2024/07/12 by Xueping Li, Lei Li, Li, Xueping +3
Mathematics · Medicine · Physics and Astronomy · #Analysis of PDEs (math.AP) #COVID-19 epidemiological studies #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Opinion Dynamics and Social Influence
paper · pdf · doi:10.48550/arxiv.2407.08928
openalex publication_date 2024/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the spreading speed of a diffusive epidemic model proposed by Li et al. \citeLL, where the Stefan boundary condition is imposed at the right boundary, and the left boundary is subject to the homogeneous Dirichlet and Neumann condition, respectively. A spreading-vanishing dichotomy and some sharp criteria were obtained in \citeLL. In this paper, when spreading happens, we not only obtain the exact spreading speed of the spreading front described by the right boundary, but derive some sharp estimates on the asymptotical behavior of solution component (u,v). Our arguments depend crucially on some detailed understandings for a corresponding semi-wave problem and a steady state problem.