Rasha M. Yaseen , Nidal F. Ali , Ahmed A. Mohsen , Aziz Khan , Thabet Abdeljawad
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引用次数: 0
摘要
本研究对无症状带菌者的霍乱模型进行了研究。霍林 II 型功能响应函数被用来描述疾病的传播。为分析霍乱疾病的动力学行为,建立了一个分数阶模型。首先,确定了系统解的实在性和有界性。还分析了平衡点的局部稳定性。其次,利用 Lyapunov 函数构建了该系统在地方病和无病平衡点上的全局渐进稳定性。最后,利用 matlab 软件进行了数值模拟和敏感性分析,以证明所获结果的准确性和有效性。
The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation
In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system’s solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.