Title: Bifurcation analysis and effective approaches to control for measles using SEIR mathematical model

Authors: H.A. Bhavithra; S. Sindu Devi

Addresses: Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, TN, India ' Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, TN, India

Abstract: The aim of this work is to create the SEIR model for measles in Indonesia. The model has four compartments built into its construction. The SEIR model analysis yields local stability at the basic reproductive number and the fuzzy disease-free equilibrium is calculated. Sensitivity analysis has been done as part of control strategies, and after that, a fuzzy reproduction number control approach has been put into practice. The bifurcation theorem deals with dynamical systems that have one or more external parameters and how the parameters might change and affect the way the solution set is structured. In essence, this type of behaviour is dictated by the stability of solutions and how they may alter when the parameters change. The Euler method is used to carry out the numerical stimulation.

Keywords: fuzzy equilibrium points; fuzzy basic reproduction number; backward bifurcation analysis.

DOI: 10.1504/IJMOR.2026.154505

International Journal of Mathematics in Operational Research, 2026 Vol.34 No.2, pp.192 - 214

Received: 10 Jul 2024
Accepted: 07 Aug 2024
Published online: 02 Jul 2026 *

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