Stability and instability induced by time delay in an erythropoiesis model

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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