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Volumn 4, Issue 4, 2003, Pages 615-624

Permanence and asymptotic stability for competitive and Lotka-Volterra systems with diffusion

Author keywords

Asymptotic stability; Attractor; Diffusion; Lotka Volterra systems; Permanence

Indexed keywords


EID: 0037412207     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1468-1218(02)00081-0     Document Type: Article
Times cited : (13)

References (10)
  • 1
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    • (1989) Nonlinear Anal. , vol.13 , Issue.3 , pp. 263-284
    • Ahmad, S.1    Lazer, A.2
  • 2
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competing species problem
    • C. Alvarez, A. Lazer, An application of topological degree to the periodic competing species problem, J. Austral. Math. Soc. Ser. B. 28 (1986) 202-219.
    • (1986) J. Austral. Math. Soc. Ser. B. , vol.28 , pp. 202-219
    • Alvarez, C.1    Lazer, A.2
  • 3
    • 84972493941 scopus 로고
    • Permanence for non-autonomous predator-prey systems
    • T.A. Burton, V. Hutson, Permanence for non-autonomous predator-prey systems, Differential Integral Equations 4 (6) (1991) 1269-1280.
    • (1991) Differential Integral Equations , vol.4 , Issue.6 , pp. 1269-1280
    • Burton, T.A.1    Hutson, V.2
  • 5
    • 0021618680 scopus 로고
    • Stable coexistence states in the Lotka-Volterra competition model with diffusion
    • C. Cosner, A. Lazer, Stable coexistence states in the Lotka-Volterra competition model with diffusion, SIAM J. Appl. Math. 44 (1984) 1112-1132.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 1112-1132
    • Cosner, C.1    Lazer, A.2
  • 6
    • 0013115155 scopus 로고
    • Monotone flows and order intervals
    • J.L. Gouzé, K.P. Hadeler, Monotone flows and order intervals, Nonlinear World 1 (1994) 23-34.
    • (1994) Nonlinear World , vol.1 , pp. 23-34
    • Gouzé, J.L.1    Hadeler, K.P.2
  • 8
    • 0002902529 scopus 로고
    • Coexistence and stability of a competition-diffusion system in population dynamics
    • C.V. Pao, Coexistence and stability of a competition-diffusion system in population dynamics, JMAA 83 (1981) 54-76.
    • (1981) JMAA , vol.83 , pp. 54-76
    • Pao, C.V.1
  • 9
    • 58149363911 scopus 로고
    • An iterative scheme for the N-competing species problem
    • A. Tineo, An iterative scheme for the N-competing species problem, J. Differential Equations 116 (1) (1995) 1-15.
    • (1995) J. Differential Equations , vol.116 , Issue.1 , pp. 1-15
    • Tineo, A.1
  • 10
    • 0000211242 scopus 로고
    • Asymptotic behavior of a competition diffusion system in population dynamics
    • L. Zhou, C.V. Pao, Asymptotic behavior of a competition diffusion system in population dynamics, Nonlinear Anal. 6 (11) (1982) 1163-1184.
    • (1982) Nonlinear Anal. , vol.6 , Issue.11 , pp. 1163-1184
    • Zhou, L.1    Pao, C.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.