The bulletin of mathematical biophysics

, Volume 17, Issue 2, pp 131–140 | Cite as

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

  • H. D. Landahl


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.


Temporal Pattern Survival Function Biophysics Volume Pupal Stage Lower Case Letter 
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  1. 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.CrossRefGoogle Scholar
  2. 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
  3. 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.CrossRefGoogle Scholar
  4. —. 1954. “Experimental Studies of Interspecies Competition. II. Temperature, Humidity, and Competition in Two Species ofTribolium.”Physiol. Zoöl.,27, 177–238.Google Scholar

Copyright information

© The University of Chicago Press 1955

Authors and Affiliations

  • H. D. Landahl
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicagoUSA

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