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Contribution to the Study of a Mathematical Model of Erythropoiesis (Paperback)

Abu Eisheh Rana

ISBN 10: 3659321885 / ISBN 13: 9783659321887
Editorial: LAP Lambert Academic Publishing, United States, 2013
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Language: English. Brand new Book. The asymptotic stability of a nonlinear system of three differential equations with delay is analyzed, describing the dynamics of red blood cell production. This process is based on the differentiation of stem cells, throughout divisions, into mature blood cells, that in turn control the dynamics of immature cells. Taking into account an explicit role of the mature cell population on the cell proliferation, a characteristic equation with delay dependent coefficients is studied. A necessary and sufficient condition for stability of the zero fixed point is determined. Finally, the existence of a Hopf bifurcation for the only positive fixed point is obtained, leading to the existence of periodic solutions. N° de ref. de la librería KNV9783659321887

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Detalles bibliográficos

Título: Contribution to the Study of a Mathematical ...

Editorial: LAP Lambert Academic Publishing, United States

Año de publicación: 2013

Encuadernación: Paperback

Condición del libro: New

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The asymptotic stability of a nonlinear system of three differential equations with delay is analyzed, describing the dynamics of red blood cell production. This process is based on the differentiation of stem cells, throughout divisions, into mature blood cells, that in turn control the dynamics of immature cells. Taking into account an explicit role of the mature cell population on the cell proliferation, a characteristic equation with delay dependent coefficients is studied. A necessary and sufficient condition for stability of the zero fixed point is determined. Finally, the existence of a Hopf bifurcation for the only positive fixed point is obtained, leading to the existence of periodic solutions.

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