TRANSMISSION DYNAMICS OF HEPATITIS B MATHEMATICAL MODEL USING A FIXED POINT APPROACH

Hepatitis B remains a serious global health concern, affecting approximately one-third of the world’s population and causing nearly one million deaths annually. The SEI_C I_A R model that distinguishes between acutely and chronically infected individuals becomes a significant addition to public health research about Hepatitis B virus transmission. This study provides rigorous insights using fixed-point theory with generalised Hyers-Ulam stability criteria to produce thorough results about solution existence, uniqueness, and stability. The model demonstrates through visualisation using the RK-5 method that proper population control measures, such as vaccination systems, transmission rate, lead populations toward the eradication of disease states. This research both enhances mathematical epidemiology and supports worldwide hepatitis B elimination programs.