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Your search keyword '"Hernández-Martínez, Lucía Ivonne"' showing total 9 results
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2. Bautin bifurcation in a minimal model of immunoediting

Author

Delgado, Joaquín, Hernández, Eymard, and Hernández-Martínez, Lucía Ivonne

Subjects
Mathematics - Dynamical Systems, 34C23, 34C60 (Primary) 37G15 (Secondary)
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., Comment: 22 pages, 17 figures

Published
2018

5. Bautin bifurcation in a minimal model of immunoediting.

Author

Delgado, Joaquín, Hernández–López, Eymard, and Hernández–Martínez, Lucía Ivonne

Subjects
EQUILIBRIUM, ESCAPES, YANG-Baxter equation
Abstract

One of the simplest model of immune surveillance and neoplasia was proposed by Delisi and Resigno [6]. Later Liu et al [10] proved the existence of non-degenerate Takens-Bogdanov (BT) 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 Immuno Edition Theory (IET) of three phases: elimination, equilibrium and escape. [ABSTRACT FROM AUTHOR]

Published
2020
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