Population models of diabetes mellitus by ordinary differential equations: a review

ABSTRACT

Population models of diabetes using ordinary differential equations are reviewed. They are refined by incorporating non-diabetics, prediabetics, low awareness prediabetics, awareness prediabetics, and awareness programs. However, they may involve products and fractions that do not reflect what is known about reality or ignore the presence of time lags in the development of diabetes. No model takes into account the limited medical treatments considered. This review shows the need to consider finer specifications of interactions, time delays, and budget constraints in epidemiological modeling of diabetes.

KEYWORDS:

• Compartmental method
• diabetes
• ordinary differential equations

JEL CLASSIFICATION:

• 92B05
• 34D32
• 35B35

Acknowledgment

We thank the reviewers and editors for their helpful comments.

Disclosure statement

The authors report no potential conflict of interest.

Additional information

Funding

The study was supported by the Ministry of Higher Education, Malaysia, under Fundamental Research Grant Scheme 59523 (FRGS/1/2018/STG06/UMT/02/2).