Stability and instability induced by time delay in an erythropoiesis model

• Autores: Mostafa Adimy, Fabien Crauste
• Localización: VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques / coord. por Manuel Pedro Palacios Latasa , David Trujillo, Juan José Torrens Iñigo , Monique Madaune-Tort , María Cruz López de Silanes Busto , Gerardo Sanz Sáiz , 2003, ISBN 84-7733-720-9, págs. 3-12
• Idioma: inglés
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• Resumen

  • 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.