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Journal : Mikailalsys Journal of Mathematics and Statistics

Fitting Linear Probability Model and Logit to Prevalence of Hepatitis B and C Data in Donga Local Government Area of Taraba State Ogunmola, Adeniyi Oyewole; Sambo, Garsama
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5145

Abstract

Hepatitis B and C are significant global public health concerns, responsible for a substantial burden of liver disease. The prevalence of hepatitis B and C varies widely across different populations and regions, influenced by factors such as age, sex, geographic location, and risk behaviors. This study focuses on examining the effects of age and sex on the prevalence of hepatitis B and C. By analyzing data on the presence or absence of these infections across different age categories and between sexes, we aim to identify patterns that could inform targeted public health efforts. Linear probability model and logit through generalised linear model were fitted on the data collected at the first referral hospital laboratory Donga. Results showed that both models fit the data, and significant factors are age category and the interaction of age category and sex. But it is discovered that the logit model fitted the data more with a lower value of AIC and BIC.
A Deterministic Modeling Approach in Identifying the Optimal Screening for Human Immunodeficiency Virus Management Ogunmola, Adeniyi Oyewole; Jolayemi, Emmanuel Teju
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5146

Abstract

The enormous success made in the development of drugs for Human Immunodeficiency Virus (HIV) infection to suppress the viral load of the disease, avert death and suffering due to the disease, no HIV individual is supposed to experience morbidity or death due to the disease. However, most affected people only avail themselves for HIV test at symptomatic stage which leads to morbidity and mortality due to Acquired Immune Deficiency Syndrome (AIDS). In the absence of HIV vaccine for the prevention against HIV infection, HIV screening test would be the next close to vaccination. This aim of this study was to developed a model that determine the optimal HIV screening sequence as intervention for HIV in a population. The concept of screening was brought into system of non-linear differential equations to obtain the deterministic model. The screening sequence and the varying population proportions were used in determining the optimal screening. The findings were that; when the systematic HIV screening of the population was done in six years, mortality and morbidity occurrences were reduced, and subsequent systematic screening reduced morbidity and mortality more in the population; and screening thirty percent of the population every year saved the lives of ninety percent HIV individuals and forestalled ninety percent of them from experiencing morbidity. It was noted also that screening fifty percent of the population three times within six years produced the same effect.