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Volumn 64, Issue 1-2, 2012, Pages 109-130

A Lotka-Volterra competition model with seasonal succession

Author keywords

Global stability; Lotka Volterra model; Periodic solutions; Saddle point structure; Seasonal succession; The period map

Indexed keywords

ANIMAL; ARTICLE; COMPETITIVE BEHAVIOR; POPULATION DYNAMICS; SEASON; STATISTICAL MODEL;

EID: 84855233725     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-011-0408-6     Document Type: Article
Times cited : (49)

References (18)
  • 1
    • 0034425179 scopus 로고    scopus 로고
    • General theory of competitive coexistence in time varying environments
    • Chesson P (2000) General theory of competitive coexistence in time varying environments. Theor Popul Biol 58: 211-237.
    • (2000) Theor Popul Biol , vol.58 , pp. 211-237
    • Chesson, P.1
  • 2
    • 0019202916 scopus 로고
    • Two species competition in a periodic environment
    • Cushing JM (1980) Two species competition in a periodic environment. J Math Biol 10: 385-400.
    • (1980) J Math Biol , vol.10 , pp. 385-400
    • Cushing, J.M.1
  • 3
    • 84855243223 scopus 로고    scopus 로고
    • Competition dynamics in a seasonally varying wetland
    • S. Cantrell, C. Cosener, and S. Ruan (Eds.), London: CRC Press/Chapman and Hall
    • DeAngelis DL, Trexler JC, Donalson DD (2009) Competition dynamics in a seasonally varying wetland. In: Cantrell S, Cosener C, Ruan S (eds) Spatial ecology, chap 1. CRC Press/Chapman and Hall, London, pp 1-13.
    • (2009) Spatial Ecology, Chap 1 , pp. 1-13
    • Deangelis, D.L.1    Trexler, J.C.2    Donalson, D.D.3
  • 4
    • 0019495964 scopus 로고
    • Competition systems with periodic coefficients: a geometric approach
    • de Mottoni P, Schiaffino A (1981) Competition systems with periodic coefficients: a geometric approach. J Math Biol 11: 319-335.
    • (1981) J Math Biol , vol.11 , pp. 319-335
    • de Mottoni, P.1    Schiaffino, A.2
  • 5
    • 0024221182 scopus 로고
    • Waterfowl communities and seasonal environments: temporal variabolity in interspecific competition
    • DuBowy PJ (1988) Waterfowl communities and seasonal environments: temporal variabolity in interspecific competition. Ecology 69: 1439-1453.
    • (1988) Ecology , vol.69 , pp. 1439-1453
    • Dubowy, P.J.1
  • 6
    • 21444453892 scopus 로고    scopus 로고
    • Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
    • Hsu S-B, Smith HL, Waltman P (1996) Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Trans Am Math Soc 348: 4083-4094.
    • (1996) Trans Am Math Soc , vol.348 , pp. 4083-4094
    • Hsu, S.-B.1    Smith, H.L.2    Waltman, P.3
  • 7
    • 0028980874 scopus 로고
    • Seasonal succession and the strength of intra- and interspecific competition in a Daphnia assemblage
    • Hu SS, Tessier AJ (1995) Seasonal succession and the strength of intra- and interspecific competition in a Daphnia assemblage. Ecology 76: 2278-2294.
    • (1995) Ecology , vol.76 , pp. 2278-2294
    • Hu, S.S.1    Tessier, A.J.2
  • 8
    • 50849100115 scopus 로고    scopus 로고
    • Floquet theory: a useful tool for understanding nonequilibrium dynamics
    • Klausmeier CA (2008) Floquet theory: a useful tool for understanding nonequilibrium dynamics. Theor Ecol 1: 153-163.
    • (2008) Theor Ecol , vol.1 , pp. 153-163
    • Klausmeier, C.A.1
  • 9
    • 77649339743 scopus 로고    scopus 로고
    • Successional state dynamics: a novel approach to modeling nonequilibrium foodweb dynamics
    • Klausmeier CA (2010) Successional state dynamics: a novel approach to modeling nonequilibrium foodweb dynamics. J Theor Biol 262: 584-595.
    • (2010) J Theor Biol , vol.262 , pp. 584-595
    • Klausmeier, C.A.1
  • 10
    • 0016372542 scopus 로고
    • Coexistence resulting from an alternation of density dependent and density independent growth
    • Koch AL (1974) Coexistence resulting from an alternation of density dependent and density independent growth. J Theor Biol 44: 373-386.
    • (1974) J Theor Biol , vol.44 , pp. 373-386
    • Koch, A.L.1
  • 11
    • 33748570775 scopus 로고    scopus 로고
    • Competitive-exclusion versus competitive-coexistence for systems in the plane
    • Kulenovic MRS, Merino O (2006) Competitive-exclusion versus competitive-coexistence for systems in the plane. Discrete Contin Dyn Syst B 6: 1141-1156.
    • (2006) Discrete Contin Dyn Syst B , vol.6 , pp. 1141-1156
    • Kulenovic, M.R.S.1    Merino, O.2
  • 12
    • 0035117040 scopus 로고    scopus 로고
    • Competition of phytoplankton under fluctuating light
    • Litchman E, Klausmeier CA (2001) Competition of phytoplankton under fluctuating light. Am Nat 157: 170-187.
    • (2001) Am Nat , vol.157 , pp. 170-187
    • Litchman, E.1    Klausmeier, C.A.2
  • 13
    • 0003355611 scopus 로고
    • Mathematical Biology
    • Berlin: Springer-Verlag
    • Murray JD (1989) Mathematical biology. Biomathematics, vol 19. Springer-Verlag, Berlin.
    • (1989) Biomathematics , vol.19
    • Murray, J.D.1
  • 14
    • 0027705431 scopus 로고
    • Competitive coexistence in a seasonally fluctuating environment II: multiple stable states and invasion success
    • Namba T, Takahashi S (1993) Competitive coexistence in a seasonally fluctuating environment II: multiple stable states and invasion success. Theor Popul Biol 44: 374-402.
    • (1993) Theor Popul Biol , vol.44 , pp. 374-402
    • Namba, T.1    Takahashi, S.2
  • 15
    • 0022838494 scopus 로고
    • Seasonally fluctuating resources and temporal variability of interspecific competition
    • Schmitt RJ, Holbrook SJ (1986) Seasonally fluctuating resources and temporal variability of interspecific competition. Oecologia 69: 1-11.
    • (1986) Oecologia , vol.69 , pp. 1-11
    • Schmitt, R.J.1    Holbrook, S.J.2
  • 17
    • 72449203733 scopus 로고    scopus 로고
    • Periodically forced food chain dynamics: model predictions and experimental validation
    • Steiner CE, Schwaderer AS, Huber V, Klausmeier CA, Litchman E (2009) Periodically forced food chain dynamics: model predictions and experimental validation. Ecology 90: 3099-3107.
    • (2009) Ecology , vol.90 , pp. 3099-3107
    • Steiner, C.E.1    Schwaderer, A.S.2    Huber, V.3    Klausmeier, C.A.4    Litchman, E.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.