SIMIODE - Tags: harvest

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08 Aug 2021 | | Contributor(s):: Jennifer Crodelle

This modeling scenario will introduce students to the concept of a bifurcation through a fish harvesting model. This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this...

1-127-S-FishHarvesting-StudentVersion

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06 May 2020 | | Contributor(s):: Will Mitchell

We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).

2017-Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala - Mathematical Modeling Applied to Sustainable Management of Marine Resources

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27 Mar 2020 | | Contributor(s):: Brian Winkel

Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344. Abstract: In this work, we formulate and study a nonlinear mathematical model of...

2006-Lingefjard, Thomas - Faces of mathematical modeling

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25 Mar 2020 | | Contributor(s):: Brian Winkel

Lingefjard, Thomas. 2006. Faces of mathematical modeling. ZDM. 38(2): 96-112.See https://subs.emis.de/journals/ZDM/zdm062a3.pdf .Abstract: In this paper I will discuss and exemplify my perspectives on how to teach mathematical modeling, as well as discuss quite different faces of...

2015-Doust, Rahmani M.H. and Mansour Saraj - The logistic modeling population: having harvesting factor.

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20 Mar 2020 | | Contributor(s):: Brian Winkel

Doust, Rahmani M.H. and Mansour Saraj. 2015. The logistic modeling population: having harvesting factor. Yugoslav Journal of Operations Research. 25(1): 107-115.See http://elib.mi.sanu.ac.rs/files/journals/yjor/51/yujorn48p107-115.pdf .Abstract: The present paper deals...

2013-Bourne, Murray - Modeling fish stocks.

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13 Mar 2020 | | Contributor(s):: Brian Winkel

Bourne, Murray. 2012. Modeling fish stocks. SquareCirclez The IntMath blog. See https://www.intmath.com/blog/mathematics/modeling-fish-stocks-7377 .Mathematical modeling for better fish managementIt is possible to have a sustainable fishing industry with...

1-143-S-PopulationModelVariationsMATLAB

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17 Feb 2019 | | Contributor(s):: Bill Skerbitz

Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

1986-Cook, K. L. and M. Witten - One-dimensional linear and logistic harvesting models.

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09 Dec 2018 | | Contributor(s):: Brian Winkel

Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.See https://core.ac.uk/download/pdf/81116076.pdf .Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and...

2017-Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni - Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest

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07 Mar 2018 | | Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni

Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

2018-Unknown - The Logistic Differential Equation - Notes

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03 Mar 2018 | | Contributor(s):: Brian Winkel

The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...

2009-Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur - Bioeconomic harvesting of a pre-predator fishery.

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03 Mar 2018 | | Contributor(s):: Tapasi Das

Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.See https://pubmed.ncbi.nlm.nih.gov/22880894/ . Abstract: This paper deals with the problem of non-selective harvesting of a...

2015-Endale, Mersha Amdie - Some application of first order differential equations to real world system. Masters Thesis.

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26 Nov 2017 | | Contributor(s):: Brian Winkel

Endale, Mersha Amdie. 2015. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the...

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

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