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Volumn 176, Issue 1, 2001, Pages 195-222

Stable coexistence and bi-stability for competitive systems on ordered Banach spaces

Author keywords

Asymptotically autonomous semiflows; Competitive systems; Order preserving semiflows; Positive fixed points

Indexed keywords


EID: 0035841057     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2001.3981     Document Type: Article
Times cited : (42)

References (40)
  • 6
    • 0006699470 scopus 로고
    • Perron Frobenius theory for positive semigroups
    • (Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, and B. de Pagter, Eds.), North-Holland, Amsterdam
    • (1987) "One-Parameter Semigroups" , pp. 193-211
    • Heijmans, H.J.A.M.1
  • 17
    • 0000984231 scopus 로고
    • Eigenvectors of nonlinear positive operators and the linear Krein Rutman theorem
    • (E. Fadell and G. Fournier, Eds.), Lecture notes in Mathematics, Springer-Verlag, New York/Berlin
    • (1981) "Fixed Pont Theory" , vol.886 , pp. 309-331
    • Nussbaum, R.D.1
  • 19
    • 0006751797 scopus 로고
    • Generators of positive semigroups
    • (Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, and B. de Pagter, Eds.), North-Holland, Amsterdam
    • (1987) "One-Parameter Semigroups" , pp. 161-192
    • de Pagter, B.1
  • 20
    • 3042932634 scopus 로고
    • Ordered Banch spaces
    • (Ph. Clément, H.J.A.M. Heijmans, S. Angenent, C.J. van Duijn, and B. de Pagter, Eds.), North-Holland, Amsterdam
    • (1987) "One-Parameter Semigroups" , pp. 265-273
    • de Pagter, B.1
  • 22
    • 0000785639 scopus 로고    scopus 로고
    • A discrete, size-structured model of microbial growth and competition in the chemostat
    • (1996) J. Math. Biol , vol.34 , pp. 734-754
    • Smith, H.L.1
  • 24
    • 0023967009 scopus 로고
    • Systems of ordinary differential equations wich generate an order-preserving flow: A survey of results
    • (1988) SIAM Rev , vol.30 , pp. 87-111
    • Smith, H.L.1
  • 26
    • 4344574613 scopus 로고    scopus 로고
    • Dynamics of competition
    • "Lecture Notes at CIME, Martina Franca, Italy, June 13-20, "
    • (1997)
    • Smith, H.L.1
  • 35
    • 0003479527 scopus 로고    scopus 로고
    • 1 smooth strongly monotone discrete-time dynamical systems
    • preprint
    • Tereščák, I.1
  • 36
    • 77952672921 scopus 로고
    • Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
    • (1992) J. Math. Biol , vol.30 , pp. 755-763
    • Thieme, H.R.1
  • 37
    • 0039591930 scopus 로고
    • Persistence under relaxed point-dissipativity (with application to an epidemic model)
    • (1993) SIAM J. Math. Anal , vol.24 , pp. 407-435
    • Thieme, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.