59 citations · 59 across the 2 of their papers we have counts for
8 papers
Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment
Jian Fang, Rui Peng, Xiao-Qiang Zhao
This paper concerns the nonautonomous reaction-diffusion equation \[ u_t=u_{xx}+ug(t,x-ct,u), \quad t>0,x\in\mathbb{R}, \] where is the shifting speed, and the tim…
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…
Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition
Rui Peng, Chang-Hong Wu, Maolin Zhou
This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the solution is established in two d…
Population dynamics in river networks
Yu Jin, Rui Peng, Junping Shi
Natural rivers connect to each other to form networks. The geometric structure of a river network can significantly influence spatial dynamics of populations in the system. We cons…
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…
Asymptotic behavior of the principal eigenvalue of a linear second order elliptic operator with small/large diffusion coefficient and its application
Rui Peng, Guanghui Zhang, Maolin Zhou
In this article, we are concerned with the following eigenvalue problem of a linear second order elliptic operator: \begin{equation} \nonumber -DΔϕ-2α\nabla m(x)\cdot \nablaϕ+V(x)ϕ…