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Zbl 1221.37181
Fan, Dejun; Wei, Junjie
Bifurcation analysis of discrete survival red blood cells model. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 8, 3358-3368 (2009). ISSN 1007-5704

Summary: A discrete survival red blood cells model with delay is considered. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation and then the existence of Neimark-Sacker and flip bifurcations are verified. Subsequent to that, the direction and stability of the Neimark-Sacker and flip bifurcations are determined by using the normal form theory and center manifold theorem. Finally, some numerical simulations are carried out to support the results of mathematical analysis.

MSC 2000:: *37N25 Dynamical systems in biology
92D25 Population dynamics
39A10 Difference equations

Keywords: discrete survival blood cells model; Neimark-Sacker bifurcation; flip bifurcation

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Zentralblatt MATH Berlin [Germany]