70 citations · 318 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
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…
Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of frequency on the principal eigenvalue of a time-periodic parabolic operator with Dirichlet, Robin or Neumann boundary conditions. The monotonicity and…