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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2017, Volume : 36e, Issue : 2
First page : ( 311) Last page : ( 315)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.
Article DOI : 10.5958/2320-3226.2017.00033.9

A linear population model for diabetes mellitus

Vanitha R1,*, Porchelvi R Sophia2

1Associate Professor, Dept. of Mathematics, A.D.M. College for Women (Autonomous), Nagapattinam, Tamil Nadu-611001, India. E-mail: vanithaadmc@gmail.com

2Associate Professor, Dept. of Mathematics, A.D.M. College for Women (Autonomous), Nagapattinam, Tamil Nadu-611001, India. E-mail: sophiaporchelvi@gmail.com

*Corresponding Author: Vanitha R, Associate Professor, Dept.of Mathematics, A.D.M. College for Women (Autonomous), Nagapattinam, Tamil Nadu, 611001, India, E-mail: vanithaadmc@gmail.com

AMS Mathematics Subject Classification: 34C35, 65C20

Online published on 16 January, 2018.

Abstract

Diabetes and its associated complications have been increasing at an alarming rate worldwide. Prevalence of diabetes is higher in developed countries than in the developing countries, however during the past two decades diabetes mellitus was reported higher in developing countries. A mathematical study of the size of population of diabetes mellitus is carried out in this paper. By appropriate definition of a parameter, the mathematical model may be classified as linear or non-linear. Here, linear differential equations are developed and solved by numerical methods.

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Keywords

Population model, diabetes mellitus, Numerical methods.

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