4 citations · 4 across the 2 of their papers we have counts for
8 papers · 1 filter
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…
Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries
Yihong Du, Fang Li, Maolin Zhou
In Cao, Du, Li and Li [8], a nonlocal diffusion model with free boundaries extending the local diffusion model of Du and Lin [12] was introduced and studied. For Fisher-KPP type no…
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…
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…
The Fisher-KPP equation over simple graphs: Varied persistence states in river networks
Yihong Du, Bendong Lou, Rui Peng +1
In this article, we study the growth and spread of a new species in a river network with two or three branches via the Fisher-KPP advection-diffusion equation over some simple grap…