Bautin bifurcation in a minimal model of immunoediting
Dynamical Systems
2018-07-04 v1
Abstract
One of the simplest model of immune surveillance and neoplasia was proposed by Delisi and Resigno. Later Liu et al proved the existence of non-degenerate Takens-Bogdanov bifurcations defining a surface in the whole set of five positive parameters. In this paper we prove the existence of Bautin bifurcations completing the scenario of possible codimension two bifurcations that occur in this model. We give an interpretation of our results in terms of the three phases immunoediting theory:elimination, equilibrium and escape.
Cite
@article{arxiv.1807.00953,
title = {Bautin bifurcation in a minimal model of immunoediting},
author = {Joaquín Delgado and Eymard Hernández and Lucía Ivonne Hernández-Martínez},
journal= {arXiv preprint arXiv:1807.00953},
year = {2018}
}
Comments
22 pages, 17 figures