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Volumn 3, Issue 1, 2002, Pages 107-129

Nonexistence of periodic solutions in delayed Lotka-Volterra systems

Author keywords

Butler McGehee's lemma; Delayed Lotka Volterra system; Li and Muldowney's criterion; Nonexistence of periodic solutions

Indexed keywords


EID: 11144323208     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1468-1218(01)00017-7     Document Type: Article
Times cited : (11)

References (11)
  • 1
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    • Global stability results for a generalized Lotka-Volterra system with distributed delays: Applications to predator-prey and to epidemic systems
    • E. Beretta, V. Capasso, F. Rinaldi, Global stability results for a generalized Lotka-Volterra system with distributed delays: applications to predator-prey and to epidemic systems, J. Math. Biol. 26 (1988) 661-688.
    • (1988) J. Math. Biol. , vol.26 , pp. 661-688
    • Beretta, E.1    Capasso, V.2    Rinaldi, F.3
  • 2
    • 0000839497 scopus 로고
    • A generalization of Volterra models with continuous time delay in population dynamics: Boundedness and global asymptotic stability
    • E. Beretta, F. Solimano, A generalization of Volterra models with continuous time delay in population dynamics: boundedness and global asymptotic stability, SIAM J. Appl. Math. 48 (1988) 607-626.
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 607-626
    • Beretta, E.1    Solimano, F.2
  • 3
    • 0023083590 scopus 로고
    • Global stability of single-species diffusion Volterra models with continuous time delay
    • E. Beretta, Y. Takeuchi, Global stability of single-species diffusion Volterra models with continuous time delay, Bull. Math. Biol. 49 (1987) 431-448.
    • (1987) Bull. Math. Biol. , vol.49 , pp. 431-448
    • Beretta, E.1    Takeuchi, Y.2
  • 4
    • 48749138514 scopus 로고
    • Persistence in models of three interacting predator-prey populations
    • H.I. Freedman, P. Waltman, Persistence in models of three interacting predator-prey populations, Math. Biosci. 68 (1984) 213-231.
    • (1984) Math. Biosci. , vol.68 , pp. 213-231
    • Freedman, H.I.1    Waltman, P.2
  • 6
    • 0000825092 scopus 로고    scopus 로고
    • A criterion for stability of matrices
    • M.Y. Li, L. Wang, A criterion for stability of matrices, J. Math. Anal. Appl. 255 (1998) 249-264.
    • (1998) J. Math. Anal. Appl. , vol.255 , pp. 249-264
    • Li, M.Y.1    Wang, L.2
  • 9
    • 0021018331 scopus 로고
    • Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay
    • F. Solimano, E. Beretta, Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay, J. Math. Biol. 18 (1983) 93-102.
    • (1983) J. Math. Biol. , vol.18 , pp. 93-102
    • Solimano, F.1    Beretta, E.2
  • 11
    • 0001387740 scopus 로고
    • Global stability in ecological systems with continuous time delay
    • A. Wörz-Busekros, Global stability in ecological systems with continuous time delay, SIAM J. Appl. Math. 35 (1978) 123-134.
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 123-134
    • Wörz-Busekros, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.