Abstract
In previous work (Freedman and Wolkowicz, 1986;Bull. math. Biol. 48, 493–508) it was shown that in a predator-prey system where the prey population exhibits group defence, it is possible that enrichment of the environment could lead to extinction of the predator population.
In this paper a third population is introduced and criteria are derived under which persistence of all populations will occur. In particular, criteria for a superpredator and for a competitor to stabilize the system in the sense of persistence are analyzed.
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Research partially supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. NSERC A 4823.
This research was carried out while the author was a visiting scholar at the University of Alberta.
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Freedman, H.I., Hongshun, Q. Interactions leading to persistence in predator-prey systems with group defence. Bltn Mathcal Biology 50, 517–530 (1988). https://doi.org/10.1007/BF02458850
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DOI: https://doi.org/10.1007/BF02458850