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Nonlinear Analysis, Theory, Methods and Applications
Volumn 62, Issue 3, 2005, Pages 545-557
Average growth and extinction in a competitive Lotka-Volterra system
Author keywords

(I, J) condition; Average growth; Extinction; Growth rate; Interaction coefficient; Strongly persistent
Indexed keywords

FUNCTIONS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; SET THEORY; THEOREM PROVING;
EID: 19844381719     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.03.069     Document Type: Article
Times cited : (35)
References (12)
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    • to appear
    • S. Ahmad, A.C. Lazer, Average growth and total permanence in a Lotka-Volterra system, Ann. Mat. Pur. Appl., to appear.
    • Ann. Mat. Pur. Appl.
    • Ahmad, S.1    Lazer, A.C.2
  • 2
    • 19844383415 scopus 로고    scopus 로고
    • On Persistence and Extinction of Species
    • Lisbon Portugal
    • S. Ahmad, and A.C. Lazer On Persistence and Extinction of Species Centro Internacional de Matematica vol. 20 2002 Lisbon Portugal 1 12
    • (2002) Centro Internacional de Matematica , vol.20 , pp. 1-12
    • Ahmad, S.1    Lazer, A.C.2
  • 3
    • 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 Anal. 34 1998 191 228
    • (1998) Nonlinear Anal. , vol.34 , pp. 191-228
    • Ahmad, S.1    Lazer, A.C.2
  • 4
    • 0034172677 scopus 로고    scopus 로고
    • Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
    • S. Ahmad, and A.C. Lazer Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system Nonlinear Anal. 40 2000 37 49
    • (2000) Nonlinear Anal. , vol.40 , pp. 37-49
    • Ahmad, S.1    Lazer, A.C.2
  • 5
    • 0001619944 scopus 로고
    • On the nonautonomous N-competing species problem
    • S. Ahmad, and A.C. Lazer On the nonautonomous N-competing species problem Applic. Anal. 57 1995 309 323
    • (1995) Applic. Anal. , vol.57 , pp. 309-323
    • Ahmad, S.1    Lazer, A.C.2
  • 6
    • 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. Aust. Math. Soc. Ser. B 1992 160 170
    • (1992) J. Aust. Math. Soc. Ser. , pp. 160-170
    • Gopalsamy, K.1
  • 7
    • 0035546084 scopus 로고    scopus 로고
    • Lotka-Volterra systems with constant interaction coefficients
    • R. Redheffer Lotka-Volterra systems with constant interaction coefficients Nonlinear Anal. 46 2001 1154 1164
    • (2001) Nonlinear Anal. , vol.46 , pp. 1154-1164
    • Redheffer, R.1
  • 9
    • 16244420751 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for extinction of one species
    • A. Tineo Necessary and sufficient conditions for extinction of one species Adv. Nonlinear Studies 5 1 2005 57 71
    • (2005) Adv. Nonlinear Studies , vol.5 , Issue.1 , pp. 57-71
    • Tineo, A.1
  • 10
    • 58149363911 scopus 로고
    • An iterative scheme for the N-competing species problem
    • A. Tineo An iterative scheme for the N-competing species problem J. Diff. Equs. 116 1 1995 1 15
    • (1995) J. Diff. Equs. , vol.116 , Issue.1 , pp. 1-15
    • Tineo, A.1
  • 11
    • 0002231761 scopus 로고
    • A brief survey of persistence in dynamical systems
    • Busenberg, M. Martelli (Eds.) Springer, Berlin
    • P. Waltman, A brief survey of persistence in dynamical systems, in: Busenberg, M. Martelli (Eds.), Delay Differential Equations and Dynamical Systems, fifth ed., Springer, Berlin, 1991.
    • (1991) Delay Differential Equations and Dynamical Systems, Fifth Ed.
    • Waltman, P.1
  • 12
    • 0000449935 scopus 로고
    • Permanence and positive periodic solutions for Kolmogorov competing species systems
    • F. Zanolin Permanence and positive periodic solutions for Kolmogorov competing species systems Results Math. 21 1-2 1992 224 250
    • (1992) Results Math. , vol.21 , Issue.1-2 , pp. 224-250
    • Zanolin, F.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.