메뉴 건너뛰기




Volumn 8, Issue 6, 2013, Pages 165-185

Resource competition: A bifurcation theory approach

Author keywords

Bifurcation analysis; Competitive exclusion; Complementary resources; Resource competition; Resource quarter plane plot

Indexed keywords

BIFURCATION ANALYSIS; COMPETITIVE EXCLUSION; COMPLEMENTARY RESOURCES; QUARTER PLANE; RESOURCE COMPETITIONS;

EID: 84889846128     PISSN: 09735348     EISSN: 17606101     Source Type: Journal    
DOI: 10.1051/mmnp/20138611     Document Type: Article
Times cited : (5)

References (34)
  • 2
    • 0023825915 scopus 로고
    • Limitation of growth rate by two complementary nutrients: Some elementary but neglected considerations
    • B.C. Baltzis, A.G. Fredrickson. Limitation of growth rate by two complementary nutrients: Some elementary but neglected considerations. Biotechnol. Bioeng., 31 (1988), 75-86. (Pubitemid 18548636)
    • (1988) Biotechnology and Bioengineering , vol.31 , Issue.1 , pp. 75-86
    • Baltzis Basil, C.1    Fredrickson, A.G.2
  • 3
    • 0002530944 scopus 로고
    • Transients and oscillations in continuous culture
    • M.J. Bazin (ed) London, Academic Press
    • A. Cunningham, R.M. Nisbet. Transients and oscillations in continuous culture. In M.J. Bazin (ed), Mathematics in Microbiology, pages 77-103, London, Academic Press, 1983.
    • (1983) Mathematics in Microbiology , pp. 77-103
    • Cunningham, A.1    Nisbet, R.M.2
  • 4
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
    • DOI 10.1145/779359.779362
    • A. Dhooge, W. Govaerts, Yu.A. Kuznetsov. Matcont: A MATLAB package for numerical bifurcation analysis of ODEs. ACM T. Math. Software, 29 (2003), 141-164. (Pubitemid 40001448)
    • (2003) ACM Transactions on Mathematical Software , vol.29 , Issue.2 , pp. 141-164
    • Dhooge, A.1    Govaerts, W.2    Kuznetsov, Yu.A.3
  • 7
    • 0031886729 scopus 로고    scopus 로고
    • Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree
    • DOI 10.1023/A:1006554906681
    • S.A.H. Geritz, É. Kisdi, G. Meszéna, J.A.J. Metz. Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree. Evol. Ecol., 12 (1998), 35-57. (Pubitemid 28139607)
    • (1998) Evolutionary Ecology , vol.12 , Issue.1 , pp. 35-57
    • Geritz, S.A.H.1    Kisdi, E.2    Meszena, G.3    Metz, J.A.J.4
  • 8
    • 0003934871 scopus 로고    scopus 로고
    • Population and Community Biology series Chapman & Hall, London
    • J.P. Grover. Resource Competition. Population and Community Biology series. Chapman & Hall, London, 1997.
    • (1997) Resource Competition.
    • Grover, J.P.1
  • 9
    • 0003285244 scopus 로고
    • Nonlinear oscillations, dynamical systems and bifurcations of vector fields
    • Springer-Verlag, New York, 2 edition
    • J. Guckenheimer, P. Holmes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. volume 42 of Applied Mathematical Sciences. Springer-Verlag, New York, 2 edition, 1985.
    • (1985) Applied Mathematical Sciences , vol.42
    • Guckenheimer, J.1    Holmes, P.2
  • 10
    • 34248971890 scopus 로고
    • The competitive exclusion principle
    • G. Hardin. The competitive exclusion principle. Science, 131:3409 (1960), 1292-1297.
    • (1960) Science , vol.131 , Issue.3409 , pp. 1292-1297
    • Hardin, G.1
  • 12
    • 0001010543 scopus 로고
    • Exploitative competition of microorganisms for two complementary nutrients in continuous cultures
    • S.-B. Hsu, K.-S. Cheng, S.P. Hubbell. Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. SIAM J. Appl. Math., 41: 3 (1981), 422-444.
    • (1981) SIAM J. Appl. Math. , vol.41 , Issue.3 , pp. 422-444
    • Hsu, S.-B.1    Cheng, K.-S.2    Hubbell, S.P.3
  • 13
    • 0034767335 scopus 로고    scopus 로고
    • Biological conditions for oscillations and chaos generated by multispecies competition
    • J. Huisman, F.J. Weissing. Biological conditions for oscillations and chaos generated by multispecies competition. Ecology, 82:10 (2001), 2682-2695. (Pubitemid 33037572)
    • (2001) Ecology , vol.82 , Issue.10 , pp. 2682-2695
    • Huisman, J.1    Weissing, F.J.2
  • 14
    • 0000123207 scopus 로고
    • The paradox of the plankton
    • G. E. Hutchinson. The paradox of the plankton. Am. Nat., 95: 882 (1961), 137-145.
    • (1961) Am. Nat. , vol.95 , Issue.882 , pp. 137-145
    • Hutchinson, G.E.1
  • 15
    • 0032910878 scopus 로고    scopus 로고
    • Resistance of a food chain to invasion by a top predator
    • DOI 10.1016/S0025-5564(98)10083-4, PII S0025556498100834
    • B.W. Kooi, M.P. Boer, S.A.L.M. Kooijman. Resistance of a food chain to invasion by a top predator. Math. Biosci., 157 (1999), 217-236. (Pubitemid 29165068)
    • (1999) Mathematical Biosciences , vol.157 , Issue.1-2 , pp. 217-236
    • Kooi, B.W.1    Boer, M.P.2    Kooijman, S.A.L.M.3
  • 16
    • 0043068053 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment
    • DOI 10.1023/A:1025146207201
    • B.W. Kooi. Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment. Acta Biotheor., 51: 3 (2003), 189-222. (Pubitemid 36990625)
    • (2003) Acta Biotheoretica , vol.51 , Issue.3 , pp. 189-222
    • Kooi, B.W.1
  • 19
    • 0036354302 scopus 로고    scopus 로고
    • Light-induced mass turnover in a mono-species Community of mixotrophs
    • DOI 10.1006/jtbi.2001.2458
    • S.A.L.M. Kooijman, H.A. Dijkstra, B.W. Kooi. Light-induced mass turnover in a mono-species community of mixotrophs. J. Theor. Biol., 214 (2002), 233-254. (Pubitemid 34948555)
    • (2002) Journal of Theoretical Biology , vol.214 , Issue.2 , pp. 233-254
    • Kooijman, S.A.L.M.1    Dijkstra, H.A.2    Kooi, B.W.3
  • 22
    • 0030303770 scopus 로고    scopus 로고
    • On models for assembling ecological communities
    • R.D. Morton, R. Law, S.L. Pimm, J.A. Drake. On models for assembling ecological communities. Oikos, 75: 3 (1996), 493-499.
    • (1996) Oikos , vol.75 , Issue.3 , pp. 493-499
    • Morton, R.D.1    Law, R.2    Pimm, S.L.3    Drake, J.A.4
  • 23
    • 84866450431 scopus 로고    scopus 로고
    • Quantifying the likelihood of co-existence for communities with asymmetric competition
    • S. Nattrass, S. Baigent, D.J. Murrell. Quantifying the likelihood of co-existence for communities with asymmetric competition. B. Math. Biol., 74: 10 (2012), 2315-2338.
    • (2012) B. Math. Biol. , vol.74 , Issue.10 , pp. 2315-2338
    • Nattrass, S.1    Baigent, S.2    Murrell, D.J.3
  • 25
    • 0034755059 scopus 로고    scopus 로고
    • Does "supersaturated coexistence" resolve the "paradox of the plankton"
    • P. Schipper, A.M. Verschoor, M. Vos, W.M. Mooij. Does "supersaturated coexistence" resolve the "paradox of the plankton" Ecol. Lett., 4 (2001), 404-407.
    • (2001) Ecol. Lett. , vol.4 , pp. 404-407
    • Schipper, P.1    Verschoor, A.M.2    Vos, M.3    Mooij, W.M.4
  • 26
    • 84855424600 scopus 로고    scopus 로고
    • Multiple resource limitation theory applied to herbivorous consumers: Liebig's minimum rule vs. Interactive co-limitation
    • E. Sperfeld, D. Martin-Creuzburg, A. Wacker. Multiple resource limitation theory applied to herbivorous consumers: Liebig's minimum rule vs. interactive co-limitation. Ecol. Lett., 15 (2012) 142-150.
    • (2012) Ecol. Lett. , vol.15 , pp. 142-150
    • Sperfeld, E.1    Martin-Creuzburg, D.2    Wacker, A.3
  • 28
    • 34247170810 scopus 로고    scopus 로고
    • Bifurcation analysis of ecological and evolutionary processes in ecosystems
    • DOI 10.1016/j.ecolmodel.2007.01.007, PII S030438000700018X
    • T.A. Troost, B.W. Kooi, S.A.L.M. Kooijman. Bifurcation analysis can unify ecological and evolutionary aspects of ecosystems. Ecol. Model., 204 (2007), 253-268. (Pubitemid 46602684)
    • (2007) Ecological Modelling , vol.204 , Issue.1-2 , pp. 253-268
    • Troost, T.A.1    Kooi, B.W.2    Kooijman, S.A.L.M.3
  • 29
    • 0000817765 scopus 로고
    • Resource competition between planktonic algae: An experimental and theoretical approach
    • D. Tilman. Resource competition between planktonic algae: an experimental and theoretical approach. Ecology, 58 (1977), 338-348.
    • (1977) Ecology , vol.58 , pp. 338-348
    • Tilman, D.1
  • 30
    • 0000245739 scopus 로고
    • Resources: A graphical-mechanistic approach to competition and predation
    • D. Tilman. Resources: A graphical-mechanistic approach to competition and predation. Am. Nat., 116 (1980), 363-393.
    • (1980) Am. Nat. , vol.116 , pp. 363-393
    • Tilman, D.1
  • 32
    • 0022185801 scopus 로고
    • The resource-ratio hypothesis of plant succession
    • D. Tilman. The resource-ratio hypothesis of plant succession. Am. Nat., 125: 6 (1985), 827-852.
    • (1985) Am. Nat. , vol.125 , Issue.6 , pp. 827-852
    • Tilman, D.1
  • 34
    • 34247472149 scopus 로고    scopus 로고
    • Is there really insufficient support for Tilman's R*concept? A comment on Miller et al.
    • DOI 10.1086/513113
    • J.B. Wilson, E. Spijkerman, J. Huisman. Is there really insufficient support for Tilman's R* concept A comment on Miller et al. Am. Nat., 169: 5 (2007), 700-706. (Pubitemid 46651173)
    • (2007) American Naturalist , vol.169 , Issue.5 , pp. 700-706
    • Wilson, J.B.1    Spijkerman, E.2    Huisman, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.