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A Complete Model of Crimean-Congo Hemorrhagic Fever (CCHF) Transmission Cycle with Nonlocal Fractional Derivative
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2021-06-29 , DOI: 10.1155/2021/1273405
Hakimeh Mohammadi, Mohammed K. A. Kaabar, Jehad Alzabut, A. George Maria Selvam, Shahram Rezapour

Crimean-Congo hemorrhagic fever is a common disease between humans and animals that is transmitted to humans through infected ticks, contact with infected animals, and infected humans. In this paper, we present a boxed model for the transmission of Crimean-Congo fever virus. With the help of the fixed-point theory, our proposed system model is investigated in detail to prove its unique solution. Given that the Caputo fractional-order derivative preserves the system’s historical memory, we use this fractional derivative in our modeling. The equilibrium points of the proposed system and their stability conditions are determined. Using the Euler method for the Caputo fractional-order derivative, we calculate the approximate solutions of the fractional system, and then, we present a numerical simulation for the transmission of Crimean-Congo hemorrhagic fever.

中文翻译:

具有非局部分数导数的克里米亚-刚果出血热 (CCHF) 传播循环的完整模型

克里米亚-刚果出血热是一种人与动物之间的常见疾病,通过受感染的蜱、接触受感染的动物和受感染的人传播给人类。在本文中,我们提出了一个用于克里米亚-刚果热病毒传播的盒装模型。借助不动点理论,我们对我们提出的系统模型进行了详细研究,以证明其唯一解决方案。鉴于 Caputo 分数阶导数保留了系统的历史记忆,我们在建模中使用了这个分数阶导数。确定了建议系统的平衡点及其稳定性条件。对 Caputo 分数阶导数使用 Euler 方法,我们计算分数系统的近似解,然后,
更新日期:2021-06-29
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