Discrete Time Optimal Harvesting of Fish Populations with Age Structure

Authors

  • Wandi Ding Department of Mathematical Sciences and Center for Computational Science, Middle Tennessee State University, Murfreesboro, TN Author
  • Suzanne Lenhart Department of Mathematics, University of Tennessee and National Institute for Mathematical and Biological Synthesis, Knoxville, TN Author
  • Horst Behncke Fachbereich Mathematik/Informatik, Universitat Osnabruck, Osnabruck, Germany Author

DOI:

https://doi.org/10.30707/LiB1.2Ding

Keywords:

optimal harvesting, discrete model, age structure

Abstract

We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to find the optimal net size. Using the extension of Pontryagin's Maximum Principle to discrete systems, we are able to derive the necessary conditions and the characterizations for the optimal harvesting strategies. Numerical simulations for both Beverton-Holt and Ricker recruitment functions are provided.

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Published

2023-11-11

Issue

Section

Research

How to Cite

Discrete Time Optimal Harvesting of Fish Populations with Age Structure. (2023). Letters in Biomathematics, 1(2), 193-207. https://doi.org/10.30707/LiB1.2Ding

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