Parameter estimates in differential equation models for population growth.

• Autores: Brian Winkel
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 21, Nº. 2, 2011 (Ejemplar dedicado a: A Tribute to Brian J. Winkel), págs. 101-129
• Idioma: inglés
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• Resumen

  • We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and two-species competition models. We discuss student-evolved strategies and offer Mathematica code for a gradient search approach. We use historical (1930s) data from microbial studies of the Russian biologist, G. F. Gause, and estimate growth rates, carrying capacities, and �coefficients for the struggle for existence.�