猴痘模型的数学建模和分析

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS
I. Smouni, Abdelbar EL Mansouri, B. Khajji, A. Labzai, M. Belam, Y. Tidli
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引用次数: 0

摘要

. 在这项工作中,我们提出了猴痘感染的连续数学模型SEIQR。研究了该模型的动力学行为,讨论了系统的基本性质。通过构造Lyapunov函数并使用Routh-Hurwitz准则,对模型进行了稳定性分析,证实了当r0 < 1时,系统在自由平衡点e0处是全局渐近稳定的,同时也是局部渐近稳定的。当R为0 > 1时,系统存在地方性平衡点E∗,并且系统在地方性平衡点E∗处是全局和局部渐近稳定的。此外,我们对模型参数进行敏感性分析,以确定对繁殖数r0有显著影响的参数。最后,利用Matlab进行了数值模拟,验证了理论分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mathematical modeling and analysis of a monkeypox model
. In this work, we present a continuous mathematical model, SEIQR, for monkeypox infection. We study the dynamical behaviour of this model and discuss the basic properties of the system. By constructing Lyapunov functions and using Routh-Hurwitz criteria, the stability analysis of the model confirms that the system is globally, as well as locally, asymptotically stable at the free equilibrium E 0 when R 0 < 1. When R 0 > 1, the endemic equilibrium E ∗ exists, and the system is globally, as well as locally, asymptotically stable at the endemic equilibrium E ∗ . Additionally, we conduct a sensitivity analysis of the model parameters to identify the parameters that have a significant impact on the reproduction number R 0 . Finally, we perform numerical simulations to confirm the theoretical analysis using Matlab.
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来源期刊
Communications in Mathematical Biology and Neuroscience
Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-
CiteScore
2.10
自引率
15.40%
发文量
80
期刊介绍: Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.
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