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math.AP2024

Longtime behaviors of an epidemic model with nonlocal diffusions and a free boundary: spreading-vanishing dichotomy

Xueping Li, Lei Li

We propose a nonlocal epidemic model whose spatial domain evolves over time and is represented by with standing for the spreading front of epidemic. It is assumed…

math.AP2024

Dynamics for a diffusive epidemic model with a free boundary: sharp asymptotic profile

Xueping Li, Lei Li, Mingxin Wang

This paper concerns the sharp asymptotic profiles of the solution of a diffusive epidemic model with one free boundary and one fixed boundary which is subject to the homogeneous Di…

math.AP2024

Dynamics for a diffusive epidemic model with a free boundary: spreading speed

Xueping Li, Lei Li, Mingxin Wang

We study the spreading speed of a diffusive epidemic model proposed by Li et al. \cite{LL}, where the Stefan boundary condition is imposed at the right boundary, and the left bound…

math.AP2024

The free boundary problem of an epidemic model with nonlocal diffusions and nonlocal reactions: spreading-vanishing dichotomy

Xueping Li, Lei Li, Mingxin Wang

This paper concerns the free boundary problem of an epidemic model. The spatial movements of the infectious agents and the infective humans are approximated by nonlocal diffusion o…

math.AP2024

Dynamics for a diffusive epidemic model with a free boundary: spreading-vanishing dichotomy

Xueping Li, Lei Li, Ying Xu +1

This paper involves a diffusive epidemic model whose domain has one free boundary with the Stefan boundary condition, and one fixed boundary subject to the usual homogeneous Dirich…