Summary
This paper studies the delay equation x k+1=λx k+F(x k−β), which has been employed as a model of baleen whale population dynamics. The two main questions discussed are (a) stability of equilibria, and (b) optimal exploitation policies.
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This paper was written while the author was visiting CSIRO Division of Fisheries & Oceanography, Cronulla, NSW, Australia. Support from CSIRO, from the National Research Council of Canada (Grant A-3990), and from the Killam Foundation is gratefully acknowledged. The author thanks Dr. K. R. Allen, Prof. V. T. Buchwald, Dr. B. S. Goh, and Dr. G. P. Kirkwood for their assistance.
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Clark, C.W. A delayed-recruitment model of population dynamics, with an application to baleen whale populations. J. Math. Biol. 3, 381–391 (1976). https://doi.org/10.1007/BF00275067
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DOI: https://doi.org/10.1007/BF00275067