Modelling population growth and sustainable harvesting

• Autores: J. T. Sandefur
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 55, Nº. 2, 2024, págs. 407-441
• Idioma: inglés
• DOI: 10.1080/0020739X.2023.2245835
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• Resumen

  • In this paper, we discuss how a professor could have students, using rational and exponential functions, develop models for several different density-dependent populations based on characteristics of the species. Students would then need to choose an appropriate method from among three different analytic methods (find a solution, phase-line analysis, graphing approximate solutions) to analyse their models. We then discuss how to use aspects of a species' behaviour to choose an appropriate model from among the ones developed. Finally, we show how a professor could apply what students have learned to develop general principles for sustainable harvesting of such species.