Towards developing a general framework for modelling vertical migration in zooplankton
Tài liệu tham khảo
Adamson, 2012, When can we trust our model predictions? Unearthing structural sensitivity in biological systems, Proc. R. Soc. A, 469, 20120500, 10.1098/rspa.2012.0500
Allen, 2007
Bollens, 1989, Predator-induced diel verticalm igrationi n a planktonic copepod, J. Plankt. Res., 11, 1047, 10.1093/plankt/11.5.1047
Broom, 2013
Buesseler, 2007, Revisiting carbon flux through the oceans twilight zone, Science, 316, 567, 10.1126/science.1137959
Cordoleani, 2011, Structural sensitivity of biological models revisited, J. Theor. Biol., 283, 82, 10.1016/j.jtbi.2011.05.021
Cushing, J., 1998. An Introduction to Structured Population Dynamics. SIAM, Philadelphia.
Dagg, 1985, The effects of food limitation on diel migratory behavior in marine zooplankton, Archiv Hydrobiologie, 21, 247
Darwin, Ch., 1964. On the origin of species by means of natural selection, or preservation of favoured races in the struggle for life. A Facsimile of the First Edition. Harvard University Press, Cambridge MA.
De Robertis, 2002, Size-dependent visual predation risk and the timing of vertical migration, Limnol. Oceanogr., 47, 925, 10.4319/lo.2002.47.4.0925
Dieckmann, U., 2002. Adaptive dynamics of pathogen–host interactions. In: Dieckmann, U., Metz, J.A.J., Sabelis, M.W., Sigmund, K. (Eds.), Adaptive Dynamics of Infectious Diseases: Pursuit of Virulence Management. Cambridge University Press, pp. 39–59.
Dieckmann, 2006, The adaptive dynamics of function-valued traits, J. Theor. Biol., 241, 370, 10.1016/j.jtbi.2005.12.002
Ducklow, 2001, Upper ocean carbon export and the biological pump, Oceanography, 14, 50, 10.5670/oceanog.2001.06
Dupont, 2009, Diel vertical migration of the deep water jellyfish Periphylla periphylla simulated as individual responses to absolute light intensity, Limnol. Oceanogr., 54, 1765, 10.4319/lo.2009.54.5.1765
Fiksen, 1995, Vertical distribution and population dynamics of copepods by dynamic optimization, ICES J. Mar. Sci., 52, 483, 10.1016/1054-3139(95)80062-X
Fiksen, 1998, A model of optimal life history and diel vertical migration in Calanus finmarchicus, Sarsia, 83, 129, 10.1080/00364827.1998.10413678
Flik, 1993, Influence of food availability on the initiation of diel vertical migration (DVM) in Lake Maarsseveen, Arch. Hydrobiol. Beih. Ergebn. Limnol., 39, 57
Fortier, 2001, Visual predators and the diel vertical migration of copepods under arctic sea ice during the midnight sun, J Plankt. Res., 23, 1263, 10.1093/plankt/23.11.1263
Gabriel, 1988, Vertical migration of zooplankton as an evolutionarily stable strategy, Am. Nat., 132, 199, 10.1086/284845
Gabriel, W, Thomas, B., 1988. Ultimate causes of vertical migration in zooplankton: an evaluation by evolutionary game theory. In: Wolff, W., Soeden, C. J., Dreppen, E R. (Eds.), Ecodynamics. Contributions to Theoretical Ecology. Springer-Verlag, Berlin, pp. 127–134.
Geller, 1986, Diurnal vertical migration of zooplankton in a temperate great lake (L. Constance), Arch. Hydrobiol. Suppl., 74, 1
Geritz, 1998, Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree, Evol. Ecol., 12, 35, 10.1023/A:1006554906681
Gliwicz, 1986, A lunar cycle in zooplankton, Ecology, 67, 883897, 10.2307/1939811
Gorban, 2007, Selection Theorem for Systems with Inheritance, Math. Model. Nat. Phenom., 2, 1, 10.1051/mmnp:2008024
Han, 1998, Modeling patterns of zooplankton diel vertical migration, J. Plankt. Res., 20, 1463, 10.1093/plankt/20.8.1463
Han, 2001, Control mechanisms of diel vertical migration, J. Theor. Biol., 210, 305, 10.1006/jtbi.2001.2307
Haney., 1990, Light control of evening vertical migrations by Chaoborus punctipennis larvae, Limnol. Oceanogr., 35, 1068, 10.4319/lo.1990.35.5.1068
Hays, 2003, A review of the adaptive significance and ecosystem consequences of zooplankton diel vertical migrations, Hydrobiologia, 503, 163, 10.1023/B:HYDR.0000008476.23617.b0
Hill, 1991, Vertical migration in tidal currents, Mar. Ecol. Progr. Ser., 75, 39, 10.3354/meps075039
Hoyle, 2008, Can possible evolutionary outcomes be determined directly from the population dynamics?, Theor. Popul. Biol., 74, 311, 10.1016/j.tpb.2008.09.002
Huntley, 1982, Effects of age and food availability on diel vertical migration of Calanus pacificus, Mar. Biol., 71, 23, 10.1007/BF00396989
Iwasa, 1982, Vertical migration of zooplankton, Am. Nat., 120, 171, 10.1086/283980
Kaiser, 2005, 557
Karev, 2010, On mathematical theory of selection, J. Math. Biol., 60, 107, 10.1007/s00285-009-0252-0
Kuzenkov, 2004, The Cauchy problem for a class of nonlinear differential equations in a Banach space, Differ. Equations, 40, 23, 10.1023/B:DIEQ.0000028710.25531.0d
Kuzenkov, O.A., Ryabova, E.A., Dyrdin, O.Z., 2007. Analyzing the limiting characteristics of the solution of the initial-boundary—value problem for a hyperbolic first order system on a standard symplex. In: Proceedings of the State University of Nizhni Novgorod, vol. 5, pp. 78–81.
Kuzenkov, 2012, Optimal control of self-reproduction systems, J. Comput. Syst. Sci. Int., 51, 500, 10.1134/S1064230712020074
Kuzenkov, 2015, Limit possibilities of solution of a hereditary control system, Differ. Equations, 51, 523, 10.1134/S0012266115040096
Kuzenkov, 2015, Variational principle for self-replicating systems, Math. Model. Nat. Phenom., 10, 115, 10.1051/mmnp/201510208
Lampert, 1989, The adaptive significance of diel vertical migration of zooplankton, Funct. Ecol., 3, 21, 10.2307/2389671
Liu, 2003, Diel vertical migration of zooplankton following optimal food intake under predation, J. Plankt. Res., 25, 1069, 10.1093/plankt/25.9.1069
Liu, 2006, Viewing DVM via general behaviors of zooplankton, J. Theor. Biol., 238, 435, 10.1016/j.jtbi.2005.06.003
Mangel, 1988
McLaren, 1963, Effects of temperature on growth of zooplankton, and the adaptive value of vertical migration, J. Fish Board Can., 20, 685, 10.1139/f63-046
MATLAB. The Language of Technical Computing, version 7.8. Mathworks, Natick, MA.
Morozov, 2011, Nutrient-rich plankton communities stabilized via predator–prey interactions, Math. Med. Biol., 185, 10.1093/imammb/dqq010
Morozov, 2013, Revisiting the role of individual variability in population persistence and stability, PLoS ONE, 8, e70576, 10.1371/journal.pone.0070576
Ohman, 1990, The demographic benefits of diel vertical migration by zooplankton, Ecol. Monogr., 60, 257, 10.2307/1943058
Parvinen, 2006, Function-valued adaptive dynamics and the calculus of variations, J. Math. Biol., 52, 1, 10.1007/s00285-005-0329-3
Pearre, 2003, Eat and run? The hunger/satiation hypothesis in vertical migration, Biol. Rev., 78, 1, 10.1017/S146479310200595X
Pontryagin, 1987
Ringelberg, 1995, Changes in light intensity and diel vertical migration, J. Mar. Biol. Assoc. UK, 75, 15, 10.1017/S0025315400015162
Ringelberg, 2003
Staby, 2011, Follow the light – diurnal and seasonal variations in vertical distribution of the mesopelagic fish Maurolicus muelleri, Mar. Ecol. Progr. Ser., 422, 265, 10.3354/meps08938
Wright, 1986