Free Boundary Problem for a Nonlocal Diffusive SIR Epidemic Model Incorporating Media Coverage and Hospital Bed Numbers
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.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
COVID-19 epidemiological studies
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 8
- Pages
- 8288–8302
- Publication date
- 14 January 2026
- Language
- EN