Hybrid mathematical model of leukemic diseases

被引：0
|
作者：
Zettam, Manel Yousra [1 ]
Bouizem, Mohammed [2 ,3 ]
Djellouli, Ghaouti [4 ]
Lakmeche, Abdelkader [2 ]
机构：
[1] Univ Tlemcen, Lab Dynam Syst & Applicat, BP 119, Tilimsen 13000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Biomath, BP 89, Sidi Bel Abbes 22000, Algeria
[3] Univ Tlemcen, Fac Sci, Dept Math, BP 119, Tilimsen 13000, Algeria
[4] Univ Saida, Fac Sci, Dept Biol, BP 138, Saida 20000, Algeria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 495卷 / 02期
关键词：
Chronic myeloid leukemia; Hybrid mathematical model; Partial differential equation; Ordinary differential equation; Steady states; Stability; THERAPY;
D O I：
10.1016/j.jmaa.2020.124731
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a hybrid mathematical model of leukemic diseases. The model is constituted by a partial differential equation describing the evolution of normal hematopoietic stem cells and a differential equation describing the evolution of leukemic stem cells. We study the existence of steady states and their stability, and we provide some simulations to illustrate our results. (C) 2020 Elsevier Inc. All rights reserved.
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页数：16
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