Numerical investigation of the Bautin bifurcation in a delay differential equation modeling leukemia
arXiv:1208.1707
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.
To be presented at CAIM 2012 (Conference on Applied and Industrial Mathematics), 23-25 August 2012, Chisinau, Republic of Moldova