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Volumn 160, Issue 1, 1999, Pages 47-61

Existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with several deviating arguments

Author keywords

Coincidence degree; Deviating arguments; Global attractivity; Lotka Volterra competition system; Lyapunov functional; Positive periodic solutions

Indexed keywords

COMPETITION; LOTKA-VOLTERRA MODEL; PERIODICITY;

EID: 0032816634     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(99)00022-X     Document Type: Article
Times cited : (106)

References (23)
  • 1
    • 0001761074 scopus 로고
    • An application of topological degree to the periodic competiting species model
    • Alvarez C., Lazer A.C. An application of topological degree to the periodic competiting species model. J. Austral. Math. Soc. Ser. B. 28:1986;202.
    • (1986) J. Austral. Math. Soc. Ser. B , vol.28 , pp. 202
    • Alvarez, C.1    Lazer, A.C.2
  • 2
    • 84966201997 scopus 로고
    • On the nonautonomous Volterra-Lotka competition equations
    • Ahmad S. On the nonautonomous Volterra-Lotka competition equations. Proc. Am. Math. Soc. 117:1993;199.
    • (1993) Proc. Am. Math. Soc. , vol.117 , pp. 199
    • Ahmad, S.1
  • 3
    • 0001377799 scopus 로고    scopus 로고
    • Coexistence states for periodic competitive Kolmogorov systems
    • Battaaz A., Zanolin F. Coexistence states for periodic competitive Kolmogorov systems. J. Math. Anal. Appl. 219:1998;179.
    • (1998) J. Math. Anal. Appl. , vol.219 , pp. 179
    • Battaaz, A.1    Zanolin, F.2
  • 4
    • 0001274382 scopus 로고
    • Systemes d'equations differentielle d'oscillations nonlineaires
    • Barbǎlat I. Systemes d'equations differentielle d'oscillations nonlineaires. Rev. Roum. Math. Pures Appl. 4:1959;267.
    • (1959) Rev. Roum. Math. Pures Appl. , vol.4 , pp. 267
    • Barbǎlat, I.1
  • 5
    • 0019202916 scopus 로고
    • Two species competition in a periodic environment
    • Cushing J.M. Two species competition in a periodic environment. J. Math. Biol. 10:1980;385.
    • (1980) J. Math. Biol. , vol.10 , pp. 385
    • Cushing, J.M.1
  • 6
    • 0002676883 scopus 로고
    • Persistence in a model of three competitive populations
    • Freedman H.I., Waltman P. Persistence in a model of three competitive populations. Math. Biosci. 73:1985;89.
    • (1985) Math. Biosci. , vol.73 , pp. 89
    • Freedman, H.I.1    Waltman, P.2
  • 8
    • 0006984133 scopus 로고
    • Globally asymptotic stability in a periodic Lotka-Volterra system
    • Gopalsamy K. Globally asymptotic stability in a periodic Lotka-Volterra system. J. Austral. Math. Soc. Ser. B. 24:1982;160.
    • (1982) J. Austral. Math. Soc. Ser. B , vol.24 , pp. 160
    • Gopalsamy, K.1
  • 9
    • 0002552405 scopus 로고
    • Globally asymptotic stability in a periodic Lotka-Volterra system
    • Gopalsamy K. Globally asymptotic stability in a periodic Lotka-Volterra system. J. Austral. Math. Soc. Ser. B. 29:1985;66.
    • (1985) J. Austral. Math. Soc. Ser. B , vol.29 , pp. 66
    • Gopalsamy, K.1
  • 12
    • 0021071835 scopus 로고
    • Competition for fluctuating nutrient
    • Hale J.K., Somolinos A.S. Competition for fluctuating nutrient. J. Math. Biol. 18:1983;225.
    • (1983) J. Math. Biol. , vol.18 , pp. 225
    • Hale, J.K.1    Somolinos, A.S.2
  • 13
    • 38249009803 scopus 로고
    • Some new results on the periodic competition model
    • Korman P. Some new results on the periodic competition model. J. Math. Anal. Appl. 171:1992;131.
    • (1992) J. Math. Anal. Appl. , vol.171 , pp. 131
    • Korman, P.1
  • 15
    • 0006990963 scopus 로고    scopus 로고
    • Periodic solutions of N-species competition system with time delays
    • Li Y.K. Periodic solutions of N-species competition system with time delays. J. Biomath. 12(1):1997;1.
    • (1997) J. Biomath. , vol.12 , Issue.1 , pp. 1
    • Li, Y.K.1
  • 16
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • May R.M., Leonard W.J. Nonlinear aspects of competition between three species. SIAM J. Appl. Math. 29:1975;243.
    • (1975) SIAM J. Appl. Math. , vol.29 , pp. 243
    • May, R.M.1    Leonard, W.J.2
  • 17
    • 0000621116 scopus 로고
    • Time delays and chaos in two competition system
    • Shibata A., Saito N. Time delays and chaos in two competition system. Math. Biosci. 51:1980;199.
    • (1980) Math. Biosci. , vol.51 , pp. 199
    • Shibata, A.1    Saito, N.2
  • 18
    • 0000728807 scopus 로고
    • Periodic solutions of periodic competitive and cooperative systems
    • Smith H.L. Periodic solutions of periodic competitive and cooperative systems. SIAM J. Math. Anal. 17:1986;1289.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1289
    • Smith, H.L.1
  • 19
    • 0019495964 scopus 로고
    • Competition systems with periodic coefficients: A geometric approach
    • de Mottoni P., Schiaffino A. Competition systems with periodic coefficients: a geometric approach. J. Math. Biol. 11:1981;319.
    • (1981) J. Math. Biol. , vol.11 , pp. 319
    • De Mottoni, P.1    Schiaffino, A.2
  • 20
    • 38249038749 scopus 로고
    • Periodic competitive differential equations and the discrete dynamics of a competitive map
    • Smith H.L. Periodic competitive differential equations and the discrete dynamics of a competitive map. J. Different. Eq. 64:1986;165.
    • (1986) J. Different. Eq. , vol.64 , pp. 165
    • Smith, H.L.1
  • 21
    • 0001859202 scopus 로고
    • A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
    • Trieo A., Alrarez C. A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem. J. Math. Anal. Appl. 159:1991;44.
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 44
    • Trieo, A.1    Alrarez, C.2
  • 22
    • 0000449935 scopus 로고
    • Permanence and positive periodic solutions for Kolmogorov competing species systems
    • Zanolin F. Permanence and positive periodic solutions for Kolmogorov competing species systems. Results Math. 21:1992;224.
    • (1992) Results Math. , vol.21 , pp. 224
    • Zanolin, F.1
  • 23
    • 0001828205 scopus 로고
    • Global attractivity and oscillations in a periodic delay-logistic equation
    • Zhang B.G., Gopalsamy K. Global attractivity and oscillations in a periodic delay-logistic equation. J. Math. Anal. Appl. 15:1990;274.
    • (1990) J. Math. Anal. Appl. , vol.15 , pp. 274
    • Zhang, B.G.1    Gopalsamy, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.