2 papers
math.AP2026
Invasion Fronts in Shifting Habitats and Competition Systems: A Hamilton-Jacobi Approach and Nonlocal Effects
King-Yeung Lam, Chang-Hong Wu, Xiao Yu
We review recent developments in the study of spreading phenomena in reaction--diffusion equations arising from ecological invasion models. Motivated by the conjecture of Shigesada…
math.AP2024
Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments II: Flux-limited solutions
King-Yeung Lam, Gregoire Nadin, Xiao Yu
We consider the spreading dynamics of the Fisher-KPP equation in a shifting environment, by analyzing the limit of the rate function of the solutions. For environments with a weak…