Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 2


Published
on

December 26, 2019


Pages

551-558


DOI

Article

Mathematical analysis of a B-cell chronic lymphocytic leukemia model with immune response

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Authors

Youcef Belgaid Affiliation:
Biomathematics Laboratory, Univ Sidi-Bel-Abbés, Sidi-Bel-Abbès, Algeria
, Mohamed Helal Affiliation:
Biomathematics Laboratory, Univ Sidi-Bel-Abbés, Sidi-Bel-Abbès, Algeria
and Ezio Venturino Affiliation:
GNCS Research Group of the INdAM, Dipartimento di Matematica “Giuseppe Peano” Universita’ di Torino, Torino, Italy


Abstract

A B-cell chronic lymphocytic leukemia has been modeled via a highly nonlinear system of ordinary differential equations. We consider the rather important theoretical question of the equilibria existence. Under suitable assumptions all model populations are shown to coexist.


Keywords

Leukemia, Descartes rule, Local stability, AMS 2010 MSC primary, 92D40, secondary, 92D25, 92D30


Citation

Belgaid, Y., Helal, M., & Venturino, E. (2019). Mathematical analysis of a b-cell chronic lymphocytic leukemia model with immune response. Applied Mathematics and Nonlinear Sciences, 4(2), 551–558. https://doi.org/10.2478/AMNS.2019.2.00052

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