Numerical approximation of finite life‐span age‐structured population models

Considering unbounded mortality rates causes difficulties in the numerical simulation of finite life‐span population models. In this work, a suitable numerical technique is introduced in order to approximate the density solution of this kind of problems. This procedure isolates the principal complic...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 45; no. 6; pp. 3272 - 3283
Main Authors Abia, Luis María, Angulo, Óscar, López‐Marcos, Juan Carlos, López‐Marcos, Miguel Ángel
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.04.2022
Subjects
age‐structured population
Approximation
characteristics method
convergence analysis
finite life‐span
Mathematical analysis
Mathematical models
Numerical methods
Survival
survival probability
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Summary:Considering unbounded mortality rates causes difficulties in the numerical simulation of finite life‐span population models. In this work, a suitable numerical technique is introduced in order to approximate the density solution of this kind of problems. This procedure isolates the principal complication for the problem: the approximation of the survival probability. Therefore, assuming second‐order approximations to the survival probability, we propose a numerical method for the age‐structured population model with the same order of convergence. The accuracy of the numerical approximations is proved and numerically illustrated.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7136