activity
20102026
most citedSpreading and vanishing in a West Nile virus model with expanding fronts

43 citations · 120 across the 22 of their papers we have counts for

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Showing 2013Show all

5 papers · 1 filter

math.AP2013★ 7 cited

The spreading front of invasive species in favorable habitat or unfavorable habitat

Chengxia Lei, Zhigui Lin, Qunying Zhang

Spatial heterogeneity and habitat characteristic are shown to determine the asymptotic profile of the solution to a reaction-diffusion model with free boundary, which describes the…

math.AP2013★ 5 cited

A SIS reaction-diffusion-advection model in a low-risk and high-risk domain

Jing Ge, Kwang Ik Kim, Zhigui Lin +1

A simplified SIS reaction-diffusion-advection model is proposed and investigated to understand the impact of spatial heterogeneity of environment and advection on the persistence a…

math.AP2013★ 13 cited

The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor

Yihong Du, Zhigui Lin

In this paper we consider the diffusive competition model consisting of an invasive species with density and a native species with density , in a radially symmetric setting…

math.AP2013★ 1 cited

Different Asymptotic Spreading Speeds Induced by Advection in a Diffusion Problem with Free Boundaries

Hong Gu, Zhigui Lin, Bendong Lou

In this paper, we consider a Fisher-KPP equation with an advection term and two free boundaries, which models the behavior of an invasive species in one dimension space. When sprea…

math.AP2013

An SIR epidemic model with free boundary

Kwang Ik Kim, Zhigui Lin, Qunying Zhang

An SIR epidemic model with free boundary is investigated. This model describes the transmission of diseases. The behavior of positive solutions to a reaction-diffusion system in a…