The role of the net reproduction rates on the persistence of leukemia

Authors

  • Biomathematics Laboratory, Univ. Sidi Bel-Abbes, P.B. 89, 22000 Algeria & Mathematics Department, Univ. Tlemcen, P.B. 119, 13000 Algeria,
  • Biomathamatics Laboratory, University Djillali Liabes of Sidi Bel Abbes, Algeria, 22000
  • IMB, UMR CNRS 5251, Univ. Bordeaux, 33076 France
  • Biomathematics Laboratory, Univ. Sidi Bel-Abbes, P.B. 89, 22000 Algeria

Abstract

In this work, we consider a mathematical model containing three partial differential equations describing the dynamics of hematopoietic stem cell population in the chronic myeloid leukemia. The model describes the evolution of normal, leukemic and resistant leukemic hematopoietic stem cells. We investigate conditions for existence and stability of steady states, we note the role of the net reproduction rates on the existence and the stability of the steady states of the model considered. Finally, numerical simulations are given to illustrate our results.

Downloads

Published

2020-08-23

Issue

Vol. 27 No. 3 (2020): Nonlinear Studies (NS)

Section

Articles

How to Cite

The role of the net reproduction rates on the persistence of leukemia. (2020). Nonlinear Studies, 27(3). https://nonlinearstudies.com/index.php/nonlinear/article/view/2131