메뉴 건너뛰기




Volumn 61, Issue 2, 2010, Pages 277-318

Erratum to: Daphnia revisited: local stability and bifurcation theory for physiologically structured population models explained by way of an example (Journal of Mathematical Biology, (2010), 61, 2, (277-318), 10.1007/s00285-009-0299-y);Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example

Author keywords

Characteristic equation; Delay equations; Linearised stability; Physiologically structured population models; Size structure

Indexed keywords

DAPHNIA;

EID: 77953082008     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-017-1148-z     Document Type: Erratum
Times cited : (91)

References (39)
  • 1
    • 37149047343 scopus 로고    scopus 로고
    • Demographic analysis of continuous-time life-history models
    • de Roos AM (2008) Demographic analysis of continuous-time life-history models. Ecol Lett 11: 1-15.
    • (2008) Ecol Lett , vol.11 , pp. 1-15
    • de Roos, A.M.1
  • 2
    • 0034891388 scopus 로고    scopus 로고
    • Physiologically structured models-from versatile technique to ecological theory
    • de Roos AM, Persson L (2001) Physiologically structured models-from versatile technique to ecological theory. Oikos 94: 51-71.
    • (2001) Oikos , vol.94 , pp. 51-71
    • de Roos, A.M.1    Persson, L.2
  • 3
    • 0037289893 scopus 로고    scopus 로고
    • Competition in size-structured populations: Mechanisms inducing cohort formation and population cycles
    • de Roos AM, Persson L (2003) Competition in size-structured populations: mechanisms inducing cohort formation and population cycles. Theor Popul Biol 63: 1-16.
    • (2003) Theor Popul Biol , vol.63 , pp. 1-16
    • de Roos, A.M.1    Persson, L.2
  • 4
    • 51249173198 scopus 로고
    • A size dependent predator-prey interaction: Who pursues whom?
    • de Roos AM, Metz JAJ, Evers E, Leipoldt A (1990) A size dependent predator-prey interaction: who pursues whom?. J Math Biol 28: 609-643.
    • (1990) J Math Biol , vol.28 , pp. 609-643
    • de Roos, A.M.1    Metz, J.A.J.2    Evers, E.3    Leipoldt, A.4
  • 5
    • 77951231760 scopus 로고    scopus 로고
    • Numerical equilibrium analysis for structured consumer resource models
    • doi: 10.1007/s11538-009-9445-3
    • de Roos AM, Diekmann O, Getto Ph, Kirkilionis MA (2009) Numerical equilibrium analysis for structured consumer resource models. Bull Math Biol. doi: 10.1007/s11538-009-9445-3.
    • (2009) Bull Math Biol.
    • de Roos, A.M.1    Diekmann, O.2    Getto, P.3    Kirkilionis, M.A.4
  • 6
    • 18144412421 scopus 로고    scopus 로고
    • Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations
    • Diekmann O, Getto P (2005) Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations. J Differ Equ 215: 268-319.
    • (2005) J Differ Equ , vol.215 , pp. 268-319
    • Diekmann, O.1    Getto, P.2
  • 7
    • 70350654657 scopus 로고    scopus 로고
    • Abstract delay equations inspired by population dynamics
    • In: Amann H, Arendt W, Hieber M, Neubrander F, Nicaise S, von Below J (eds) Birkhäuser
    • Diekmann O, Gyllenberg M (2008) Abstract delay equations inspired by population dynamics. In: Amann H, Arendt W, Hieber M, Neubrander F, Nicaise S, von Below J (eds) Functional analysis and evolution equations. Birkhäuser, pp 187-200.
    • (2008) Functional analysis and evolution equations , pp. 187-200
    • Diekmann, O.1    Gyllenberg, M.2
  • 10
    • 0000201875 scopus 로고    scopus 로고
    • On the formulation and analysis of general deterministic structured population models: I. Linear theory
    • Diekmann O, Gyllenberg M, Metz JAJ, Thieme HR (1998) On the formulation and analysis of general deterministic structured population models: I. Linear theory. J Math Biol 36: 349-388.
    • (1998) J Math Biol , vol.36 , pp. 349-388
    • Diekmann, O.1    Gyllenberg, M.2    Metz, J.A.J.3    Thieme, H.R.4
  • 11
    • 0034409721 scopus 로고    scopus 로고
    • Lack of uniqueness in transport equations with a nonlocal nonlinearity
    • Diekmann O, Gyllenberg M, Thieme HR (2000) Lack of uniqueness in transport equations with a nonlocal nonlinearity. Math Models Methods Appl Sci 10: 581-592.
    • (2000) Math Models Methods Appl Sci , vol.10 , pp. 581-592
    • Diekmann, O.1    Gyllenberg, M.2    Thieme, H.R.3
  • 12
    • 0035433541 scopus 로고    scopus 로고
    • On the formulation and analysis of general deterministic structured population models: II. Nonlinear theory
    • Diekmann O, Gyllenberg M, Huang H, Kirkilionis M, Metz JAJ, Thieme HR (2001) On the formulation and analysis of general deterministic structured population models: II. Nonlinear theory. J Math Biol 43: 157-189.
    • (2001) J Math Biol , vol.43 , pp. 157-189
    • Diekmann, O.1    Gyllenberg, M.2    Huang, H.3    Kirkilionis, M.4    Metz, J.A.J.5    Thieme, H.R.6
  • 13
    • 0141433304 scopus 로고    scopus 로고
    • Steady-state analysis of structured population models
    • Diekmann O, Gyllenberg M, Metz JAJ (2003) Steady-state analysis of structured population models. Theor Popul Biol 63: 309-338.
    • (2003) Theor Popul Biol , vol.63 , pp. 309-338
    • Diekmann, O.1    Gyllenberg, M.2    Metz, J.A.J.3
  • 14
    • 39749113268 scopus 로고    scopus 로고
    • Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars
    • Diekmann O, Getto P, Gyllenberg M (2007) Stability and bifurcation analysis of Volterra functional equations in the light of suns and stars. SIAM J Math Anal 39: 1023-1069.
    • (2007) SIAM J Math Anal , vol.39 , pp. 1023-1069
    • Diekmann, O.1    Getto, P.2    Gyllenberg, M.3
  • 16
    • 0001415762 scopus 로고
    • Fluctuation periodicity, generation separation, and the expression of larval competition
    • Gurney WSC, Nisbet RM (1985) Fluctuation periodicity, generation separation, and the expression of larval competition. Theor Popul Biol 28: 150-180.
    • (1985) Theor Popul Biol , vol.28 , pp. 150-180
    • Gurney, W.S.C.1    Nisbet, R.M.2
  • 20
    • 38249027367 scopus 로고
    • Period to delay ratio near stability boundaries for systems with delayed feedback
    • Jones AE, Nisbet RM, Gurney WSC, Blythe SP (1988) Period to delay ratio near stability boundaries for systems with delayed feedback. J Math Anal Appl 135: 354-368.
    • (1988) J Math Anal Appl , vol.135 , pp. 354-368
    • Jones, A.E.1    Nisbet, R.M.2    Gurney, W.S.C.3    Blythe, S.P.4
  • 21
    • 4544313738 scopus 로고
    • Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
    • Khibnik AI, Kuznetsov YA, Levitin VV, Nikolaev EV (1993) Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Physica D 62: 360-371.
    • (1993) Physica D , vol.62 , pp. 360-371
    • Khibnik, A.I.1    Kuznetsov, Y.A.2    Levitin, V.V.3    Nikolaev, E.V.4
  • 24
    • 0021283893 scopus 로고
    • On the dynamics of chemically stressed populations: The deduction of population consequences from effects on individuals
    • Kooijman SALM, Metz JAJ (1984) On the dynamics of chemically stressed populations: the deduction of population consequences from effects on individuals. Ecotoxicol Environ Saf 8: 254-274.
    • (1984) Ecotoxicol Environ Saf , vol.8 , pp. 254-274
    • Kooijman, S.A.L.M.1    Metz, J.A.J.2
  • 25
    • 0029521324 scopus 로고
    • Analysis of a delayed two-stage population model with space-limited recruitment
    • Kuang Y, So JW-H (1995) Analysis of a delayed two-stage population model with space-limited recruitment. SIAM J Appl Math 55: 1675-1696.
    • (1995) SIAM J Appl Math , vol.55 , pp. 1675-1696
    • Kuang, Y.1    So, J.W.-H.2
  • 28
    • 85027545123 scopus 로고    scopus 로고
    • Kuznetsov YA, Levitin VV, Skovoroda AR (1996) Continuation of stationary solutions to evolution problems in content. Report AM-R9611, Centre for Mathematics and Computer Science, Amsterdam.
  • 29
    • 38749095093 scopus 로고    scopus 로고
    • On integrated semigroups and age structured models in Lp spaces
    • Magal P, Ruan S (2007) On integrated semigroups and age structured models in Lp spaces. Differ Int Equ 20:197-239.
    • (2007) Differ Int Equ , vol.20 , pp. 197-239
    • Magal, P.1    Ruan, S.2
  • 30
    • 85027552563 scopus 로고    scopus 로고
    • Magal P, Ruan S (2009) Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Memoirs Am Math Soc 202(951).
  • 31
    • 55249113204 scopus 로고    scopus 로고
    • Small-amplitude cycles emerge from stage-structured interactions in Daphnia-algal systems
    • McCauley E, Nelson WA, Nisbet RM (2008) Small-amplitude cycles emerge from stage-structured interactions in Daphnia-algal systems. Nature 455: 1240-1243.
    • (2008) Nature , vol.455 , pp. 1240-1243
    • McCauley, E.1    Nelson, W.A.2    Nisbet, R.M.3
  • 32
    • 27144487509 scopus 로고    scopus 로고
    • Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay
    • Meng XZ, Han D, Song Y (2005) Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay. Math Comput Model 41: 1445-1455.
    • (2005) Math Comput Model , vol.41 , pp. 1445-1455
    • Meng, X.Z.1    Han, D.2    Song, Y.3
  • 33
    • 0003460375 scopus 로고
    • The dynamics of physiologically structured populations
    • Metz JAJ, Diekmann O (eds), Springer, Berlin. A pdf version
    • Metz JAJ, Diekmann O (eds) (1986) The dynamics of physiologically structured populations. Lecture Notes in Biomathematics, vol 68. Springer, Berlin. A pdf version: http://www. iiasa. ac. at/Research/EEP/Metz2Book. html.
    • (1986) Lecture Notes in Biomathematics , vol.68
  • 37
    • 0000340781 scopus 로고
    • Well-posedness of physiologically structured population models for Daphnia magna
    • Thieme HR (1988) Well-posedness of physiologically structured population models for Daphnia magna. J Math Biol 26: 299-317.
    • (1988) J Math Biol , vol.26 , pp. 299-317
    • Thieme, H.R.1
  • 38
    • 84972549029 scopus 로고
    • Semiflows generated by Lipschitz perturbations of non-densely defined operators
    • Thieme HR (1990) Semiflows generated by Lipschitz perturbations of non-densely defined operators. Differ Int Equ 3: 1035-1066.
    • (1990) Differ Int Equ , vol.3 , pp. 1035-1066
    • Thieme, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.