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Volumn 40, Issue 3-4, 2004, Pages 261-269

Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model

Author keywords

Discrete Leslie Gower predator prey model; Globalstability; Periodic solution; Permanence

Indexed keywords

LESLIE-GOWER PREDATOR-PREY MODEL; LYAPUNOV FUNCTIONS;

EID: 9644291684     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.02.026     Document Type: Article
Times cited : (44)

References (16)
  • 1
    • 0000441117 scopus 로고
    • Some further notes on the use of matrices in population mathematics
    • P.H. Leslie Some further notes on the use of matrices in population mathematics Biometrika 35 1948 213 245
    • (1948) Biometrika , vol.35 , pp. 213-245
    • Leslie, P.H.1
  • 2
    • 0003111530 scopus 로고
    • A stochastic model for studying the properties of certain biological systems by numerical methods
    • P.H. Leslie A stochastic model for studying the properties of certain biological systems by numerical methods Biometrika 45 1958 16 31
    • (1958) Biometrika , vol.45 , pp. 16-31
    • Leslie, P.H.1
  • 4
    • 0035427292 scopus 로고    scopus 로고
    • A Lyapunov function for Leslie-Gower predator-prey models
    • A. Korobeinikov A Lyapunov function for Leslie-Gower predator-prey models Appl. Math. Lett. 14 6 2001 697 699
    • (2001) Appl. Math. Lett. , vol.14 , Issue.6 , pp. 697-699
    • Korobeinikov, A.1
  • 9
    • 0035315099 scopus 로고    scopus 로고
    • A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays
    • Y. Saito, W. Ma, and T. Hara A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays J. Math. Anal. Appl. 256 2001 162 174
    • (2001) J. Math. Anal. Appl. , vol.256 , pp. 162-174
    • Saito, Y.1    Ma, W.2    Hara, T.3
  • 10
    • 38249007755 scopus 로고
    • Geometry of exclusion principle in discrete systems
    • J.E. Franke, and A.A. Yakubu Geometry of exclusion principle in discrete systems J. Math. Anal. Appl. 168 1992 385 400
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 385-400
    • Franke, J.E.1    Yakubu, A.A.2
  • 11
    • 0000994589 scopus 로고
    • Mutual exclusion versus coexistence for discrete competitive systems
    • J.E. Franke, and A.A. Yakubu Mutual exclusion versus coexistence for discrete competitive systems J. Math. Biol. 30 1991 161 168
    • (1991) J. Math. Biol. , vol.30 , pp. 161-168
    • Franke, J.E.1    Yakubu, A.A.2
  • 12
    • 38249002095 scopus 로고
    • Species extinction using geometry of level surface
    • J.E. Franke, and A.A. Yakubu Species extinction using geometry of level surface Nonlinear Anal. 21 1993 369 378
    • (1993) Nonlinear Anal. , vol.21 , pp. 369-378
    • Franke, J.E.1    Yakubu, A.A.2
  • 13
    • 0023516861 scopus 로고
    • Coexistence for systems governed by difference equations of Lotka-Volterra type
    • J. Hofbaur, V. Hutson, and W. Jansen Coexistence for systems governed by difference equations of Lotka-Volterra type J. Math. Biol. 25 1987 553 570
    • (1987) J. Math. Biol. , vol.25 , pp. 553-570
    • Hofbaur, J.1    Hutson, V.2    Jansen, W.3
  • 14
    • 0033102348 scopus 로고    scopus 로고
    • Global stability of discrete models of Lotka-Volterra type
    • W.D. Wang, and Z.Y. Lu Global stability of discrete models of Lotka-Volterra type Nonlinear Anal. 35 1999 1019 1030
    • (1999) Nonlinear Anal. , vol.35 , pp. 1019-1030
    • Wang, W.D.1    Lu, Z.Y.2
  • 15
    • 0037280750 scopus 로고    scopus 로고
    • Stable periodic solution of a discrete periodic Lotka-Volterra competition system
    • Y.M. Chen, and Z. Zhou Stable periodic solution of a discrete periodic Lotka-Volterra competition system J. Math. Anal. Appl. 277 2003 358 366
    • (2003) J. Math. Anal. Appl. , vol.277 , pp. 358-366
    • Chen, Y.M.1    Zhou, Z.2
  • 16
    • 0037107098 scopus 로고    scopus 로고
    • Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type
    • Y. Muroya Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type J. Math. Anal. Appl. 273 2002 492 511
    • (2002) J. Math. Anal. Appl. , vol.273 , pp. 492-511
    • Muroya, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.