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Journal of Applied Mathematics and Computing

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11-11-2022 | Original Research

Dynamical analysis for an age-structured model of eating disorders

Authors: Wenhao Dai, Hailiang Zhang

Published in: Journal of Applied Mathematics and Computing | Issue 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.

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Title: Dynamical analysis for an age-structured model of eating disorders
Authors: Wenhao Dai
Hailiang Zhang
Publication date: 11-11-2022
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 2/2023
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-022-01814-y

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