output
19932026
most citedSpreading and vanishing in nonlinear diffusion problems with free boundaries

217 citations

Showing 2015 · math.APShow all

5 papers · 2 filters

math.AP2015★ 5 cited

Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary

Yihong Du, Lei Wei, Ling Zhou

We investigate the influence of a shifting environment on the spreading of an invasive species through a model given by the diffusive logistic equation with a free boundary. When t…

math.AP2015★ 4 cited

Semi-wave and spreading speed for the diffusive competition model with a free boundary

Yihong Du, Mingxin Wang, Maolin Zhou

We determine the asymptotic spreading speed of an invasive species, which invades the territory of a native competitor, governed by a diffusive competition model with a free bounda…

math.AP2015★ 25 cited

A KPP road-field system with spatially periodic exchange terms

Thomas Giletti, Léonard Monsaingeon, Maolin Zhou

We take interest in a reaction-diffusion system which has been recently proposed [11] as a model for the effect of a road on propagation phenomena arising in epidemiology and ecolo…

math.AP2015★ 4 cited

Equations involving fractional Laplacian operator: Compactness and application

Shusen Yan, Jianfu Yang, Xiaohui Yu

In this paper, we consider the following problem involving fractional Laplacian operator: \begin{equation}\label{eq:0.1} (-Δ)^α u= |u|^{2^*_α-2-\varepsilon}u + λu\,\, {\rm in}\,\,…

math.AP2015★ 8 cited

Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries

Hong Gu, Bendong Lou, Maolin Zhou

We consider Fisher-KPP equation with advection: for , where and are two free boundaries satisfying Stefan conditions. This eq…