利用Caputo-Fabrizio算子的分数阶布鲁氏菌病模型的传播动力学

IF 1.4 Q2 MATHEMATICS, APPLIED
Olumuyiwa James Peter
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引用次数: 21

摘要

本文采用Caputo–Fabrizio非整数阶算子建立了非整数阶布鲁氏菌病模型。对于这样一种生物现象,非整数阶微积分的方法是相当新的。利用不动点理论,建立了模型的存在性、唯一性和稳定性条件。应用迭代拉普拉斯变换技术,导出了该模型的初始近似解。最后,对分析结果进行了数值模拟,以可视化控制感染动力学的各种参数的影响,并使用绘图显示结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
In this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the fixed-point theory. The initial approachable approximate solutions are derived for the proposed model by applying the iterative Laplace transform technique. Finally, numerical simulations are conducted for the analytical results to visualize the effect of various parameters that govern the dynamics of infection, and the results are presented using plots.
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来源期刊
CiteScore
3.10
自引率
0.00%
发文量
20
审稿时长
20 weeks
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