Advertisement

Malthus, Verhulst and all that

  • Mimmo Iannelli
  • Andrea Pugliese
Chapter
  • 1.8k Downloads
Part of the UNITEXT book series (UNITEXT, volume 79)

Abstract

Such a harsh note by the editor, against the comments received by the Essay [9], takes us back to the atmosphere of those times and to the discussions that the Principle of population sustained by Thomas Robert Malthus, caused and fed since the first edition of the book in 1798. Actually this Principle can be stated in a few words:

Keywords

Functional Response Intraspecific Competition Generalist Predator Basic Reproduction Number Scramble Competition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Allee, W.C.: Animal Aggregations, The University of Chicago, Chicago press (1931)Google Scholar
  2. 2.
    Clark, C.W.: Mathematical Bioeconomics: The Mathematics of Conservation, 3rd edition, John Wiley and Sons, New Jersey (2010)Google Scholar
  3. 3.
    Gause, G.F.: Verifications Sperimentales de la Theorie Mathematique de la Lutte pour la Vie. Actualites scientifiques et industrielles 277, Hermann et C. editeurs , Paris (1935)Google Scholar
  4. 4.
    Hadamard, J.: Sur les problèmes aux dérivées partielles et leur signification physique, Princeton University Bulletin, 49–52 (1902)Google Scholar
  5. 5.
    Hille, E., Phillips, R.S.: Functional Analysis and Semigroups, American Mathematical Society colloquium publications 31 (1957)Google Scholar
  6. 6.
    Holling, C.S.: The Component of Predation as Revealed by a Study of Small-Mammal Predation of the European Pine Sawfly, The Canadian Entomologist 91, 293–320 (1959)CrossRefGoogle Scholar
  7. 7.
    Holling, C.S.: The functional response of predators to prey density and its role in mimicry and population regulation, Memoirs of the Entomological Society of Canada 45, 5–60 (1965)Google Scholar
  8. 8.
    Ludwig, D., Jones, D.D., Holling, C.S.: Qualitative Analysis of Insect Outbreak Systems: The Spruce Budworm and Forest, Journal of Animal Ecology 47, 315–332 (1978)CrossRefGoogle Scholar
  9. 9.
    Malthus, T.R.: An Essay on the Principle of Population. J. Johnson editor, London (1798)Google Scholar
  10. 10.
    Malthus, T.R.: Saggio sul Principio di Popolazione (1798), a cura di G. Maggioni. Piccola biblioteca Einaudi 312 (1977)Google Scholar
  11. 11.
    Roughgarden, J.: Theory of Population Genetics and Evolutionary Ecology : An Introduction, Macmillan (1979)Google Scholar
  12. 12.
    Verhulst, P.F.: Notice sur la loi que la population suit dans son accroissement, Correspondance mathematique et physique publie par A. Quetelet (Brussels) X , 113–121 (1838)Google Scholar
  13. 13.
    Volterra, V.: Variazioni e fluttuazioni del numero d'individui in specie animali conviventi, Mem. della R. Accademia dei Lincei, ser. VI, vol II, 31–113 (1926)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Mimmo Iannelli
    • 1
  • Andrea Pugliese
    • 1
  1. 1.Department of MathematicsUniversity of TrentoItaly

Personalised recommendations