Irina Badralexi†, Silvia Balea‡, Andrei Halanay§, Dumitru Jardan¶, Rodica RădulescuΠ
Abstract: The model studied in this paper describes the competitive interaction between healthy and malignant cells in leukemia with the involvement of the immune system. The model consists of 9 delay-differential equations with 9 delays. Local stability is investigated for the equilibrium points of the system. Lyapunov-Krasovskii functionals related to some of these points are constructed. The evolution of the disease is studied numerically within different scenarios that show that some particular circumstances can lead to recovery. This can be an important support for combined therapies that trigger the leukemia and at the same time stimulate the action of the immune system.
MSC: 34K20, 92D25, 92C50
keywords: delay differential equations, stability, chronic myelogenous leukemia, CD8+cytotoxic T-cells
DOI 10.56082/annalsarscimath.2020.1-2.24
†irina.badralexi@gmail.com Department of Mathematical Methods and Models, Univ. Politehnica of Bucharest, Splaiul Independentei 313, RO-060042, Bucharest, Romania
‡silviabalea3@gmail.com Department of Mathematics and Informatics, Univ. Politehnica of Bucharest, Splaiul Independentei 313, RO-060042, Bucharest, Romania
§halanay@mathem.pub.ro Department of Mathematics and Informatics, Univ. Politehnica of Bucharest, Splaiul Independentei 313, RO-060042, Bucharest, Romania
¶d.jardan@gmail.com MedLife clinical hospital, Calea Grivitei 365, RO-010719, Bucharest, Romania
Πnicola rodica@yahoo.com Department of Mathematical Methods and Models, Univ. Politehnica of Bucharest, Splaiul Independentei 313, RO-060042, Bucharest, Romania
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 12 no 1-2, 2020
