Spreading speed revisited: Analysis of a free boundarymodel
We investigate, from a more ecological point of view, a free boundary model considered in
[11] and [8] that describes the spreading of a new or invasive species, with the free boundary …
[11] and [8] that describes the spreading of a new or invasive species, with the free boundary …
[HTML][HTML] On some free boundary problems of the prey–predator model
M Wang - Journal of Differential Equations, 2014 - Elsevier
In this paper we investigate some free boundary problems for the Lotka–Volterra type prey–
predator model in one space dimension. The main objective is to understand the asymptotic …
predator model in one space dimension. The main objective is to understand the asymptotic …
On a free boundary problem for a two-species weak competition system
JS Guo, CH Wu - Journal of Dynamics and Differential Equations, 2012 - Springer
Abstract We study a Lotka–Volterra type weak competition model with a free boundary in a
one-dimensional habitat. The main objective is to understand the asymptotic behavior of two …
one-dimensional habitat. The main objective is to understand the asymptotic behavior of two …
A free boundary problem for the predator–prey model with double free boundaries
M Wang, J Zhao - Journal of Dynamics and Differential Equations, 2017 - Springer
In this paper we investigate a free boundary problem for the classical Lotka–Volterra type
predator–prey model with double free boundaries in one space dimension. This system …
predator–prey model with double free boundaries in one space dimension. This system …
Free boundary problems for a Lotka–Volterra competition system
M Wang, J Zhao - Journal of Dynamics and Differential Equations, 2014 - Springer
In this paper we investigate two free boundary problems for a Lotka–Volterra type
competition model in one space dimension. The main objective is to understand the …
competition model in one space dimension. The main objective is to understand the …
[HTML][HTML] Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
H Gu, B Lou, M Zhou - Journal of Functional Analysis, 2015 - Elsevier
We consider Fisher-KPP equation with advection: ut= uxx− β u x+ f (u) for x∈(g (t), h (t)),
where g (t) and h (t) are two free boundaries satisfying Stefan conditions. This equation is …
where g (t) and h (t) are two free boundaries satisfying Stefan conditions. This equation is …
A free boundary problem of a predator–prey model with higher dimension and heterogeneous environment
J Zhao, M Wang - Nonlinear Analysis: Real World Applications, 2014 - Elsevier
This paper is concerned with a free boundary problem for a prey–predator model in higher
space dimensions and heterogeneous environment. Such a model may be used to describe …
space dimensions and heterogeneous environment. Such a model may be used to describe …
[HTML][HTML] The minimal habitat size for spreading in a weak competition system with two free boundaries
CH Wu - Journal of Differential Equations, 2015 - Elsevier
In this paper, we focus on the dynamics for a Lotka–Volterra type weak competition system
with two free boundaries, where free boundaries which may intersect each other as time …
with two free boundaries, where free boundaries which may intersect each other as time …
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions
ECM Crooks, EN Dancer, D Hilhorst, M Mimura… - Nonlinear Analysis: Real …, 2004 - Elsevier
We consider a competition-diffusion system with inhomogeneous Dirichlet boundary
conditions for two competitive species and show that they spatially segregate as the …
conditions for two competitive species and show that they spatially segregate as the …
Spreading and vanishing in the diffusive prey–predator model with a free boundary
M Wang - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
This paper deals with the diffusive Lotka–Volterra type prey–predator model with a free
boundary over a one dimensional habitat. This problem may be used to describe the …
boundary over a one dimensional habitat. This problem may be used to describe the …