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A nonstandard finite difference scheme for an SEIQR epidemiological PDE mode
Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi
https://arxiv.org/abs/2508.02928 https://…

A nonstandard finite difference scheme for an SEIQR epidemiological PDE mode
This paper introduces a nonstandard finite difference (NSFD) approach to a reaction-diffusion SEIQR epidemiological model, which captures the spatiotemporal dynamics of infectious disease transmission. Formulated as a system of semilinear parabolic partial differential equations (PDEs), the model extends classical compartmental models by incorporating spatial diffusion to account for population movement and spatial heterogeneity. The proposed NSFD discretization is designed to preserve the cont…