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All issues Volume 11 / No 4 (2016) Math. Model. Nat. Phenom., 11 4 (2016) 34-46 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 11, Number 4, 2016
Ecology, Epidemiology and Evolution
Page(s) 34 - 46
DOI https://doi.org/10.1051/mmnp/201611404
Published online 19 July 2016
  1. J.A.M. Borghans, R.J. De Boer, L.A. Segel. Extending the quasi-steady state approximation by changing variables. Bull. Math. Biol., 58 (1996) 43–63. [CrossRef] [PubMed] [Google Scholar]
  2. J.H. Brown, A. Kodric-Brown. Turnover rate in insular biogeography: Effect of immigration on extinction. Ecology, 58 (1977) 445–449. [CrossRef] [Google Scholar]
  3. R.J. De Boer, A.S. Perelson. Towards a general function describing T cell proliferation. J. Theor. Biol., 175 (1995) 567–576. [CrossRef] [PubMed] [Google Scholar]
  4. R.S. Etienne. Local populations of different sizes, mechanistic rescue effect and patch preference in the Levins metapopulation model. Bull. Math. Biol., 62 (2000) 943–958. [CrossRef] [PubMed] [Google Scholar]
  5. R.S. Etienne. A scrutiny of the Levins metapopulation model. Comments on Theoretical Biology, 7 (2002) 257–281. [CrossRef] [Google Scholar]
  6. M. Gyllenberg, I. Hanski. Single-species metapopulation dynamics: A structured model. Theor. Pop. Biol., 42 (1992) 35–61. [CrossRef] [Google Scholar]
  7. M. Gyllenberg, I. Hanski, A. Hastings. Structured metapopulation models. In I.A. Hanski and M.E. Gilpin (eds.), "Metapopulation biology: Ecology, genetics, and evolution", pp. 93–122, Academic Press, San Diego, CA, 1997. [Google Scholar]
  8. M. Gyllenberg, J.A.J. Metz. On fitness in structured metapopulations. J. Math. Biol., 43 (2001) 545–560. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  9. I. Hanski. Single-species spatial dynamics may contribute to long-term rarity and commonness. Ecology, 66 (1985) 335–343. [CrossRef] [Google Scholar]
  10. I. Hanski. Single-species metapopulation dynamics: concepts, models and observations. Biol. J. Linnean Soc., 42 (1991) 17–38. [CrossRef] [Google Scholar]
  11. I. Hanski. Metapopulation Ecology. Oxford Series in Ecology and Evolution, 324pp., Oxford University Press, New York, 1999. [Google Scholar]
  12. I. Hanski, M. Gilpin. Metapopulation dynamics: brief history and conceptual domain. Biol. J. Linnean Soc., 42 (1991) 3–16. [CrossRef] [Google Scholar]
  13. I. Hanski, M. Gyllenberg. Two general metapopulation models and the core-satellite species hypothesis. Am. Nat., 142 (1993) 17–41. [CrossRef] [Google Scholar]
  14. I. Hanski, D. Simberloff. The metapopulation approach: Its history, conceptual domain, and application to conservation. In I.A. Hanski and M.E. Gilpin (eds.), "Metapopulation biology: Ecology, genetics, and evolution", pp. 5–26, Academic Press, San Diego, CA, 1997. [Google Scholar]
  15. A. Hastings. A metapopulation model with population jumps of varying sizes. Math. Biosci., 128 (1995) 285–298. [CrossRef] [PubMed] [Google Scholar]
  16. G. Huisman, R.J. De Boer. A formal derivation of the "Beddington" functional response. J. Theor. Biol., 185 (1997) 389–400. [CrossRef] [Google Scholar]
  17. R. Levins. Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. Entomol. Soc. Am., 15 (1969) 237–240. [Google Scholar]
  18. R. Levins. Extinction. In M. Gerstenhaber (ed.), "Some Mathematical Problems in Biology", Lectures on Mathematics in the Life Sciences, Vol. 2, pp. 75–107, American Mathematical Society, Providence, Rhode Island, 1970. [Google Scholar]
  19. R. Levins, D. Culver. Regional coexistence of species and competition between rare species. Proc. Nat. Acad. Sci. USA, 68 (1971) 1246–1248. [CrossRef] [Google Scholar]
  20. A.J. Lotka. Elements of Physical Biology. Williams and Wilkins, Baltimore, 1925. [Google Scholar]
  21. A.J. Lotka. Elements of Mathematical Biology. Dover, New York, 1956. [Google Scholar]
  22. M.G. Pedersen, A.M. Bersani, E. Bersani. The total quasi-steady-state approximation for fully competitive enzyme reactions. Bull. Math. Biol., 69 (2007) 433–457. [CrossRef] [PubMed] [Google Scholar]
  23. K.R. Schneider, T. Wilhelm. Model reduction by extended quasi-steady-state approximation. J. Math. Biol., 40 (2000) 443–450. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  24. S. Schnell, M.J. Chappell, N.D. Evans, M.R. Roussel. The mechanism distinguishablility problem in biochemical kinetics: The single-enzyme, single-substrate reaction as a case study. C.R. Biologies, 329 (2006) 51–61. [CrossRef] [Google Scholar]
  25. L.A. Segel, M. Slemrod. The quasi steady-state assumption: A case study in perturbation. SIAM Rev., 31 (1989) 446–477. [CrossRef] [MathSciNet] [Google Scholar]
  26. A.R. Tzafriri, E.R. Edelman. The total quasi-steady-state approximation is valid for reversible enzyme kinetics. J. Theor. Biol., 226 (2004) 303–313. [CrossRef] [PubMed] [Google Scholar]
  27. V. Volterra. Variazione e fluttuazioni del numero d'individui in specie animali conviventi. Mem. Acad. Lincei., 6 (1926) 30–113. [Google Scholar]

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