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math.AP2025

Longtime behaviors of a reducible cooperative system with nonlocal diffusions and free boundaries

Lei Li, Mingxin Wang

This paper aims at understanding the longtime behaviors of a reducible cooperative system with nonlocal diffusions and different free boundaries, describing the interactions of two…

math.AP2024

Longtime behaviors of an epidemic model with nonlocal diffusions and a free boundary: rate of accelerated spreading

Lei Li, Mingxin Wang

This is the third part of our series of work devoted to the dynamics of an epidemic model with nonlocal diffusions and free boundary. This part is concerned with the rate of accele…

math.AP2024

Spreading dynamics of a Fisher-KPP nonlocal diffusion model with a free boundary

Lei Li, Mingxin Wang

This paper concerns the spreading speed and asymptotical behaviors, which was left as an open problem in \cite{LLW22}, of a Fisher-KPP nonlocal diffusion model with a free boundary…

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…