Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor
- Y. Du, Zhigui Lin
- Mathematics
- 3 March 2013
In this paper we consider the diffusive competition model consisting of an invasive species with density $u$ and a native species with density $v$, in a radially symmetric setting with free boundary.… Expand
Blow-up Estimates of the Positive Solution of a Parabolic System
- M. Pedersen, Zhigui Lin
- Mathematics
- 15 March 2001
This paper establishes the blow-up estimates for the systems ut − Δu = 0, vt − Δv = 0 in BR × (0, T), BR ⊂ Rn, with the nonlinear boundary conditions ∂u∂η=um1vn1 and ∂v∂η=um2vn2 on SR × (0, T) where… Expand
A free boundary problem for a predator–prey model
- Zhigui Lin
- Mathematics
- 1 August 2007
This article is concerned with a system of semilinear parabolic equations with a free boundary, which arises in a predator–prey ecological model. The conditions for the existence and uniqueness of a… Expand
Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary
- Zhigui Lin, Huaiping Zhu
- Biology, Medicine
- Journal of mathematical biology
- 7 June 2016
In this paper, a reaction–diffusion system is proposed to model the spatial spreading of West Nile virus in vector mosquitoes and host birds in North America. Transmission dynamics are based on a… Expand
The spreading fronts of an infective environment in a man-environment-man epidemic model
- I. Ahn, Zhigui Lin
- Mathematics
- 27 August 2014
A reaction-diffusion model is investigated to understand infective environments in a man-environment-man epidemic model.
The free boundary is introduced to describe the expanding front of an… Expand
Coupled diffusion systems with localized nonlinear reactions
- M. Pedersen, Zhigui Lin
- Mathematics
- 1 September 2001
This paper deals with the blowup rate and profile near the blowup time for the system of diffusion equations uit − Δui = upii+1(x0, t), (i = 1, …, k, uk+1 := u1) in Ω × (0, T) with boundary… Expand
Global existence and blowup of a nonlocal problem in space with free boundary
- P. Zhou, Zhigui Lin
- Mathematics
- 1 April 2012
Abstract This paper concerns a double fronts free boundary problem for the reaction–diffusion equation with a nonlocal nonlinear reaction term in space. For such a problem, we mainly study the blowup… Expand
The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions
- Zhigui Lin, M. Wang
- Mathematics
- 1 May 1999
Abstract. This paper deals with the blow-up properties of solutions to semilinear heat equation
$u_t-u_{xx}=u^p \text{ in }(0,1)\times(0,T)$ with the nonlinear boundary conditions … Expand
Instability induced by cross-diffusion in reaction–diffusion systems
- Canrong Tian, Zhigui Lin, M. Pedersen
- Mathematics
- 1 April 2010
Abstract In this paper the instability of the uniform equilibrium of a general strongly coupled reaction–diffusion is discussed. In unbounded domain and bounded domain the sufficient conditions for… Expand
Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries
- Hong Gu, Zhigui Lin, B. Lou
- Mathematics, Physics
- 26 February 2013
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 spreading happens (that… Expand