Communications - Scientific Letters of the University of Zilina 2012, 14(3):78-83 | DOI: 10.26552/com.C.2012.3.78-83

Dynamics of Haematopoietic Stem Cells Model

Julia Stoberova1
1 Department of Crisis Management, Faculty of Special Engineering, University of Zilina, Slovakia

The article deals with the haematopoietic stem cells model with delay introduced by M. C. Mackey [1]. Our aim is to establish the new conditions under which the equilibria of the model are stable or unstable. The model without delay is also investigated.

Keywords: haematopoietic stem cells, equilibrium, stability, differential system, delay argument

Published: September 30, 2012  Show citation

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Stoberova, J. (2012). Dynamics of Haematopoietic Stem Cells Model. Communications - Scientific Letters of the University of Zilina, 14(3), 78-83. doi: 10.26552/com.C.2012.3.78-83
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    References

    1. MACKEY, M. C.: Unified Hypothesis for the Origin Aplastic Anemia and the Periodic Hematopoietics, Blood 51, 5 (1978). Go to original source...
    2. TALIBI ALAOUI, H., YAFIA, R.: Stability and Hopf Bifurcation in an Approachable Haematopoietic Stem Cells Model, Mathematical Biosciences. 206 (2007), pp. 176-184. Go to original source...
    3. DOROCIAKOVA, B., OLACH, R.: Existence of Positive Solutions of Delay Differential Equations, Tatra Mt. Math. Publ. 43, 2009, pp. 63-70. Go to original source...
    4. LEVIN, S. A., HALLAM, T. G., GROSS, L. J.: Applied Mathematical Ecology, Springer - Verlag, Berlin : New York : London : Tokyo, 1989. Go to original source...
    5. MARUSIAK, P., OLACH, R.: Functional Differential Equations (in Slovak). EDIS - University of Zilina, 2000.
    6. OLACH, R.: Observation of a Feedback Mechanism in a Population Model, Nonlinear Analysis, 41 (2000), pp. 539-544. Go to original source...

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