2011-Wentworth, Corinne, Masami Fujiwara, and Jay Walton - Optimal harvesting models for fishery populations.

By Brian Winkel

SIMIODE, Chardon OH USA

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Abstract

Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011.  Optimal harvesting models for fishery populations. REU paper.  17 pp.

Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population but because of this some fish populations have been dangerously declining. It is important to balance ecological and economic needs. In this paper we investigate various deterministic models of fishery populations. A simple logistic model, a skewed logistic model with a quadratic term, and a model that demonstrates the Allee effect have all been considered with a constant harvest rate as well as time dependent harvesting. Optimization and numerical calculations were used to determine the harvest rate that produces maximum yield under different population density scenerios.

This paper presents the research and findings done at the Texas A&M Research Experience for Undergraduates in Mathematics on ”Mathematical Modeling in Ecology and Physiology,” during the summer of 2011

Keywords:  differential equation, model, harvest, logistic, renewable resource, constant harvest, stability,  maximum sustainable yield, whale, data, Matlab, equilbrium

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Researchers should cite this work as follows:

  • Brian Winkel (2017), "2011-Wentworth, Corinne, Masami Fujiwara, and Jay Walton - Optimal harvesting models for fishery populations.," https://www.simiode.org/resources/4174.

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