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Multi-species population models and evolutionarily stable strategies

  • W. G. S. Hines (a1)

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.

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Corresponding author

Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada, N1G 2W1.

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Research supported by National Research Council Operating Grant A6187.

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References

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Auslander, D., Guckenheiner, J. and Oster, G. (1978) Random evolutionarily stable strategies. Theoret. Popn. Biol 13, 276293.
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Keywords

Multi-species population models and evolutionarily stable strategies

  • W. G. S. Hines (a1)

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