Predator influence on the growth of a population with three genotypes |
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Authors: | H. I. Freedman Paul Waltman |
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Affiliation: | (1) Department of Mathematics, University of Alberta, T6G2G1 Edmonton, Alberta, Canada;(2) Department of Mathematics, The University of Iowa, 52242 Iowa City, Iowa, USA |
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Abstract: | Summary A predator-prey system is proposed in which the prey species consists of three genotypes. It is shown that in the case of no predation, this system satisfies the Hardy-Weinberg principle. In the case where the genotype with the recessive gene has an advantage in its susceptibility to predation, it is shown that the other genotypes move toward extinction. Research for this paper was partially supported by the National Research Council of Canada Grant NRC A-4823, and was carried out while this author was visiting The University of Iowa. |
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Keywords: | Predator-prey system Selection model |
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