Free Access
Issue
Math. Model. Nat. Phenom.
Volume 4, Number 6, 2009
Ecology (Part 1)
Page(s) 91 - 108
DOI https://doi.org/10.1051/mmnp/20094603
Published online 27 November 2009
  1. P. A. Abrams, H. Matsuda. Prey adaptation as a cause of predator-prey cycles. Evolution, 51 (1997),1742–1750.
  2. P. A. Abrams, C. J. Walters. Invulnerable prey and the paradox of enrichment. Ecology, 77 (1996), 1125–1133. [CrossRef]
  3. J. R. Beddington. Mutual interference between parasites or predators and its effect on searching efficiency. J. Anim. Ecol., 44 (1975), 331–340. [CrossRef]
  4. A. A. Berryman, B. A. Hawkins. The refuge as an integrating concept in ecology and evolution. Oikos, 115 (2006), No. 1, 192–196. [CrossRef]
  5. D. Bontje, B. W. Kooi, M. Liebig, S. A. L. M. Kooijman. Modelling long-term ecotoxicological effects on an algal population under dynamic nutrient stress. Water Research, 43 (2009), 3292–3300. [CrossRef] [PubMed]
  6. W. Brack, J. Bakker, E. de Deckere, C Deerenberg, J. van Gils, M Hein, P Jurajda, S. Kooijman, M. Lamoree, S. Lek, M.-J. López de Alda, A. Marcomini, I. Muñoz, S. Rattei, H. Segner, K. Thomas, P. von der Ohe, B. Westrich, D. de Zwart, M. Schmitt-Jansen. Models for assessing and forecasting the impact of environmental key pollutants on freshwater and marine ecosystems and biodiversity. Environmental Science & Pollution Research, 12 (2005), No. 5, 252–256. [CrossRef]
  7. D. L. DeAngelis. Dynamics of Nutrient Cycling and Food Webs. Number 9 in Population and Community Biology series. Chapman & Hall, London (1992).
  8. D. L. DeAngelis, R. A. Goldstein, R. V. O'Neill. A model for trophic interaction. Ecology, 56 (1975), 881–892. [CrossRef]
  9. V. Grimm, C. Wissel. Babel, or the ecological stability discussions: an inventory and analysis of terminology and a guide for avoiding confusion. Oecologia, 109 (1997), 323–334. [CrossRef] [PubMed]
  10. T. Gross, W. Ebenhöh, U. Feudel. Enrichment and foodchain stability: the impact of different forms of predator-prey interaction. J. Theor. Biol., 227 (2004), 349–358. [CrossRef] [PubMed]
  11. V. A. A. Jansen. Regulation of predator-prey systems through spatial interactions: a possible solution to the paradox of enrichment. Oikos, 74 (1995), 384–390. [CrossRef]
  12. K. L. Kirk. Enrichment can stabilize population dynamics: autotoxins and density depencence. Ecology, 79 (1998), 2456–2462. [CrossRef]
  13. B. W. Kooi. Numerical bifurcation analysis of ecosystems in a spatially homogeneous environment. Acta Biotheoretica, 51 (2003), No. 3, 189–222. [CrossRef] [PubMed]
  14. B. W. Kooi, J. C. Poggiale, P. Auger, S. A. L. M. Kooijman. Aggregation methods in food chains with nutrient recycling. Ecological Modelling, 157 (2002), No. 1, 69–86. [CrossRef]
  15. M. Kretzschmar, R. M. Nisbet, E McCauley. A predator–prey model for zooplankton grazing on competing algal populations. Theor. Popul. Biol., 44 (1993), 32–66. [CrossRef]
  16. M Kuwamura, T Nakazawa, T Ogawa. A minimum model of prey-predator system with dormancy of predators and the paradox of enrichment. Journal of Mathematical Biology, 58 (2009), No. 3, 459–479. [CrossRef] [MathSciNet] [PubMed]
  17. M. Liebig, G. Schmidt, D. Bontje, B. W. Kooi, G. Streck, W. Traunspurger, T. Knacker. Direct and indirect effects of pollutants on algae and algivorous ciliates in an aquatic indoor microcosm. Aquatic Toxicology, 88 (2008), 102–110. [CrossRef]
  18. Maplesoft. Maple. Maplesoft, Waterloo, Ontario, Canada (2003).
  19. A. Mitra, K. J. Flynn. Importance of interactions between food quality, quantity, and gut transit time on consumer feeding, growth, and trophic dynamics. The American Naturalist, 169 (2007), No. 5, 632–646. [CrossRef] [PubMed]
  20. A. M. Mood, F. A. Graybill, D. C. Boes. Introduction to the Theory of Statistics. McGraw-Hill, Inc., New York, 3th edition (1974).
  21. H. Müller, A. Schlegel. Responses of three freshwater planktonic ciliates with different feeding modes to cryptophyte and diatom prey. Aquat. Microb. Ecol., 17 (1999), 49–60. [CrossRef]
  22. M. M. Mullin, E. F. Stewart, F. J. Fuglister. Ingestion by planktonic grazers as a function of concentration of food. Limnol. Oceanogr., 20 (1975), 259–262. [CrossRef]
  23. R. A. Park, J. S. Clough. Aquatox for windows: A modular fate and effects model for aquatic ecosystems. Technical Report 2, EPA (2004).
  24. R.A. Park, J. S. Clough, M. C. Wellman. Aquatox: Modeling environmental fate and ecological effects in aquatic ecosystems. Ecological Modelling, 213 (2008), 1–15. [CrossRef]
  25. S. Petrovskii, B–L Li, H. Malchow. Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecol. Complex., 1 (2004), 37–47. [CrossRef]
  26. H. W. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery. Numerical Recipes in C. Cambridge University Press, Cambridge, 2nd edition (1992).
  27. M. L. Rosenzweig, R. H. MacArthur. Graphical representation and stability conditions of predator-prey interactions. The American Naturalist, 97 (1963), 209–223. [CrossRef]
  28. A. Saage, O. Vadstein, U. Sommer. Feeding behaviour of adult Centropages hamatus (Copepoda, Calanoida): Functional response and selective feeding experiments. Journal of Sea Research, 62 (2009), 16–21. [CrossRef]
  29. M. Scheffer, R. J. De Boer. Implications of spatial heterogeneity for the paradox of enrichment. Ecology, 76 (1995), 2270–2277. [CrossRef]
  30. S. L. Strom, C. B. Miller, B. W. Frost. What sets lower limits to phytoplankton stocks in high-nitrate, low-chlorophyll regions of the open ocean? Marine Ecology Progress Series, 193 (2000), 19–31. [CrossRef]
  31. G. A. K. Van Voorn, D. Stiefs, T. Gross, B. W. Kooi, U. Feudel, S. A. L. M. Kooijman. Stabilization due to predator interference: comparison of different analysis approaches. Mathematical Biosciences and Engineering, 5 (2008), No. 3,:567–583.
  32. M. Vos, B. W. Kooi, D. L. DeAngelis, W. M. Mooij. Inducible defences and the paradox of enrichment. Oikos, 105 (2004), 471–480. [CrossRef]
  33. T. Weisse, N. Karstens, V.C.L. Meyer, L. Janke, S. Lettner, K. Teichgräber. Niche separation in common prostome freshwater ciliates: the effect of food and temperature. Aquatic Microbial Ecology, 26 (2001),167–179.
  34. T. Weisse, B Kirchhoff. Feeding of the heterotrophic freshwater dinoflagellate Peridiniopsis berolinense on cryptophytes: analysis by flow cytometry and electronic particle counting. Aquat. Microb. Ecol., 12 (1997), 153–164. [CrossRef]

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