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Coexistence properties of some predator-prey systems under constant rate harvesting and stocking. (English) Zbl 0482.92015


MSC:

92D25 Population dynamics (general)
92D40 Ecology
65C20 Probabilistic models, generic numerical methods in probability and statistics
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[1] Brauer, F., Soudack, A. C., Jarosch, H. S.: Stabilization and destabilization of predator-prey systems under harvesting and nutrient enrichment. Int. J. Control 23, 553-573 (1976) · Zbl 0317.92003
[2] Brauer, F., Soudack, A. C.: Stability regions and transition phenomena for harvested predator-prey systems. J. Math. Biology 7, 319-337 (1979) · Zbl 0397.92019
[3] Brauer, F., Soudack, A. C.: Stability regions in predator-prey systems with constant-rate prey harvesting. J. Math. Biology 8, 55-71 (1979) · Zbl 0406.92020
[4] Brauer, F., Soudack, A. C.: Constant-rate stocking of predator-prey systems. J. Math. Biology 11, 1-14 (1981) · Zbl 0448.92020
[5] Griffel, D. H.: Harvesting competing populations. Rocky Mountain J. Math. 9, 87-91 (1979) · Zbl 0423.92031
[6] Holling, C. S.: The functional response of predators to prey density and its role in mimicry and population regulation. Mem. Ent. Soc. Canada 45, 1-73 (1965)
[7] Reading, A. J.: Models of competition between species: The effect of harvesting (unpublished data)
[8] Yodzis, P.: The effects of harvesting on competitive species. Bull. Math. Biol. 38, 97-109 (1976) · Zbl 0327.92002
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