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一个使用不动点定理和牛顿多项式插值法的包含受保护旅行者的分数阶猴痘模型。

A fractional order Monkeypox model with protected travelers using the fixed point theorem and Newton polynomial interpolation.

作者信息

Adom-Konadu Agnes, Bonyah Ebenezer, Sackitey Albert Lanor, Anokye Martin, Asamoah Joshua Kiddy K

机构信息

Department of Mathematics, University of Cape Coast, Cape Coast, Ghana.

Department of Mathematics Education, Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana.

出版信息

Healthc Anal (N Y). 2023 Nov;3:100191. doi: 10.1016/j.health.2023.100191. Epub 2023 May 9.

DOI:10.1016/j.health.2023.100191
PMID:37214737
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10167817/
Abstract

This study formulates a Monkeypox model with protected travelers. The fixed point theorem is used to obtain the existence and uniqueness of the solution with Ulam-Hyers stability for the analysis of the solution to the model. The Newton polynomial interpolation scheme is employed to solve an approximate solution of the fractional Monkeypox model. The numerical simulations and the graphical representations suggest that the fractional order affects the dynamics of the Monkeypox. The fractional order shows other underlining transmission trends of the Monkeypox disease. We conclude that the result obtained for each compartment conforms to reality as the fractional order approaches unity.

摘要

本研究构建了一个包含受保护旅行者的猴痘模型。运用不动点定理来获得模型解的存在性和唯一性，并具有Ulam-Hyers稳定性，以用于分析模型的解。采用牛顿多项式插值方案来求解分数阶猴痘模型的近似解。数值模拟和图形表示表明，分数阶影响猴痘的动态变化。分数阶显示了猴痘疾病的其他潜在传播趋势。我们得出结论，当分数阶趋近于1时，每个隔室获得的结果符合实际情况。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/30e6baa26062/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/8bffd4d9d09e/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/ba47b920c5bf/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/123a6a263a1d/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/f768e0c5e60a/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/574088c6a0bb/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/30e6baa26062/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/8bffd4d9d09e/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/ba47b920c5bf/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/123a6a263a1d/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/f768e0c5e60a/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/574088c6a0bb/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fa68/10167817/30e6baa26062/gr6_lrg.jpg

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