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分数阶多步差分变换法用于近似具有不完全疫苗接种的分数阶随机 SIS 传染病模型。

Fractional Multi-Step Differential Transformed Method for Approximating a Fractional Stochastic SIS Epidemic Model with Imperfect Vaccination.

机构信息

Preparatory Year Deanship, King Faisal University, 31982 Hofuf, Al-Hasa, Saudi Arabia.

Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey.

出版信息

Int J Environ Res Public Health. 2019 Mar 18;16(6):973. doi: 10.3390/ijerph16060973.

DOI:10.3390/ijerph16060973
PMID:30889889
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6466391/
Abstract

In this paper, we applied a fractional multi-step differential transformed method, which is a generalization of the multi-step differential transformed method, to find approximate solutions to one of the most important epidemiology and mathematical ecology, fractional stochastic SIS epidemic model with imperfect vaccination, subject to appropriate initial conditions. The fractional derivatives are described in the Caputo sense. Numerical results coupled with graphical representations indicate that the proposed method is robust and precise which can give new interpretations for various types of dynamical systems.

摘要

在本文中,我们应用了分数多步微分变换方法,这是多步微分变换方法的推广,以找到一个最重要的流行病学和数学生态学的近似解,分数随机 SIS 传染病模型与不完全疫苗接种,在适当的初始条件下。分数导数用 Caputo 意义来描述。数值结果与图形表示相结合表明,所提出的方法是稳健和精确的,可以为各种类型的动力系统提供新的解释。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/e2e7fa946e8a/ijerph-16-00973-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/0169681f84d7/ijerph-16-00973-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/5d83a71a7ff8/ijerph-16-00973-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/e2e7fa946e8a/ijerph-16-00973-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/0169681f84d7/ijerph-16-00973-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/5d83a71a7ff8/ijerph-16-00973-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/107f/6466391/e2e7fa946e8a/ijerph-16-00973-g003.jpg

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