Coexistence solutions of a periodic competition model with nonlinear diffusion

Yifu Wang; Jingxue Yin; Yuanyuan Ke

doi:10.1016/j.nonrwa.2012.08.019

Coexistence solutions of a periodic competition model with nonlinear diffusion

Yifu Wang, Jingxue Yin, Yuanyuan Ke^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

3 Citations (Scopus)

Abstract

This paper is concerned with a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion and nonlocal terms, under the Dirichlet boundary condition. Based on the theory of Leray-Schauder's degree, we give sufficient conditions to assure the existence of coexistence periodic solutions, which extends some results of G. Fragnelli et al.

Original language	English
Pages (from-to)	1082-1091
Number of pages	10
Journal	Nonlinear Analysis: Real World Applications
Volume	14
Issue number	2
DOIs	https://doi.org/10.1016/j.nonrwa.2012.08.019
Publication status	Published - Apr 2013

Keywords

Coexistence periodic solutions
Competition model
Leray-Schauder's degree
Nonlocal terms

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10.1016/j.nonrwa.2012.08.019

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title = "Coexistence solutions of a periodic competition model with nonlinear diffusion",

abstract = "This paper is concerned with a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion and nonlocal terms, under the Dirichlet boundary condition. Based on the theory of Leray-Schauder's degree, we give sufficient conditions to assure the existence of coexistence periodic solutions, which extends some results of G. Fragnelli et al.",

keywords = "Coexistence periodic solutions, Competition model, Leray-Schauder's degree, Nonlocal terms",

author = "Yifu Wang and Jingxue Yin and Yuanyuan Ke",

year = "2013",

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AU - Wang, Yifu

AU - Yin, Jingxue

AU - Ke, Yuanyuan

PY - 2013/4

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N2 - This paper is concerned with a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion and nonlocal terms, under the Dirichlet boundary condition. Based on the theory of Leray-Schauder's degree, we give sufficient conditions to assure the existence of coexistence periodic solutions, which extends some results of G. Fragnelli et al.

AB - This paper is concerned with a spatially heterogeneous Lotka-Volterra competition model with nonlinear diffusion and nonlocal terms, under the Dirichlet boundary condition. Based on the theory of Leray-Schauder's degree, we give sufficient conditions to assure the existence of coexistence periodic solutions, which extends some results of G. Fragnelli et al.

KW - Coexistence periodic solutions

KW - Competition model

KW - Leray-Schauder's degree

KW - Nonlocal terms

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DO - 10.1016/j.nonrwa.2012.08.019

M3 - Article

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SN - 1468-1218

VL - 14

SP - 1082

EP - 1091

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 2

ER -

Coexistence solutions of a periodic competition model with nonlinear diffusion

Abstract

Keywords

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