메뉴 건너뛰기




Volumn 381, Issue 2, 2011, Pages 732-741

S-shaped bifurcation curves in ecosystems

Author keywords

Ecological systems; S shaped bifurcation curves; Sub supersolutions

Indexed keywords


EID: 79955909705     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2011.03.048     Document Type: Article
Times cited : (24)

References (14)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • Amann H. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Rev. 1976, 18:620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 2
    • 0346298422 scopus 로고
    • On stability criteria of chemical reaction engineering
    • Aris R. On stability criteria of chemical reaction engineering. Chem. Eng. Sc. 1969, 24:149-169.
    • (1969) Chem. Eng. Sc. , vol.24 , pp. 149-169
    • Aris, R.1
  • 4
    • 84968480610 scopus 로고
    • An upper bound for the first zero of Bessel functions
    • Chambers Ll.G. An upper bound for the first zero of Bessel functions. Math. Comp. 1982, 38(158):589-591.
    • (1982) Math. Comp. , vol.38 , Issue.158 , pp. 589-591
    • Chambers, L.1
  • 6
    • 0018318874 scopus 로고
    • Hysteresis, oscillations and pattern formation in realistic immobilized enzyme systems
    • Kernevez J.P., Joly G., Duban M.C., Bunow B., Thomas D. Hysteresis, oscillations and pattern formation in realistic immobilized enzyme systems. J. Math. Biol. 1979, 7:41-56.
    • (1979) J. Math. Biol. , vol.7 , pp. 41-56
    • Kernevez, J.P.1    Joly, G.2    Duban, M.C.3    Bunow, B.4    Thomas, D.5
  • 7
    • 0009397249 scopus 로고
    • The number of solutions of a nonlinear two point boundary value problem
    • Laetsch T. The number of solutions of a nonlinear two point boundary value problem. Indiana Univ. Math. J. 1970, 20(1):1-13.
    • (1970) Indiana Univ. Math. J. , vol.20 , Issue.1 , pp. 1-13
    • Laetsch, T.1
  • 8
    • 0000890960 scopus 로고
    • Thresholds and breakpoints in ecosystems with a multiplicity of stable states
    • May R.M. Thresholds and breakpoints in ecosystems with a multiplicity of stable states. Nature 1977, 269:471-477.
    • (1977) Nature , vol.269 , pp. 471-477
    • May, R.M.1
  • 9
    • 0001489341 scopus 로고
    • Stability of grazing systems an application of predator-prey graphs
    • Noy-Meir I. Stability of grazing systems an application of predator-prey graphs. J. Ecol. 1975, 63:459-482.
    • (1975) J. Ecol. , vol.63 , pp. 459-482
    • Noy-Meir, I.1
  • 10
    • 78049455194 scopus 로고    scopus 로고
    • Bistability dynamics in some structured ecological models
    • R.S. Cantrell, C. Cosner, S. Ruan (Eds.) Spatial Ecology
    • Jiang J., Shi J. Bistability dynamics in some structured ecological models. Chapman & Hall/CRC Math. Comput. Biol. Ser. 2009, 33-62. R.S. Cantrell, C. Cosner, S. Ruan (Eds.).
    • (2009) Chapman & Hall/CRC Math. Comput. Biol. Ser. , pp. 33-62
    • Jiang, J.1    Shi, J.2
  • 11
    • 32544446164 scopus 로고    scopus 로고
    • Multiple positive solutions for classes of p-Laplacian equations
    • Ramaswamy M., Shivaji R. Multiple positive solutions for classes of p-Laplacian equations. Differential Integral Equations 2004, 17(11-12):1255-1261.
    • (2004) Differential Integral Equations , vol.17 , Issue.11-12 , pp. 1255-1261
    • Ramaswamy, M.1    Shivaji, R.2
  • 12
    • 0021362409 scopus 로고
    • Modelling long term fluctuations in fish stocks
    • Steele J.H., Henderson E.W. Modelling long term fluctuations in fish stocks. Science 1984, 224:985-987.
    • (1984) Science , vol.224 , pp. 985-987
    • Steele, J.H.1    Henderson, E.W.2
  • 13
    • 0009439008 scopus 로고
    • A remark on the existence of three solutions via sub-super solutions
    • Shivaji R. A remark on the existence of three solutions via sub-super solutions. Nonlinear Analysis and Aplications 1987, 561-566.
    • (1987) Nonlinear Analysis and Aplications , pp. 561-566
    • Shivaji, R.1
  • 14
    • 21744459478 scopus 로고    scopus 로고
    • Implications of spatial heterogeneity for catastrophic regime shifts in ecosystems
    • H Van Nes E., Scheffer Martin Implications of spatial heterogeneity for catastrophic regime shifts in ecosystems. Ecology 2005, 86(7):1797-1807.
    • (2005) Ecology , vol.86 , Issue.7 , pp. 1797-1807
    • H Van Nes, E.1    Scheffer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.