A Fractional Differential Transformation Solution Method for the Assessment, Monitoring, Control, and Evaluation of HIV/AIDS Confirmed Status with Vertical Transmission in Nigeria

TL;DR

This paper introduces a novel fractional differential transformation method to model and analyze HIV/AIDS transmission and treatment, achieving 75% accuracy in assessment and management.

Contribution

It presents a new mathematical model for HIV/AIDS transmission routes and applies a fractional differential transformation solution, enhancing analysis capabilities.

Findings

Model covers multiple transmission routes including vertical and blood transfusion.

Achieves 75% accuracy in HIV/AIDS assessment and management.

Provides a new analytical approach for HIV/AIDS control strategies.

Abstract

HIV is a deadly virus transmitted either through having of unprotected sex, mother to child transmission, sharing of unsterilized objects that is capable of making cut or wounds on the body, through blood or bodily fluid transmission. AIDS has no permanent cure but remedies that help in suppressing the power effect of the virus are available. Previous studies has shown that the epidemic claimed more lives via vertical transmission, mother-to-child transmission, blood transfusion, sexual intercourse and injection drug users. The associated models were derived using diagnosis and treatments records of confirmed status of HIV/AIDS clients. A new model analysis were proposed that could handle cases of HIV/AIDS routes of transmission and treatments via vertical, mother-to-child, blood transfusion, sexual intercourse, injection drug users that were not considered in previous studies. The new model was solved using Fractional Differential Transformation by Caputo sense algorithm. The new model is a major contribution for optimal assessment, monitoring, evaluation, control and management of HIV/AIDS, with 75% accuracy.