42 citations · 118 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
Evolution of anisotropic diffusion in two-dimensional heterogeneous environments
Emeric Bouin, Guillaume Legendre, Yuan Lou +1
We consider a system of two competing populations in two-dimensional heterogeneous environments. The populations are assumed to move horizontally and vertically with different prob…
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effect of small diffusion on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions in one dimensional space…
Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator I: Large advection
Shuang Liu, Yuan Lou, Rui Peng +1
We investigate the effects of advection on the principal eigenvalues of linear time-periodic parabolic operators with zero Neumann boundary conditions. Various asymptotic behaviors…