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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…
math.AP2024
A Hamilton-Jacobi approach to road-field reaction-diffusion models
Christopher Henderson, King-Yeung Lam
We consider the road-field reaction-diffusion model introduced by Berestycki, Roquejoffre, and Rossi. By performing a "thin-front limit," we are able to deduce a Hamilton-Jacobi eq…
q-bio.PE2024
Asymptotic spreading of predator-prey populations in a shifting environment
King-Yeung Lam, Ray Lee
Inspired by recent studies associating shifting temperature conditions with changes in the efficiency of predator species in converting their prey to offspring, we propose a predat…