Threshold analysis for a diffusive SIS epidemic model with infection-age
Abstract
This study investigates a diffusive infection age-structured SIS epidemic model with a Neumann boundary condition, which is a generalization of the model studied in [Allen et al., Asymptotic profiles of the steady states for an SIS epidemic reaction diffusion model, Discrete and Continuous Dynamical Systems Series A 21 (2008) 1–20]. We define the basic reproduction number R 0 by identifying the next generation operator, and show that for R 0 < 1, the solution tends to a unique disease free steady state, and for R 0 > 1, there is at least one nonnegative steady state.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
COVID-19 epidemiological studies
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Mathematical Biosciences
- Publisher
- Elsevier BV
- Volume
- 399
- Pages
- 109729–109729
- Publication date
- 30 May 2026
- Language
- EN