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math.AP2026
Hopf bifurcation in a predator-prey model with diffusion and spatial heterogeneity
Yuan Lou, Ming-Zhen Xin
In this paper, we investigate how spatial heterogeneity affects the stability of positive equilibria in one-dimensional predator--prey reaction--diffusion systems with Neumann boun…
math.AP2026
Stability and Instability of the Unique Positive Steady State for a Nonlocal Population Equation
Yuan Lou, Ming-Zhen Xin
This paper is concerned with the effect of spatial heterogeneity on the linear stability of unique positive steady states for a nonlocal population equation. The main difficulty is…
math.AP2025
Uniqueness and stability of monostable pulsating fronts for multi-dimensional reaction-diffusion-advection systems in periodic media
Li-Jun Du, Wan-Tong Li, Ming-Zhen Xin
In this paper, we consider the phenomenon of monostable pulsating fronts for multi-dimensional reaction-diffusion-advection systems in periodic media. Recent results have addressed…