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包含系统扩散的流行病模型的数值研究。

Numerical study of epidemic model with the inclusion of diffusion in the system.

作者信息

Naheed Afia, Singh Manmohan, Lucy David

机构信息

Mathematics Discipline, Faculty of Engineering and Industrial Sciences, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia.

出版信息

Appl Math Comput. 2014 Feb 25;229:480-498. doi: 10.1016/j.amc.2013.12.062. Epub 2014 Jan 17.

DOI:10.1016/j.amc.2013.12.062
PMID:32287498
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7112316/
Abstract

This paper deals with the numerical study of population model based on the epidemics of Severe Acute Respiratory Syndrome (). (susceptible, exposed, infected, diagnosed, recovered) model of epidemic is considered with net in flow of individuals into a region. Transmission of disease is analyzed by solving the system of differential equations using numerical methods with different initial population distributions. The effect of diffusion on the spread of disease is examined. Stability is established for the numerical solutions. Effects of interventions (medical and non medical) are also analyzed.

摘要

本文研究基于严重急性呼吸综合征（SARS）疫情的人口模型的数值模拟。考虑了带有个体净流入某区域的（易感、潜伏、感染、确诊、康复）传染病模型。通过使用具有不同初始人口分布的数值方法求解微分方程组来分析疾病传播。研究了扩散对疾病传播的影响。建立了数值解的稳定性。还分析了干预措施（医疗和非医疗）的效果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/636c96159b7d/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/9c3a5f8faa4b/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/1a8154456c98/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/094e4fdf0c1a/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/155890740a5a/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/cb36429d191d/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/1c640ab99692/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/8b52db104842/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/6fe0ad96f889/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/0acdc0ab9c6a/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/636c96159b7d/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/9c3a5f8faa4b/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/1a8154456c98/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/094e4fdf0c1a/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/155890740a5a/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/cb36429d191d/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/1c640ab99692/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/8b52db104842/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/6fe0ad96f889/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/0acdc0ab9c6a/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/414c/7112316/636c96159b7d/gr10.jpg

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