Part 5.1 of this module is based on the first part of a Mathcad module by Len Lipkin, University of North Florida, entitled Models for Fishing with Harvesting: Effort and Yield. Professor Lipkin was a participant in the Duke University project Interactive Modules for Courses Following Calculus, 1993-97, funded by the National Science Foundation.
The rest of Part 5 is based on a Mathematica laboratory, Logistic Modeling of Maine Lobsters, by William Barker of Bowdoin College and John Dollhopf of Pennsylvania State University, written during 1994-95, also with the support of the National Science Foundation. Mike Fogarty of the National Marine Fisheries Service in Woods Hole, Massachusetts, assisted in assembling the references and data. This lab was subsequently published in Mathematica Laboratory Manual to Accompany Calculus: Modeling and Application, by William Barker, David Smith, and Lawrence Moore, D. C. Heath, 1996.
The ideas and details in Part 5 are based upon the following references.
[1] Beltrami, Mathematics for Dynamic Modeling, pp. 64, 158-162, 203-204, 236-243, & 252.
[2] Borrelli, Coleman, and Boyce, Differential Equations Laboratory Workbook, Wiley, 1992, pp. 99-104.
[3] Carlton and Perloff, Modern Industrial Organization, pp. 149-154.
[4] C. W. Clark, Bioeconomic Modelling and Fisheries Management.
[5] D. Hughes-Hallett et al., Calculus, Wiley, 1994, pp. 446-450.
[6] A. L. Jensen, "Comparison of Logistic Equations for Population Growth," Biometrics, 31: 853-862.
[7] A. L. Jensen, "Assessment of the Maine Lobster Fishery with Surplus Production Models," North American Journal of Fisheries Management, 6: 63-68.
[8] Wan, Mathematical Models and Their Analysis, pp. 241-266.
[9] Dow, Bell, and Harriman, "Bioeconomic Relationship for the Maine Lobster Fishery with Consideration of Alternative Management Schemes," NOAA Technical Report NMFS SSRF-683.
References
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