Skip to main content
Log in

Mathematical models and population cycles: A critical evaluation of a recent modeling effort

  • Published:
Journal of Mathematical Biology Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Chitty, D.: Population processes in the vole and their relevance to general theory. Can. J. Zool. 38, 99–113 (1960)

    Google Scholar 

  • Chitty, D.: The natural selection of self-regulatory behavior in animal populations. Proc. Ecol. Soc. Australia 2, 51–78 (1967)

    Google Scholar 

  • Conley, W., Nichols, J. D.: The use of models in small mammal population studies. In: Populations of small mammals under natural conditions (D. P. Snyder, ed.) pp. 14–35, Pymatuning Laboratory Spec. Publ. Ser. 5, 1978

  • Dekker, H.: A simple mathematical model of rodent population cycles. J. Math. Biol. 2, 57–67 (1975)

    Google Scholar 

  • Hutchinson, G. E.: Circular causal systems in ecology. Annals New York Acad. Sci. 50, 221–246 (1948)

    Google Scholar 

  • Hutchinson, G. E.: Variations on a theme by Robert MacArthur. In: Ecology and evolution of communities (M. L. Cody, J. M. Diamond, eds.) pp. 492–521, Cambridge, Mass.: Belknap, 1975

    Google Scholar 

  • Krebs, C. J., Myers, J. H.: Population cycles in small mammals. Advances in Ecol. Research 8, 267–399 (1974)

    Google Scholar 

  • Krebs, C. J., Gaines, M. S., Keller, B. L., Myers, J. H., Tamarin, R. H.: Population cycles in small rodents. Science 179, 35–41 (1973)

    Google Scholar 

  • Myers, J. H., Krebs, C. J.: Population cycles in rodents. Sci. Amer. 230, 38–46 (1974)

    Google Scholar 

  • Wangersky, P. J., Cunningham, W. J.: Time lag in population models. Cold Spring Harbor Symp. Quant. Biol. 22, 329–338 (1958)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nichols, J.D., Hestbeck, J.B. & Conley, W. Mathematical models and population cycles: A critical evaluation of a recent modeling effort. J. Math. Biology 8, 259–263 (1979). https://doi.org/10.1007/BF00276311

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00276311

Keywords

Navigation