Ghanbari Behzad
Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran.
Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahçeşehir University, 34349 Istanbul, Turkey.
Adv Differ Equ. 2020;2020(1):536. doi: 10.1186/s13662-020-02993-3. Epub 2020 Sep 29.
In this article, we examine a computational model to explore the prevalence of a viral infectious disease, namely hand-foot-mouth disease, which is more common in infants and children. The structure of this model consists of six sub-populations along with two delay parameters. Besides, by taking advantage of the Atangana-Baleanu fractional derivative, the ability of the model to justify different situations for the system has been improved. Discussions about the existence of the solution and its uniqueness are also included in the article. Subsequently, an effective numerical scheme has been employed to obtain several meaningful approximate solutions in various scenarios imposed on the problem. The sensitivity analysis of some existing parameters in the model has also been investigated through several numerical simulations. One of the advantages of the fractional derivative used in the model is the use of the concept of memory in maintaining the substantial properties of the understudied phenomena from the origin of time to the desired time. It seems that the tools used in this model are very powerful and can effectively simulate the expected theoretical conditions in the problem, and can also be recommended in modeling other computational models in infectious diseases.
在本文中，我们研究了一个计算模型，以探究一种病毒性传染病——手足口病的流行情况，该病在婴幼儿中更为常见。该模型的结构由六个亚群体以及两个延迟参数组成。此外，通过利用阿坦加纳 - 巴莱努分数阶导数，该模型对系统不同情况的论证能力得到了提高。文章还包含了关于解的存在性及其唯一性的讨论。随后，采用了一种有效的数值格式，以在施加于该问题的各种情形下获得几个有意义的近似解。还通过若干数值模拟对模型中一些现有参数进行了敏感性分析。该模型中使用的分数阶导数的优点之一是利用记忆概念，从时间起点到所需时间维持所研究现象的实质特性。看来该模型中使用的工具非常强大，能够有效地模拟问题中的预期理论条件，并且在传染病其他计算模型的建模中也值得推荐。
