New results concerning the stability of equilibria of a delay differential equation modeling leukemia

Details New results concerning the stability of equilibria of a delay differential equation modeling leukemia New results concerning the stability of equilibria of a delay differential equation modeling leukemia

2010-01-26

arxiv.org/abs/1001.4658v1

Mathematics

Dynamical Systems

Presented at 12th Symposium of Mathematics and its Applications, 5-7 November 2009, Timisoara, Romania - a shortened form will

Scientific paper

The paper is devoted to the study of stability of equilibrium solutions of a delay differential equation that models leukemia. The equation was previously studied in [5] and [6], where the emphasis is put on the numerical study of periodic solutions. Some stability results for the equilibria are also presented in these works, but they are incomplete and contain some errors. Our work aims to complete and to bring corrections to those results. Both Lyapunov first order approximation method and second Lyapunov method are used.

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