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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 2/2023

11.11.2022 | Original Research

Dynamical analysis for an age-structured model of eating disorders

verfasst von: Wenhao Dai, Hailiang Zhang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 2/2023

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Abstract

This paper investigates the diffusion of eating disorders by constructing an age-structured model with an age-dependent diffusion coefficient. Compared with earlier articles, we introduce the process of re-susceptibility and consider the role of education, which is equivalent to vaccination, without permanent immunity to eating disorders. We also demonstrate the existence of a unique positive solution for this non-local model by using the semigroup theory. Furthermore, the local and global stability of the disease-free equilibrium state is examined when the effective reproduction number satisfies certain conditions, which is theoretically important and meaningful in controlling the development of eating disorders. Several numerical simulations support our theoretical analysis and reveal how education and medical resources affect the distribution of eating disorders.
Vorheriger Artikel Analysis of finite difference schemes for Volterra integro-differential equations involving arbitrary order derivatives
Nächster Artikel Existence, uniqueness and stability of positive periodic solutions for an iterative Nicholson’s blowflies equation

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Metadaten
Titel
Dynamical analysis for an age-structured model of eating disorders
verfasst von
Wenhao Dai
Hailiang Zhang
Publikationsdatum
11.11.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 2/2023
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-022-01814-y

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