Skip to main content
Log in

A mathematical model for the temporal pattern of a population structure, with particular reference to the flour beetle: II. Competition between species

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

The effect of competition between species is considered in terms of a mathematical model. It is found that, except for special relations among the parameters, only one species should remain, as is found experimentally. It is also found that unless new factors arise in the competition, one can calculate an index to predict which of the two species is most likely to become extinct. The index involves quantities measured from isolated populations. A preliminary extimate yields satisfactory values when compared with the experimental results of competition.

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

Similar content being viewed by others

Literature

  • Birch, L. C., T. Park, and M. B. Frank. 1951. “The Effect of Intraspecies and Interspecies Competition on the Fecundity of Two Species of Flour Beetles.”Evolution,5, 116–32.

    Article  Google Scholar 

  • Landahl, H. D. 1955. “A Mathematical Model for the Temporal Pattern of a Population Structure, with Particular Reference to the Flour Beetle.”Bull. Math. Biophysics,17, 63–77.

    Google Scholar 

  • Park, Thomas. 1948. “Experimental Studies on Interspecies Competition: I. Competition between Populations of Flour Beetles,Tribolium confusum Duval andTribolium castaneum Herbst.”Ecological Monographs,18, 265–308.

    Article  Google Scholar 

  • —. 1954. “Experimental Studies of Interspecies Competition. II. Temperature, Humidity, and Competition in Two Species ofTribolium.”Physiol. Zoöl.,27, 177–238.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Landahl, H.D. A mathematical model for the temporal pattern of a population structure, with particular reference to the flour beetle: II. Competition between species. Bulletin of Mathematical Biophysics 17, 131–140 (1955). https://doi.org/10.1007/BF02477991

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02477991

Keywords

Navigation