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Volumn 130, Issue 2-3, 2002, Pages 441-455

Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response

Author keywords

Delay; Lyapunov functional; Stability; Uniform persistence

Indexed keywords


EID: 0037102878     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00111-4     Document Type: Article
Times cited : (25)

References (8)
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    • (1988)
    • Hofbauer, J.1    Sigmund, K.2
  • 2
    • 0001293981 scopus 로고
    • Global stability for infinite delay Lotka–Volterra type systems
    • Y. Kuang H.L. Smith Global stability for infinite delay Lotka–Volterra type systems J. Differential Equations 103 1993 221 246
    • (1993) J. Differential Equations , vol.103 , pp. 221-246
    • Kuang, Y.1    Smith, H.L.2
  • 3
    • 0000731675 scopus 로고
    • Global stability in delay differential systems without dominating instantaneous negative feedbacks
    • Y. Kuang Global stability in delay differential systems without dominating instantaneous negative feedbacks J. Differential Equations 119 1995 503 532
    • (1995) J. Differential Equations , vol.119 , pp. 503-532
    • Kuang, Y.1
  • 4
    • 0001723867 scopus 로고
    • Uniform persistence in functional differential equations
    • H.I. Freedman S. Ruan Uniform persistence in functional differential equations J. Differential Equations 115 1995 173 192
    • (1995) J. Differential Equations , vol.115 , pp. 173-192
    • Freedman, H.I.1    Ruan, S.2
  • 5
    • 44949279431 scopus 로고
    • Harmless delays for uniform persistence
    • W. Wang Z. Ma Harmless delays for uniform persistence J. Math. Anal. Appl. 158 1991 256 268
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 256-268
    • Wang, W.1    Ma, Z.2
  • 6
    • 84941442792 scopus 로고
    • A nonlinear differential difference equation
    • E.M. Wright A nonlinear differential difference equation J. Reine Angew. Math. 194 1955 66 87
    • (1955) J. Reine Angew. Math. , vol.194 , pp. 66-87
    • Wright, E.M.1
  • 7
    • 0002344818 scopus 로고
    • The existence of an equilibrium for permanent systems
    • V. Hutson The existence of an equilibrium for permanent systems Rocky Mountain J. Math. 20 1990 1033 1040
    • (1990) Rocky Mountain J. Math. , vol.20 , pp. 1033-1040
    • Hutson, V.1
  • 8
    • 85120137829 scopus 로고
    • Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press Boston, MA
    • (1993)
    • Kuang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.