Nonlinear Dynamics of a Piecewise Modified ABC Fractional-Order Leukemia Model with Symmetric Numerical Simulations
Nonlinear Dynamics of a Piecewise Modified ABC Fractional-Order Leukemia Model with Symmetric Numerical Simulations
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具有对称数值模拟的分段修正 ABC 分数阶白血病模型的非线性动力学
DOI：
10.3390/sym15071338
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Haseena Gulzar
中科院分区：
文献类型：
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作者：
H. Khan;J. Alzabut;Wafa F. Alfwzan;Haseena Gulzar
在这项研究中，我们引入了一个分段修正的ABC分数阶导数的非线性白血病动力系统，并对其进行了理论分析和计算，检验了该模型的交叉效应。对于算子的交叉行为，我们假设将研究周期[0，T2]分成两个子类I1=[0，T1]，I2=[T1，T2]，对于具有T1和T2的∈R。在I1中，经典导数被用来研究白血病的生长，而在I2中，我们假定修正的ABC分数次微分算子。因此，研究是在动力系统的分段修正ABC导数意义下开始的。然后对所构造的模型的解的存在性和稳定性以及计算结果进行了研究。在所给出的六个曲线图中，可以用图形观察到这三个类别在动力学上的对称性。
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,t2] in two subclasses as I1=[0,t1], I2=[t1,t2], for t1,t2∈R with t1<t2. In I1, the classical derivative is considered for the study of the leukemia growth while in I2 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.