Free Boundary Problem for a Nonlocal Diffusive SIR Epidemic Model Incorporating Media Coverage and Hospital Bed Numbers

ABSTRACT In this paper, we investigate a nonlocal diffusion SIR epidemic model with double free boundaries, where the infection rate and the recovery rate have been affected by media coverage and the number of hospital beds, respectively. We first give the existence and uniqueness of a global solutions, and then study the long‐time behaviors and sufficient conditions for the disease spreading and vanishing.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-01-14
DOI
https://doi.org/10.1002/mma.70473
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
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article

Free Boundary Problem for a Nonlocal Diffusive SIR Epidemic Model Incorporating Media Coverage and Hospital Bed Numbers

Q. Zhang, Lu Tan
Mathematical Methods in the Applied Sciences
Mathematical and Theoretical Epidemiology and Ecology Models
article

Free Boundary Problem for a Nonlocal Diffusive SIR Epidemic Model Incorporating Media Coverage and Hospital Bed Numbers

Q. Zhang, Lu Tan
article en

Abstract

ABSTRACT In this paper, we investigate a nonlocal diffusion SIR epidemic model with double free boundaries, where the infection rate and the recovery rate have been affected by media coverage and the number of hospital beds, respectively. We first give the existence and uniqueness of a global solutions, and then study the long‐time behaviors and sufficient conditions for the disease spreading and vanishing.

Mathematical Methods in the Applied Sciences
Tiangong University (CN)
Good health and well-being
Openalex Percentile: Top 89%
Mathematical and Theoretical Epidemiology and Ecology Models
DOISourceOpenAlex
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Free Boundary Problem for a Nonlocal Diffusive SIR Epidemic Model Incorporating Media Coverage and Hospital Bed Numbers — Q. Zhang, Lu Tan · Mathematical Methods in the Applied Sciences (2026) | TGRS Research Map | TGRS