Oscillations and global attractivity in models of hematopoiesis
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Publication:909091
DOI10.1007/BF01057415zbMath0694.34057OpenAlexW2053298982MaRDI QIDQ909091
Gerasimos E. Ladas, Kondalsamy Gopalsamy, Mustafa R. S. Kulenović
Publication date: 1990
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01057415
Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)
Related Items (38)
Oscillation in dynamical systems ⋮ Existence and global attractivity of unique positive periodic solution for a model of hematopoiesis ⋮ Pseudo-almost periodic solution for impulsive hematopoiesis model with infinite delays and linear harvesting term ⋮ Global existence of positive periodic solutions of a general differential equation with neutral type ⋮ The dynamics of some discrete population models ⋮ Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control ⋮ Global asymptotic stability for a periodic delay hematopoiesis model with impulses ⋮ Oscillation for a class of diffusive hematopoiesis model with several arguments ⋮ Positive periodic solutions for discrete time-delay hematopoiesis model with impulses ⋮ Existence and global attractivity of the unique positive almost periodic solution for a model of hematopoiesis ⋮ Oscillation and global attractivity in hematopoiesis model with periodic coefficients. ⋮ HOPF BIFURCATION ANALYSIS IN A MACKEY–GLASS SYSTEM ⋮ Numerical oscillations analysis for nonlinear delay differential equations in physiological control systems ⋮ Global attractivity of periodic solution in a model of hematopoiesis. ⋮ Oscillations of numerical solutions for nonlinear delay differential equations in the control of erythropoiesis ⋮ Global attractivity of a unique positive periodic solution for a first-order nonlinear difference equation with time delays ⋮ Oscillation and global attractivity in a periodic delay hematopoiesis model ⋮ Global attractivity, oscillation and Hopf bifurcation for a class of diffusive hematopoiesis models ⋮ A note on global attractivity in models of hematopoiesis ⋮ Stable steady state of some population models ⋮ NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL ⋮ The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations ⋮ Stability and bifurcation of a numerical discretization Mackey-Glass system ⋮ A necessary and sufficient condition for the existence of positive periodic solutions of a model of hematopoiesis ⋮ Global attractivity and periodic solutions in delay-differential equations related to models in physiology and population biology ⋮ The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients ⋮ Traveling wavefront in a hematopoiesis model with time delay ⋮ Global attractivity in a population model with nonlinear death rate and distributed delays ⋮ LDG method for reaction-diffusion dynamical systems with time delay ⋮ Global behavior of a discrete haematopoiesis model with several delays ⋮ Remarks on a set of sufficient conditions for global attractivity in a model of hematopoiesis ⋮ 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 ⋮ Oscillations in a white blood cell production model with multiple differentiation stages ⋮ Existence regions of positive periodic solutions for a discrete hematopoiesis model with unimodal production functions ⋮ Dynamics of the almost periodic discrete Mackey-Glass model ⋮ Almost periodic solutions of Lasota-Wazewska-type delay differential equation ⋮ Oscillation and stability in nonlinear delay differential equations of population dynamics.
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