractivity in hematopoiesis model with periodic coefficients. ⋮ HOPF BIFURCATION ANALYSIS IN A MACKEY–GLASS SYSTEM ⋮ Oscillations of numerical solutions for nonlinear delay differential equations in the control of erythropoiesis ⋮ Oscillation and global attractivity in a periodic delay hematopoiesis model ⋮ Global attractivity, oscillation and Hopf bifurcation for a class of diffusive hematopoiesis models ⋮ Stability and bifurcation of a numerical discretization Mackey-Glass system ⋮ New results on existence and exponential stability of the unique positive almost periodic solution for hematopoiesis model ⋮ On the impulsive delay hematopoiesis model with periodic coefficients ⋮ Existence regions of positive periodic solutions for a discrete hematopoiesis model with unimodal production functions ⋮ Almost periodic solutions of Lasota-Wazewska-type delay differential equation ⋮ Oscillation and global attractivity in hematopoiesis model with delay time ⋮ Oscillation and stability in nonlinear delay differential equations of population dynamics.

Cites Work

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• The dynamics of recurrent inhibition
• Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation
• Global attractivity and periodic solutions in delay-differential equations related to models in physiology and population biology
• Comparison of Approaches to Modeling of Cell Population Dynamics
• Oscillation and Chaos in Physiological Control Systems
• Oscillations and global attractivity in respiratory dynamics

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