9 citations · 15 across the 7 of their papers we have counts for
10 papers
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…
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…
The generalised principal eigenvalue of time-periodic nonlocal dispersal operators and applications
Yuan-Hang Su, Wan-Tong Li, Yuan Lou +1
This paper is mainly concerned with the generalised principal eigenvalue for time-periodic nonlocal dispersal operators. We first establish the equivalence between two different ch…
Dynamics of a parabolic-ODE competition system in heterogeneous environments
Yuan Lou, Rachidi B. Salako
This work is concerned with the large time behavior of the solutions of a parabolic-ODE hybrid system, modeling the competition of two populations which are identical except their…