<abstract xmlns="http://www.w3.org/1999/xhtml"><p> For the model of periodic chronic myelogenous leukemia considered by Pujo-Menjouet, Mackey et al., model consisting of two delay differential equations, the equation for the density of so-called “resting cells” was studied from numerical and qualitative point of view in several works. In this paper we focus on the equation for the density of proliferating cells and study it from a qualitative point of view.</p></abstract>

For the model of periodic chronic myelogenous leukemia considered by Pujo-Menjouet, Mackey et al., model consisting of two delay differential equations, the equation for the density of so-called “resting cells” was studied from numerical and qualitative point of view in several works. In this paper we focus on the equation for the density of proliferating cells and study it from a qualitative point of view.

Study of the behaviour of proliferating cells in leukemia modelled by a system of delay differential equations

“Gh. Mihoc-C. Iacob” Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, 13, Calea 13 Septembrie, 050711, Bucharest,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

For the model of periodic chronic myelogenous leukemia considered by Pujo-Menjouet, Mackey et al., model consisting of two delay differential equations, the...

Study of the behaviour of proliferating cells in leukemia modelled by a system of delay differential equations

Publié en ligne: 22 avr. 2017

Pages: 65 - 81

Reçu: 01 nov. 2014

Accepté: 01 janv. 2015

DOI: https://doi.org/10.1515/auom-2015-0048

Mots clés
leukemia model, delay differential equations, qualitative analysis, stability, Hopf bifurcation, Bautin bifurcation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Study of the behaviour of proliferating cells in leukemia modelled by a system of delay differential equations

Publié en ligne: 22 avr. 2017

Pages: 65 - 81

Reçu: 01 nov. 2014

Accepté: 01 janv. 2015

DOI: https://doi.org/10.1515/auom-2015-0048

Mots clésleukemia model, delay differential equations, qualitative analysis, stability, Hopf bifurcation, Bautin bifurcation

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
leukemia model, delay differential equations, qualitative analysis, stability, Hopf bifurcation, Bautin bifurcation