Long time behavior of a diffusive competition model

Wenjie Ni; Mingxin Wang

doi:10.1016/j.aml.2016.02.017

Long time behavior of a diffusive competition model

Wenjie Ni
, Mingxin Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper we investigate the long time behavior of a diffusive competition model in a bounded domain Ω ⊂ ℝⁿ with no-flux boundary condition. This model comes from the study of the effect of migration (dispersal) (Dockery et al., 1998; Lou, 2006). We prove that limt→∞ u(x, t) = s, lim_t→∞ υ(x, t) = 1 - s uniformly on Ω (with hat) for some s ∈ [0, 1] provided that either d₁ = d₂, or d₁ and d₂ are suitably large.

Original language	English
Pages (from-to)	145-151
Journal	Applied Mathematics Letters
Volume	58
Early online date	4 Mar 2016
DOIs	https://doi.org/10.1016/j.aml.2016.02.017
Publication status	Published - Aug 2016

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title = "Long time behavior of a diffusive competition model",

abstract = "In this paper we investigate the long time behavior of a diffusive competition model in a bounded domain Ω ⊂ ℝn with no-flux boundary condition. This model comes from the study of the effect of migration (dispersal) (Dockery et al., 1998; Lou, 2006). We prove that limt→∞ u(x, t) = s, limt→∞ υ(x, t) = 1 - s uniformly on Ω (with hat) for some s ∈ [0, 1] provided that either d1 = d2, or d1 and d2 are suitably large.",

author = "Wenjie Ni and Mingxin Wang",

year = "2016",

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doi = "10.1016/j.aml.2016.02.017",

language = "English",

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pages = "145--151",

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AU - Ni, Wenjie

AU - Wang, Mingxin

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N2 - In this paper we investigate the long time behavior of a diffusive competition model in a bounded domain Ω ⊂ ℝn with no-flux boundary condition. This model comes from the study of the effect of migration (dispersal) (Dockery et al., 1998; Lou, 2006). We prove that limt→∞ u(x, t) = s, limt→∞ υ(x, t) = 1 - s uniformly on Ω (with hat) for some s ∈ [0, 1] provided that either d1 = d2, or d1 and d2 are suitably large.

AB - In this paper we investigate the long time behavior of a diffusive competition model in a bounded domain Ω ⊂ ℝn with no-flux boundary condition. This model comes from the study of the effect of migration (dispersal) (Dockery et al., 1998; Lou, 2006). We prove that limt→∞ u(x, t) = s, limt→∞ υ(x, t) = 1 - s uniformly on Ω (with hat) for some s ∈ [0, 1] provided that either d1 = d2, or d1 and d2 are suitably large.

U2 - 10.1016/j.aml.2016.02.017

DO - 10.1016/j.aml.2016.02.017

M3 - Article

SN - 0893-9659

VL - 58

SP - 145

EP - 151

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Long time behavior of a diffusive competition model

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