Isaac Kwasi Adu

Kumasi Technical University · Mathematical Science

COVID-19 remains the concern of the globe as governments struggle to defeat the pandemic. Understanding the dynamics of the epidemic is as important as detecting and treatment of infected individuals. Mathematical models play a crucial role in exploring the dynamics of the outbreak by deducing strategies paramount for curtailing the disease. The re...

The epidemiology of tuberculosis model, which includes exogenous reinfection and treatment, is analyzed. We consider both the diagnosed and the undiagnosed individuals as infectious. Since tuberculosis is treatable, we also included the treatment for diagnosed infective. We presented the basic reproduction number and the stability of the disease-fr...

In this paper, an Immunity-Susceptible-Exposed-Infectious-Recovery (MSEIR) mathematical model was used to study the dynamics of measles transmission. We discussed that there exist a disease-free and an endemic equilibria. We also discussed the stability of both disease-free and endemic equilibria. The basic reproduction number is obtained. If , the...

Our study is made up two sections: Non-smokers, problem-smokers, smokers-in-treatment and counselling, and removed-smokers ( SITcR) mathematical model that explains the dynamics of smoking epidemic without considering the recovery class to susceptible class transferring followed by modelling smoking epidemic where the recovery class is considered t...

Postharvest loss is one major problem farmers in Adaklu Traditional Area that most Ghanaian farmers face. As a result, many farmers wallow in abject poverty. Warehouses are important facilities that help to reduce postharvest loss. In this research, Beresnev pseudo-Boolean Simple Plant Location Problem (SPLP) model is used to locate a warehouse at...

This paper illustrates analysis of longitudinal data on students' academic performance using GEE (Generalize Estimation Equations) under various working correlation assumptions. Many factors account for students' academic performance in the fulcrum of all levels of education. Hence, any variable that triggers the academic performance of students ev...

We use SIR model to predict the prevalence and incidence of Hepatitis B in Bosomtwe District of Ghana. The study is made up of two sections. An SIR model without vaccination is used to explain the spread of the HBV in the Bosomtwe district followed by the modeling HB with vaccination in the district.The model has two equilibrium states: the disease...

We used a system of linear equations to determine the number of vehicles that should be allowed to route a four one-way streets in Kumasi, in order to keep traffic flowing. The systems of equations used in the model were solved analytically using the method of Gauss-Jordan elimination. Our work shows that if 155vph, 276vph, and 240vph are allowed t...

The study examined the prevalence of Malaria in the Techiman Municipality of Ghana. We used model to analyze, model and predict the prevalence of Malaria disease in the municipality. The study is made up of two sections. An model without the vital dynamics and an with vital dynamics were used to explain the spread of the Malaria in the Techiman Mun...