近似繁殖数:年龄结构模型的一般数值方法。

IF 2.6 4区 工程技术 Q1 Mathematics
Simone De Reggi, Francesca Scarabel, Rossana Vermiglio
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引用次数: 0

摘要

在本文中,我们介绍了一种通用数值方法,用于近似计算一大类多群体、年龄结构、有限年龄跨度的人口模型的繁殖数量。为了使出生和过渡过程的定义具有完全的灵活性,我们在扩展空间框架内提出了年龄积分状态的等效表述。然后,我们通过伪谱配位对出生和过渡算子进行离散化。我们讨论了连续和片断连续率的流行病模型的应用,以及年龄变量(如人口年龄、感染年龄和疾病年龄)和传播项(如水平和垂直传播)的不同解释。测试表明,该方法可以计算不同的繁殖数,包括作为特例的基本繁殖数和类型繁殖数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Approximating reproduction numbers: a general numerical method for age-structured models.

In this paper, we introduce a general numerical method to approximate the reproduction numbers of a large class of multi-group, age-structured, population models with a finite age span. To provide complete flexibility in the definition of the birth and transition processes, we propose an equivalent formulation for the age-integrated state within the extended space framework. Then, we discretize the birth and transition operators via pseudospectral collocation. We discuss applications to epidemic models with continuous and piecewise continuous rates, with different interpretations of the age variable (e.g., demographic age, infection age and disease age) and the transmission terms (e.g., horizontal and vertical transmission). The tests illustrate that the method can compute different reproduction numbers, including the basic and type reproduction numbers as special cases.

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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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