3 papers
math.AP2019
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…
math.AP2019
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…
math.AP2019
Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data
Qian Liu, Shuang Liu, King-Yeung Lam
This is part two of our study on the spreading properties of the Lotka-Volterra competition-diffusion systems with a stable coexistence state. We focus on the case when the initial…