Work

Global Attraction of Age-Structured Population Models with Diffusion: Reduction of Dimension

Year: 2025

Type: article

Abstract: In this paper, we offer a novel methodology for studying classical age-structured population models with diffusion. Specifically, we show that many dynamical properties of these equations are coded through a suitable discrete equation in one dimension. This “reduction of dimension" allows us to derive sharp criteria for global attraction. The analysis of particular examples shows that our results are achieved under very weak and verifiable conditions.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-025-10429-3

Authors: Alfonso Ruiz-Herrera, Tarik Mohammed Touaoula

Institutions: Universidad de Oviedo, University of Abou Bekr Belkaïd

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: $3,090

Funders: Ministerio de Ciencia, Innovación y Universidades, Universidad de Oviedo