Using Harvesting Models to Teach Modeling with Differential Equations

Autor/in	Diedrichs, Danilo R.
Titel	Using Harvesting Models to Teach Modeling with Differential Equations
Quelle	In: PRIMUS, 29 (2019) 7, S.712-723 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2018.1484397
Schlagwörter	Leitfaden; Unterricht; Lehrer; Mathematical Models; Equations (Mathematics); Calculus; Industry; Wildlife; Agricultural Occupations; College Mathematics; Agricultural Production; College Students; Illinois + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Teacher; Teachers; Lehrerin; Lehrende; Mathematical model; Mathematisches Modell; Equations; Mathematics; Gleichungslehre; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Industrie; Agriculture; Occupation; Landwirtschaft; Beruf; Landwirtschaftlicher Beruf; Production; Produktion; Agrarproduktion; Landwirtschaftliche Produktion; Collegestudent
Abstract	Harvesting models based on ordinary differential equations are commonly used in the fishery industry and wildlife management to model the evolution of a population depleted by harvest mortality. We present a project consisting of a series of scenarios based on fishery harvesting models to teach the application of theoretical concepts learned in a differential equations course to scenarios encountered in real fisheries. These projects require a thorough understanding of simplifying assumptions inherent in various models, as well as a qualitative analysis of phase portraits, bifurcations, and stability of steady states. Parameters are estimated and equations are sometimes solved both analytically and numerically. Students learn to respond to a professional request from a fishery in the form of a scientific report, which requires organizing and communicating assumptions, models, solution methods, results, and a final recommendation with clarity and professionalism. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01