In this paper, we consider a Lotka-Volterra competition-diffusion system with resource-dependent dispersal. We study the linear v.s. global asymptotic stability of steady states. Furthermore, how the diffusion coefficients and the dispersal strategies of two competing species affect the stability of steady states are given. This paper is a further study of (Tang and Wang in J. Math. Biol. 86:23, 2023).
机构:
Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
Ge, Qing
Tang, De
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Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R ChinaSun Yat Sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China
机构:
Institute of Mathematics, Academia Sinica, Beijng 100080, China
Institute of Mathematical Sciences, Dalian Univ. of Science/Tech., Dalian 116023, ChinaInstitute of Mathematics, Academia Sinica, Beijng 100080, China
Zhang, Jingru
Chen, Lansun
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Institute of Mathematics, Academia Sinica, Beijng 100080, ChinaInstitute of Mathematics, Academia Sinica, Beijng 100080, China
Chen, Lansun
Chen, Xiu Dong
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Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116023, ChinaInstitute of Mathematics, Academia Sinica, Beijng 100080, China
机构:
Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
Univ Paderborn, Inst Math, Paderborn, GermanyChongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
Pan, Xu
Mu, Chunlai
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Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R ChinaChongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
Mu, Chunlai
Tao, Weirun
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机构:
Southeast Univ, Sch Math, Nanjing, Peoples R ChinaChongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
机构:
Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
Wang, Zhi-An
Xu, Jiao
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机构:
South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
机构:
Univ Rouen Normandie, CNRS, Lab Math Raphael Salem, Saint etienne du rouvray, France
BioSP, INRAE, Avignon, FranceUniv Rouen Normandie, CNRS, Lab Math Raphael Salem, Saint etienne du rouvray, France
Alfaro, Matthieu
Xiao, Dongyuan
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机构:
Univ Montpellier, IMAG, CNRS, Montpellier, FranceUniv Rouen Normandie, CNRS, Lab Math Raphael Salem, Saint etienne du rouvray, France