A time-delay model for the population dynamics of diabetes during pregnancy

Yaacob, Noorehan; Nasir, Hanis

doi:10.47974/JSMS-1192

Open Access Research Article

A time-delay model for the population dynamics of diabetes during pregnancy

Noorehan YaacobDepartment of Mathematical SciencesFaculty of ScienceUniversiti Teknologi MalaysiaJohor Bahru, Johor, 81310, MalaysiaView full profile → , ^*Hanis NasirCorresponding authorhanisnasir20@gmail.comDepartment of Mathematical SciencesFaculty of ScienceUniversiti Teknologi MalaysiaJohor Bahru, Johor, 81310, MalaysiaView full profile →

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pp. 1117–1137Vol. 27Issue 6September 2024DOI: 10.47974/JSMS-1192XML

Received:: 05 Oct 2022
Published Online:: 19 Sep 2024
Article type:: Research Article
Language:: EN
Article no.:: JSMS-1192
Pages:: 1117–1137

Abstract

We studied a delay differential equations model for the population dynamics of diabetes during pregnancy. We considered four variables, namely women who are non-diabetic, women who are diabetic, women with gestational diabetes, and women with gestational diabetes and diabetes-related complications. We investigated the stability analysis of the equilibrium point by deriving of the transcendental characteristic equation. The numerical diagrams are visualized to verify the theoretical results. We further investigated the sensitivity analysis with respect to the equilibrium point. The normalized forward sensitivity indices suggested the critical and sensitive model inputs that capable of being handled to tackle the problems of diabetes during pregnancy.

Keywords

Gestational diabetes Time delay Stability analysis Sensitivity analysis

Subject Classifications

92B0534D3235B35

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