| Modeling of B cells leukemia using system of fractional ordinary differential equations |
| کد مقاله : 1040-SLAA10 |
| نویسندگان |
|
Yasin Fadaei *1، Ali Ahmadi2، Ali Ansari Ardali3 1Modeling in Health Research Center, Shahrekord University of Medical Sciences, Shahrekord, Iran 2Modeling in Health Research Center, Shahrekord University of Medical Sciences, Shahrekord, Iran. 3Department of Applied Mathematics and Computer Sciences, Shahrekord University, P. O. Box 115, Shahrekord, Iran. |
| چکیده مقاله |
| In this paper, a mathematical model has been developed for describing the behavior and interactions between B leukemia cells and three components of immune system. The model has been presented using a system of fractional ordinary differential equations (FODEs). Dynamics of the system are studied by determining eigenvalues of Jacobian matrix of the system at equilibrium points and the stability status of them. Bifurcation analysis showed that use of the fractional-order model figure out unpredictable behaviors of the system such as $bistability$ and $Hysteresis$ $Phenomenon$. |
| کلیدواژه ها |
| Fractional ordinary differential equations, Chronic lymphocytic leukemia, Stability analysis, Bifurcation. |
| وضعیت: پذیرفته شده مشروط برای ارائه به صورت پوستر |