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埃博拉病毒模型的分数动力学分析。

Analysis for fractional dynamics of Ebola virus model.

作者信息

Singh Harendra

机构信息

Department of Mathematics, Post-Graduate College, Ghazipur 233001, Uttar Pradesh, India.

出版信息

Chaos Solitons Fractals. 2020 Sep;138:109992. doi: 10.1016/j.chaos.2020.109992. Epub 2020 Jun 16.

DOI:10.1016/j.chaos.2020.109992
PMID:32565622
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7297191/
Abstract

Ebola virus is very challenging problem of the world. The main purpose of this work is to study fractional Ebola virus model. An efficient computational method based on iterative scheme is proposed to solve fractional Ebola model numerically. Stability of proposed method is also discussed. Efficiency of proposed method is shown by listing CPU time. Proposed computational method will work for long time domain. Numerical results are presented graphically. The main reason for using this technique is low computational cost and high accuracy. It is also shown how the approximate solution varies for fractional and integer order Ebola virus model.

摘要

埃博拉病毒是世界上极具挑战性的问题。这项工作的主要目的是研究分数阶埃博拉病毒模型。提出了一种基于迭代格式的有效计算方法来对分数阶埃博拉模型进行数值求解。还讨论了所提方法的稳定性。通过列出CPU时间展示了所提方法的效率。所提计算方法适用于长时间域。数值结果以图形方式给出。使用该技术的主要原因是计算成本低且精度高。还展示了分数阶和整数阶埃博拉病毒模型的近似解是如何变化的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/f4b88bd0e6f8/gr9_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/daaa3f4af8fc/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/a46d00788f5a/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/98d3e0c40699/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/afb27defd54c/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/29ffd373cdbd/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/33c92aac0628/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/96ade02c6b88/gr7_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/3a74a8e516d3/gr8_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/f4b88bd0e6f8/gr9_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/daaa3f4af8fc/gr1_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/a46d00788f5a/gr2_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/98d3e0c40699/gr3_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/afb27defd54c/gr4_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/29ffd373cdbd/gr5_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/33c92aac0628/gr6_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/96ade02c6b88/gr7_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/3a74a8e516d3/gr8_lrg.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1d2c/7297191/f4b88bd0e6f8/gr9_lrg.jpg

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The Pathogenesis of Ebola Virus Disease.埃博拉病毒病的发病机制。
Annu Rev Pathol. 2017 Jan 24;12:387-418. doi: 10.1146/annurev-pathol-052016-100506.
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