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^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1082-1091
页数	10
期刊	Nonlinear Analysis: Real World Applications
卷	14
期	2
DOI	https://doi.org/10.1016/j.nonrwa.2012.08.019
出版状态	已出版 - 4月 2013

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10.1016/j.nonrwa.2012.08.019

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Wang, Y., Yin, J., & Ke, Y. (2013). Coexistence solutions of a periodic competition model with nonlinear diffusion. Nonlinear Analysis: Real World Applications, 14(2), 1082-1091. https://doi.org/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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doi = "10.1016/j.nonrwa.2012.08.019",

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T1 - Coexistence solutions of a periodic competition model with nonlinear diffusion

AU - Wang, Yifu

AU - Yin, Jingxue

AU - Ke, Yuanyuan

PY - 2013/4

Y1 - 2013/4

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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U2 - 10.1016/j.nonrwa.2012.08.019

DO - 10.1016/j.nonrwa.2012.08.019

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VL - 14

SP - 1082

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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

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