Title: Mathematical analysis of an alcohol drinking model for pregnant women and its influence on her unborn baby in fuzzy environment

Authors: Payal Singh; Neha Rani Wadhwa; Nilam Kumhar; Kamal Hossain Gazi; Soheil Salahshour; Aditi Biswas; Sankar Prasad Mondal

Addresses: Faculty of Engineering and Technology, Department of Applied Sciences and Humanities, PIET, Parul University, Vadodara, 391760, Gujarat, India ' Faculty of Engineering and Technology, Department of Applied Sciences and Humanities, PIT, Parul University, Vadodara, 391760, Gujarat, India ' Parul Institute of Applied Sciences, Parul University, Vadodara, 391760, Gujarat, India ' Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, 741249, West Bengal, India ' Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, 34353, Turkey; Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, 34940, Turkey; Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, 34959, Turkey ' Department of Basic Science and Humanities, Greater Kolkata College of Engineering & Management, West Bengal, 743387, India ' Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, 741249, West Bengal, India

Abstract: Alcohol consumption during pregnancy poses significant risks to both maternal and fetal health. Understanding the dynamics of alcohol consumption during pregnancy and its absorption within the womb is crucial for assessing potential risks to fetal development. This research discusses two crucial mathematical models, first Compartment model of different stages, potential drinker to moderate drinker, moderate drinker to heavy drinker (in pregnant women) of alcohol consumers and second dynamical system is on absorption of alcohol in blood in fetus through placenta. The mathematical modelling is considered completely in fuzzy environment due to the uncertainty. All the results like existence and uniqueness of solution, stability of system are proposed and proved in fuzzy environment. Ultimately, this research contributes to the ongoing efforts to protect the health and well-being of both mothers and their unborn children by providing a quantitative tool for understanding and mitigating prenatal alcohol exposure with uncertainty.

Keywords: nonlinear fuzzy differential equations; FAS; fetal alcohol syndrome; numerical simulation; stability analysis.

DOI: 10.1504/IJCBDD.2025.151213

International Journal of Computational Biology and Drug Design, 2025 Vol.16 No.4, pp.322 - 349

Received: 23 Feb 2024
Accepted: 23 Aug 2024
Published online: 19 Jan 2026 *

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