9 citations · 16 across the 5 of their papers we have counts for
10 papers · 1 filter
A Hamilton-Jacobi Approach to Evolution of Dispersal
King-Yeung Lam, Yuan Lou, Benoit Perthame
The evolution of dispersal is a classical question in evolutionary biology, and it has been studied in a wide range of mathematical models. A selection-mutation model, in which the…
Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments
King-Yeung Lam, Xiao Yu
We study the asymptotic spreading of Kolmogorov-Petrovsky-Piskunov (KPP) fronts in heterogeneous shifting habitats, with any number of shifting speeds, by further developing the me…
Selected topics on reaction-diffusion-advection models from spatial ecology
King-Yeung Lam, Shuang Liu, Yuan Lou
We discuss the effects of movement and spatial heterogeneity on population dynamics via reaction-diffusion-advection models, focusing on the persistence, competition, and evolution…
Entire Solutions of Diffusive Lotka-Volterra System
King-Yeung Lam, Rachidi B. Salako, Qiliang Wu
This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system \begin{equation}\label{eq:abstract} \begin{cases} u_{t}= u_{xx} + u…
Stacked invasion waves in a competition-diffusion model with three species
King-Yeung Lam, Qian Liu, Shuang Liu
We investigate the spreading properties of a three-species competition-diffusion system, which is non-cooperative. We apply the Hamilton-Jacobi approach, due to Freidlin, Evans and…
Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach
Qian Liu, Shuang Liu, King-Yeung Lam
We establish spreading properties of the Lotka-Volterra competition-diffusion system. When the initial data vanish on a right half-line, we derive the exact spreading speeds and pr…