메뉴 건너뛰기




Volumn 28, Issue 1, 2005, Pages 189-200

Partial survival and extinction of species in discrete nonautonomous lotka-volterra systems

Author keywords

Discrete model of nonautonomous Lotka Volterra type; Extinction of species

Indexed keywords


EID: 85016647866     PISSN: 03873870     EISSN: None     Source Type: Journal    
DOI: 10.3836/tjm/1244208288     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 84966201997 scopus 로고
    • On the nonautonomous Volterra-Lotka competition equations
    • S. AHMAD, On the nonautonomous Volterra-Lotka competition equations, Proc. Amer.Math. Soc. 117 (1993), 199–204.
    • (1993) Proc. Amer.Math. Soc , vol.117 , pp. 199-204
    • Ahmad, S.1
  • 2
    • 22844453576 scopus 로고    scopus 로고
    • Extinction of species in nonautonomous Lotka-Volterra systems
    • S. AHMAD, Extinction of species in nonautonomous Lotka-Volterra systems, Proc. Amer. Math. Soc. 127 (1999), 2905–2910.
    • (1999) Proc. Amer. Math. Soc , vol.127 , pp. 2905-2910
    • Ahmad, S.1
  • 3
    • 0001619944 scopus 로고
    • On the nonautonomous N-competing species problem
    • S. AHMAD and A. C. LAZER, On the nonautonomous N-competing species problem, Applicable Anal. 57 (1995), 209–323.
    • (1995) Applicable Anal , vol.57 , pp. 209-323
    • Ahmad, S.1    Lazer, A.C.2
  • 4
    • 0032188337 scopus 로고    scopus 로고
    • Necessary and sufficient average growth in a Lotka-Volterra system
    • S. AHMAD and A. C. LAZER, Necessary and sufficient average growth in a Lotka-Volterra system, Nonlinear Analysis TMA 34 (1998), 191–228.
    • (1998) Nonlinear Analysis TMA , vol.34 , pp. 191-228
    • Ahmad, S.1    Lazer, A.C.2
  • 5
    • 0034172677 scopus 로고    scopus 로고
    • Average conditions for global asymptotic stability in a nonautonomous LotkaVolterra system
    • S. AHMAD and A. C. LAZER, Average conditions for global asymptotic stability in a nonautonomous LotkaVolterra system, Nonlinear Analysis TMA 40 (2000), 37–49.
    • (2000) Nonlinear Analysis TMA , vol.40 , pp. 37-49
    • Ahmad, S.1    Lazer, A.C.2
  • 6
    • 0000806188 scopus 로고    scopus 로고
    • Extinction in nonautonomous T-periodic competitive Lotka-Volterra systems
    • S. AHMAD and F. MONTES DE OCA, Extinction in nonautonomous T-periodic competitive Lotka-Volterra systems, Appl. Math. Comput. 90 (1998), 155–166.
    • (1998) Appl. Math. Comput , vol.90 , pp. 155-166
    • Ahmad, S.1    De Oca, F.M.2
  • 7
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competing species problem
    • C. ALVAREZ and A. C. 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.C.2
  • 8
    • 0001377799 scopus 로고    scopus 로고
    • Coexistence states for periodic competitive Kolmogorov systems
    • A. BATTAUZ and F. ZANOLIN, Coexistence states for periodic competitive Kolmogorov systems, J. Math. Anol. Appl. 219 (1998), 179–199.
    • (1998) J. Math. Anol. Appl , vol.219 , pp. 179-199
    • Battauz, A.1    Zanolin, F.2
  • 9
    • 0006984133 scopus 로고
    • Exchange of equilibria in two species Lotka-Volterra competition models
    • K. GOPALSAMY, Exchange of equilibria in two species Lotka-Volterra competition models, J. Austral. Math. Soc. Ser B 24 (1982), 160–170.
    • (1982) J. Austral. Math. Soc. Ser B , vol.24 , pp. 160-170
    • Gopalsamy, K.1
  • 10
    • 0002552405 scopus 로고
    • Global asymptotic stability in a periodic Lotka-Volterra system
    • K. GOPALSAMY, Global asymptotic stability in a periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser B 27 (1985), 66–72.
    • (1985) J. Austral. Math. Soc. Ser B , vol.27 , pp. 66-72
    • Gopalsamy, K.1
  • 11
    • 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
  • 12
    • 85035291979 scopus 로고    scopus 로고
    • Averaged growth and global stability in nonautonomous Lotka-Volterra system with delays
    • Y. MUROYA, Averaged growth and global stability in nonautonomous Lotka-Volterra system with delays, Communications on Applied Nonlinear Analysis 10 (2003), 35–54.
    • (2003) Communications on Applied Nonlinear Analysis , vol.10 , pp. 35-54
    • Muroya, Y.1
  • 13
    • 84900551405 scopus 로고    scopus 로고
    • Partial survival and extinction of species in nonautonomous Lotka-Volterra systems with delays
    • Y. MUROYA, Partial survival and extinction of species in nonautonomous Lotka-Volterra systems with delays, Dynamic Systems and Applications 12 (2003), 295–306.
    • (2003) Dynamic Systems and Applications , vol.12 , pp. 295-306
    • Muroya, Y.1
  • 14
    • 21444434953 scopus 로고    scopus 로고
    • Extinction in nonautonomous competitive Lotka-Volterra systems
    • F. MONTES DE OCA and M. L. ZEEMAN, Extinction in nonautonomous competitive Lotka-Volterra systems, Proc. Amer. Math. Soc. 124 (1996), 3677–3687.
    • (1996) Proc. Amer. Math. Soc , vol.124 , pp. 3677-3687
    • De Oca, F.1    Zeeman, M.L.2
  • 15
    • 0032017574 scopus 로고    scopus 로고
    • An exclusion principle for periodic competitive Lotka-Volterra systems in three dimensions
    • R. ORTEGA and A. TINEO, An exclusion principle for periodic competitive Lotka-Volterra systems in three dimensions, Nonlinear Anal. TMA 31 (1998), 883–893.
    • (1998) Nonlinear Anal. TMA , vol.31 , pp. 883-893
    • Ortega, R.1    Tineo, A.2
  • 16
    • 0030594439 scopus 로고    scopus 로고
    • Nonautonomous Lotka-Volterra system I
    • R. REDHEFFER, Nonautonomous Lotka-Volterra system I, J. Differential Equations 127 (1996), 519–540.
    • (1996) J. Differential Equations , vol.127 , pp. 519-540
    • Redheffer, R.1
  • 17
    • 0030595775 scopus 로고    scopus 로고
    • Nonautonomous Lotka-Volterra system II
    • R. REDHEFFER, Nonautonomous Lotka-Volterra system II, J. Differential Equations 127 (1996), 1–20.
    • (1996) J. Differential Equations , vol.127 , pp. 1-20
    • Redheffer, R.1
  • 18
    • 0001859202 scopus 로고
    • A different consideration about the globally asymptotically stable solution of the periodic
    • A. TINEO and C. ALVAREZ, A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem, J. Math. Anal. Appl. 159 (1991), 44–60.
    • (1991) J. Math. Anal. Appl , vol.159 , pp. 44-60
    • Tineo, A.1    Alvarez, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.