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arXiv · 1208.1707

Numerical investigation of the Bautin bifurcation in a delay differential equation modeling leukemia

Anca Veronica Ion·Raluca Mihaela Georgescu
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Abstract

In a previous work we investigated the existence of Hopf degenerate bifurcation points for a differential delay equation modeling leukemia and we actually found Hopf points of codimension two for the considered problem. If around the parameters corresponding to such a point we vary two parameters (the considered problem has five parameters), then a Bautin bifurcation should occur. In this work we chose a Hopf point of codimension two for the considered problem and perform numerical integration for parameters chosen in a neighborhood of the bifurcation point parameters. The results show that, indeed, we have a Bautin bifurcation in the chosen point.

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Anca Veronica Ion, Raluca Mihaela Georgescu. 2012-08-08. Numerical investigation of the Bautin bifurcation in a delay differential equation modeling leukemia. https://arxiv.org/abs/1208.1707

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