Dynamics of a glucose–insulin model

Abstract

Diabetes mellitus is a noncommunicable disease, which is a serious threat to human health around the world. In this paper, we propose a simple glucose–insulin model with Michaelis–Menten function as insulin degradation rate to mimic the pathogenic mechanism of diabetes. By theoretical analysis, a unique positive equilibrium of model exists and it is globally asymptotically stable. The four strategies are designed for diabetes patients based on the sensitivity of parameters, including insulin injection and medicine treatments. Numerical simulations are given to support the theoretical results.

Keywords:

• Diabetes
• glucose
• insulin
• therapy
• equilibrium

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the Ph. D. Fellowship of Xi'an Polytechnic University (No. 107020344), The Natural Science Basic Research Plan in Shaanxi Province of China (No. 2021JM-444), CSC (No.201908610049).