42 citations · 118 across the 14 of their papers we have counts for
16 papers
Hopf bifurcation in a predator-prey model with diffusion and spatial heterogeneity
Yuan Lou, Ming-Zhen Xin
In this paper, we investigate how spatial heterogeneity affects the stability of positive equilibria in one-dimensional predator--prey reaction--diffusion systems with Neumann boun…
Stability and Instability of the Unique Positive Steady State for a Nonlocal Population Equation
Yuan Lou, Ming-Zhen Xin
This paper is concerned with the effect of spatial heterogeneity on the linear stability of unique positive steady states for a nonlocal population equation. The main difficulty is…
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…
A West Nile virus nonlocal model with free boundaries and seasonal succession
Liqiong Pu, Zhigui Lin, Yuan Lou
The paper deals with a West Nile virus (WNv) model, where the nonlocal diffusion is introduced to characterize a long-range dispersal, the free boundary is used to describe the spr…
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…
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…
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…
Some monotone properties for solutions to a reaction-diffusion model
Rui Li, Lou Yuan
Motivated by the recent investigation of a predator-prey model in heterogeneous environments \cite{LouYuan-WangBiao}, we show that the maximum of the unique positive solution of th…
Monotonicity of principal eigenvalue for elliptic operators with incompressible flow: A functional approach
Shuang Liu, Yuan Lou
We establish the monotonicity of the principal eigenvalue , as a function of the advection amplitude , for the elliptic operator $L_{A}=-\mathrm{div}(a(x)\nabla)+A\mathb…
Hopf bifurcation in a delayed reaction-diffusion-advection population model
Shanshan Chen, Yuan Lou, Junjie Wei
In this paper, we investigate a reaction-diffusion-advection model with time delay effect. The stability/instability of the spatially nonhomogeneous positive steady state and the a…
Evolution of natal dispersal in spatially heterogenous environments
Robert Stephen Cantrell, Chris Cosner, Yuan Lou +1
Understanding the evolution of dispersal is an important issue in evolutionary ecology. For continuous time models in which individuals disperse throughout their lifetime, it has b…
A mutation-selection model for evolution of random dispersal
King-Yeung Lam, Yuan Lou
We consider a mutation-selection model of a population structured by the spatial variables and a trait variable which is the diffusion rate. Competition for resource is local in sp…