A Mathematical Model of Iron Deficiency Anaemia and Its Impact on Cognitive Function in Young Women Aged 18-22 Years

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Authors: A. Amalarathinam, A. Sabarmathi, Pooja C.
Cited by: 0

Abstract

A mathematical model of iron deficiency anaemia and its impact on cognitive function in young women aged 18-22 years is formulated. The boundedness of the system is verified using Gronwall’s inequality. Equilibrium points are found. The local stability of the model is analysed around the equilibrium points. The global stability of the model is analysed using Lyapunov’s theorem on stability. Numerical simulations are carried out using MATLAB. KeywordsBoundedness, Cognitive Function, Equilibrium Analysis, Global Stability, Gronwall’s Inequality, Iron Deficiency Anaemia, Local Stability, Lyapunov’s Theorem.

Fields of Study & Subjects

Iron Metabolism and Disorders Artificial Immune Systems Applications Statistical and Computational Modeling

Publication details

Journal / source
˜The œBioscan.
Volume
21
Issue
1
Pages
01–10
Publication date
5 January 2026