Competing predators for a prey in a chemostat model with periodic nutrient input |
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| Authors: | Feng Yang H. I. Freedman |
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| Affiliation: | (1) Department of Mathematics, University of Alberta, T6G 2G1 Edmonton, Canada;(2) Applied Mathematics Institute, University of Alberta, T6G 2G1 Edmonton, Canada |
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| Abstract: | A system of ordinary differential equations is used to model the interactions of n competing predators on a single prey population in a chemostat environment with a periodic nutrient input. In the case of one or no predators, criteria for the existence of periodic solutions are given. In the general case, conditions for all populations to persist are derived.Research is in part based on a Ph.D. thesis submitted to the Faculty of Graduate Studies, University of AlbertaResearch is partly supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A4823 |
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| Keywords: | Chemostat Periodic input Periodic solutions Persistence Predator prey |
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