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Journal of Applied Nonlinear Dynamics 14(2) (2025) 355--370 | DOI:10.5890/JAND.2025.06.009

Koyel Chakravarty, Sukanya Das, Lakshmi Narayan Guin

Department of Mathematics, School of Engineering and Applied Sciences, SRM University AP, Andhra Pradesh 522240, India

Department of Mathematics, Visva-Bharati, Santiniketan-731 235, West Bengal, India

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Abstract

The present investigation delves into the intricate dynamics of diabetic population, accounting for genetic, hereditary, social, environmental, and lifestyle determinants in the progression from pre-diabetes to diabetes. The model encompasses comorbidities, articulated through a suite of six nonlinear differential equations. Employing numerical methodologies alongside comprehensive stability and sensitivity analyses, it unveils nuanced insights into both biological and social interactions. Theoretical discoveries are vividly illustrated, and the model's credibility is attested through empirical validation. Conclusions drawn from the findings underscore pivotal parameters, endowing invaluable perspectives on the dynamical system in concert with stability elucidations.

Acknowledgments

The authors wish to express their heartfelt appreciation to the anonymous reviewers for their diligent review and valuable feedback aimed at enhancing the quality of the manuscript.

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