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关于非局部流行病的分数阶微分方程模型。

On fractional order differential equations model for nonlocal epidemics.

作者信息

Ahmed E, Elgazzar A S

机构信息

Mathematics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt.

Mathematics Department, Faculty of Science, Al-Jouf University, P.O. Box 2014, Sakaka, Al-Jouf, Saudi Arabia.

出版信息

Physica A. 2007 Jun 15;379(2):607-614. doi: 10.1016/j.physa.2007.01.010. Epub 2007 Feb 16.

DOI:10.1016/j.physa.2007.01.010
PMID:32288079
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7125871/
Abstract

A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.

摘要

给出了一个用于非局部流行病的分数阶模型。研究了分数阶方程的稳定性。这些结果有望与口蹄疫、非典和禽流感相关。

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本文引用的文献

1
Memory effects and macroscopic manifestation of randomness.记忆效应与随机性的宏观表现。
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 May;61(5 Pt A):4752-9. doi: 10.1103/physreve.61.4752.
2
Stochastic and deterministic models for SIS epidemics among a population partitioned into households.针对划分为家庭的人群中SIS传染病的随机模型和确定性模型。
Math Biosci. 1999 Mar 1;156(1-2):41-67. doi: 10.1016/s0025-5564(98)10060-3.