The principal eigenvalue of an age-structured operator with diffusion and advection: qualitative analysis and an application
Abstract
Abstract In this paper, we investigate an eigenvalue problem associated with an age-structured operator incorporating random diffusion and advection. Our primary focus is on examining the asymptotic behaviours of the principal eigenvalue with respect to large advection and small or large diffusion rates. We subsequently apply these results to a nonlinear age-structured model, providing a better understanding of how diffusion and advection influence the spatial distribution of species. Among other ingredients, our approach involves constructing various types of super- and sub-solutions to tackle the novel challenges posed by the nonlocal terms in the problems under consideration.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Biology Tumor Growth
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Nonlinearity
- Publisher
- IOP Publishing
- Volume
- 39
- Issue
- 2
- Pages
- 025008–025008
- Publication date
- 17 February 2026