Emphasizing Visual Tools: Using R to Understand Dynamic Models of Biology and Epidemiology

Autor/in	Dayal, Vikram
Titel	Emphasizing Visual Tools: Using R to Understand Dynamic Models of Biology and Epidemiology
Quelle	In: International Journal of Mathematical Education in Science and Technology, 54 (2023) 5, S.888-900 (13 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Dayal, Vikram)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2022.2047811
Schlagwörter	Biology; Visual Aids; Epidemiology; Science Instruction; Programming Languages; Teaching Methods; Undergraduate Students; Computer Software; Models; Prior Learning; Mathematics Instruction; Simulation; COVID-19; Pandemics; Calculus; Immunization Programs; Foreign Countries; Israel + Suchen Sie Ihr Suchwort? Biologie; Anschauungsmaterial; Epidemiologie; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Analogiemodell; Vorkenntnisse; Mathematics lessons; Mathematikunterricht; Simulation program; Simulationsprogramm; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Immunisierung; Ausland
Abstract	Epidemiological models have enhanced relevance because of the COVID-19 pandemic. In this note, we emphasize visual tools that can be part of a learning module geared to teaching the SIR epidemiological model, suitable for advanced undergraduates or beginning graduate students in disciplines where the level of prior mathematical knowledge of students may not be very strong. Visual tools -- phase portrait, flow field and trajectory and line plots -- available in the R software are presented in a step by step manner, moving from the exponential growth model to the logistic growth model and then to the SIR model. Code for numerical simulation of differential equations and estimation of parameters is presented for the SIR model. Suggestions for students to connect the learning from these examples with research papers on COVID-19 are provided. (As Provided).
Anmerkungen	Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01