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- Title
Nonlinear Dynamics of a Piecewise Modified ABC Fractional-Order Leukemia Model with Symmetric Numerical Simulations.
- Authors
Khan, Hasib; Alzabut, Jehad; Alfwzan, Wafa F.; Gulzar, Haseena
- Abstract
In this study, we introduce a nonlinear leukemia dynamical system for a piecewise modified ABC fractional-order derivative and analyze it for the theoretical as well computational works and examine the crossover effect of the model. For the crossover behavior of the operators, we presume a division of the period of study [ 0 , t 2 ] in two subclasses as I 1 = [ 0 , t 1 ] , I 2 = [ t 1 , t 2 ] , for t 1 , t 2 ∈ R with t 1 < t 2 . In I 1 , the classical derivative is considered for the study of the leukemia growth while in I 2 we presume modified ABC fractional differential operator. As a result, the study is initiated in the piecewise modified ABC sense of derivative for the dynamical systems. The novel constructed model is then studied for the solution existence and stability as well computational results. The symmetry in dynamics for all the three classes can be graphically observed in the presented six plots.
- Subjects
LEUKEMIA; DIFFERENTIAL operators; COMPUTER simulation; DYNAMICAL systems; NONLINEAR dynamical systems; BEES algorithm
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 7, p1338
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15071338