Work

Numerical Approximation of a Nonlinear Age-Structured Population Model with Finite Life-Span

Year: 2025

Type: article

Abstract: We introduce a numerical method which is developed to approach the solution to a nonlinear age-structured population model with a finite life-span. The new scheme employs given numerical approximations to the intrinsic survival probability to set a full discretization of the problem, in which the numerical approach to the age-specific density of the population is separated from the difficulties arising due to the singular mortality rate. Its convergence is completely established without an explicit dependence on the asymptotic behaviour of the natural mortality rate near the maximum age. We include a numerical experimentation that confirms numerically the second-order convergence of the approximations provided by the corresponding theorems.

Source: Journal of Scientific Computing

DOI: 10.1007/s10915-025-03025-6

Authors: Luis M. Abia, Óscar Angulo, Juan Carlos López-Marcos, Miguel Ángel López-Marcos

Institution: Universidad de Valladolid

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Universidad de Valladolid, Junta de Castilla y León, Agencia Estatal de Investigación