A modified Susceptible-Infected-Recovered epidemiological model

IF 0.5 Q3 MATHEMATICS
I. Bica, Zhichun Zhai, Rui Hu
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引用次数: 0

Abstract

"Objectives This paper proposes an infectious disease model incorporating two new model compartments, hospitalization, and intensive care unit. Methods The model dynamics are analyzed using the local and global stability theory of nonlinear systems of ordinary differential equations. For the numerical simulations, we used the Rosenbrock method for stiff initial value problems. We obtained numerical simulations using MAPLE software. The returned MAPLE procedure was called only for points inside the range on which the method evaluated the numerical solution of the system with specified initial conditions. Results We proposed a new model to describe the dynamics of microparasitic infections. Numerical simulations revealed that the proposed model fitted with the expected behaviour of mi- croparasitic infections with ”acute epidemicity.” The numerical simulations showed consistency in the behaviour of the system. Conclusions The model proposed has ”robust” dynamics, supported by the global stability of its endemic state and the consistency of the numerical simulations regarding the model’s timeevolution behaviour. The introduction of the hospitalization and intensive care unit compartments in the proposed model revealed that it is essential to consider such policies in the case of ”acuteepidemicity” of microparasitic infections."
一种改良的易感-感染-康复流行病学模型
本文提出了一种包含住院和重症监护室两个新的模型室的传染病模型。方法利用常微分方程非线性系统的局部稳定性和全局稳定性理论对模型动力学进行分析。在数值模拟中,我们使用Rosenbrock方法求解刚性初值问题。我们使用MAPLE软件进行了数值模拟。返回的MAPLE过程只对该方法在给定初始条件下计算系统数值解的范围内的点调用。结果我们提出了一个描述微寄生虫感染动态的新模型。数值模拟结果表明,所提出的模型符合具有“急性流行”的交叉寄生虫感染的预期行为。数值模拟显示了系统行为的一致性。该模型具有“鲁棒”动力学,其地方性状态的全球稳定性和关于模型时间演化行为的数值模拟的一致性支持了该模型。在提出的模型中引入住院和重症监护病房的情况表明,在微寄生虫感染的“急性流行”情况下,必须考虑这些政策。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.10
自引率
10.00%
发文量
18
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