Mathematical analysis of a B-cell chronic lymphocytic leukemia model with immune response. (English) Zbl 1524.92027
Summary: 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.
MSC:
| 92C32 | Pathology, pathophysiology |
| 92C37 | Cell biology |
| 34A34 | Nonlinear ordinary differential equations and systems |
| 34D20 | Stability of solutions to ordinary differential equations |
References:
| [1] | Nanda, S., dePillis, L., Radunskaya, A., (2013) B cell chronic lymphocytic leukemia - a model with immune response, Discrete and Continuous Dynamical Systems, B, 18(4), 1053-1076. · Zbl 1277.92017 |
| [2] | Perko, L., (1991) Differential Equations and Dynamic Systems, Springer Verlag. · Zbl 0717.34001 |
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