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Stability and instability induced by time delay in an erythropoiesis model

Abstract : We study a mathematical model of erythropoiesis, that is the production of blood cells under the influence of the hormone erythropoietin. Our model consists in a system of two nonlinear delay differential equations, with the cell cycle duration as the delay. We study the local asymptotic stability of the equilibria by using the characteristic equation of the model and we show the existence of a local Hopf bifurcation.
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https://hal.inria.fr/hal-01647180
Contributor : Fabien Crauste <>
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Mostafa Adimy, Fabien Crauste. Stability and instability induced by time delay in an erythropoiesis model. Monografias del Seminario Matematico Garcia de Galdeano, 2004, Jaca, Spain. pp.3 - 12. ⟨hal-01647180⟩

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