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Multi-species population models and evolutionarily stable strategies

Published online by Cambridge University Press:  14 July 2016

W. G. S. Hines
W. G. S. Hines*
Affiliation:
University of Guelph
*
∗Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada, N1G 2W1.
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Abstract

The possibility that interspecific contest tactics might be able to stabilize two species predator-prey populations is investigated using a matrix model of the population. It is found that if the interspecific tactics have no influence on intraspecific encounters, the non-trivial equilibrium population composition is necessarily unstable. The result provides some insight into a reported instability of a predator-prey population with ‘stable' strategies.

Keywords

PREDATOR-PREY SYSTEMSEVOLUTIONARILY STABLE STRATEGIESINTERSPECIFIC CONFLICTSANIMAL CONFLICT MODELSDYNAMICAL POPULATION MODELSMULTI-SPECIES SYSTEMS
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 507 - 513
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Research supported by National Research Council Operating Grant A6187.

References

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