A practical approach to R0 in continuous-time ecological models

被引：25

作者：

Barril, C. ^{[1
]}

Calsina, A. ^{[1
]}

Ripoll, J. ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Spain

[2] Univ Girona, Dept Informat Matemat Aplicada & Estadist, Campus Montilivi, Girona, Spain

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 18期

关键词：

next-generation operator; population dynamics; reproduction number; THRESHOLD; DISEASES; NUMBER;

D O I：

10.1002/mma.4673

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the asymptotic behaviour of the solutions in linear models of population dynamics by means of the basic reproduction number R-0. Our aim is to give a practical approach to the computation of the basic reproduction number in continuous-time population models structured by age and/or space. The procedure is different depending on whether the density of newborns per time unit and the density of population belong to the same functional space or not. Three infinite-dimensional examples are illustrated: a transport model for a cell population, a model of spatial diffusion of individuals in a habitat, and a model of migration of individuals between age-structured local populations. For each model, we have highlighted the possible advantages of computing R-0 instead of the Malthusian parameter.

引用

页码：8432 / 8445

页数：14

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