Isaac Kwasi Adu

• Doctor of Philosophy
• Senior Lecturer at Kumasi Technical University

In developing countries, indoor air pollution (IAP) poses a significant threat to public health, disproportionately affecting women who use solid fuels for cooking. IAP exposure has been linked to various health issues, including pneumonia, heart disease, stroke, lung cancer, and anaemia. Approximately 500 million women of reproductive age (WRA) gl...

The intake of alcohol is dangerous, and the smoking of tobacco is savage, but it is life-threatening to practice both smoking and drinking. According to the World Health Organisation, the world loses about 8.5 million people each year as a result of smoking tobacco and drinking alcohol. To study this, we present a mathematical model that investigat...

The advent of social media (SM) platforms has transformed communications, information dissemination, and interpersonal relationships on a global scale. As SM continues to evolve and proliferate, its impact on various aspects of society has become increasingly complex and multifaceted. For this reason and over the past decades, several controversies...

In this article, we seek to formulate a robust mathematical model to study the Ebola disease through fractal-fractional operators. The study thus incorporates the transmission rate in the treatment centers and the relapse rate, since the Ebola virus persists or mostly hides in the immunologically protected sites of survivors. The Ebola virus diseas...

This study employs fractional, non-optimal, and optimal control techniques to analyze measles transmission dynamics using real-world data. Thus, we develop a fractional-order compartmental model capturing measles transmission dynamics. We then formulate an optimal control problem to minimize the disease burden while considering constraints such as...

This work utilises a fractal-fractional operator to examine the dynamics of transmission of measles disease. The existence and uniqueness of the measles model have been thoroughly examined in the context of the fixed point theorem, specifically utilising the Atangana-Baleanu fractal and fractional operators. The model has been demonstrated to posse...

Ebola disease is a highly infectious and often deadly disease caused by the Ebola virus. Ebola can spread among humans through direct contact with the blood, secretions, organs, or other bodily fluids of infected people, as well as surfaces and materials contaminated with fluids of infected people. This article examines a non-linear mathematical mo...

Ebola is a serious disease that affects people; in many cases, it results in death. Ebola outbreaks have also occurred in communities where residents keep pets, particularly dogs. Due to a lack of food, the dogs must hunt for food. Dogs eat the internal organs of wildlife that the locals have killed and eaten, as well as small dead animals that are...

Despite the national government's commitment to eradicating the Ebola virus epidemic and the WHO's combined efforts in this regard in Ebola-torn countries in Africa, many people are still not aware of some possible modes of transmission of Ebola. Many researchers also failed to include these possible modes of transmission, reinfection, and relapse...

In this article, we have studied the dynamics of the Ebola virus disease by means of fractional differentiation combined with a fractal dimension. It has been shown explicitly that the Ebola model is positively invariant. The fixed point theorem procedures check the solution’s existence and uniqueness to the model using the Mittag-Leffler kernel. T...

This study explores the biological behaviour of the Monkeypox disease using a fractal-fractional operator. We discuss the existence and uniqueness of the solution of the model using the fixed-point concept. We further show that the Monkeypox fractal-fractional model is stable through the Hyers-Ulam and Hyers-Ulam Rassias stability criteria. The epi...

Computing the inverse of 3 × 3 square matrices using known methods such as Gauss-Jordon Method needs more time. During examination, candidates need to go through long process to find the inverse of 3 × 3 square matrices. Some students also find it very difficult and confusing when using Gauss-Jordon and Adjugate methods to find the inverse of the m...

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...

In this paper, the concept of Linear Programming (LP) was applied to Multigrow Insurance Company in Ghana which had a portfolio problem. The company had obtained GH₵ 200000 cash but had a difficulty in determining how much to invest in each of five investment areas in order to maximize return. Based on the data collected, the problem was formulated...

In this paper, the concept of transportation problem was applied to a Lumber Company A in Ghana which had a difficulty in transporting wood from its four logging sites to five wood markets weekly in order to minimize cost. Based on the data collected, Management Scientist Version 5 Software was used to solve the transportation problem. Optimal week...

The study examined the prevalence of HIV/AIDS in the Techiman Municipality of Ghana. We used model with standard incidence to analyze, model and predict the prevalence of HIV/AIDS in the Techiman Municipality. The model has two equilibrium states: the disease-free equilibrium and the endemic equilibrium states respectively. The stability condition...

In this paper, the concept of assignment problem was applied to solve a problem for a Legal Firm A in Kumasi which had a difficulty in assigning nine different cases to its nine junior lawyers. Based on the data collected, Management Scientist Version 5 Software which uses Hungarian Method was used to solve the problem. Optimal assignments of the c...

The objective of the paper was to analyze nurse scheduling at Navrongo War Memorial Hospital in Ghana using linear programming and discuss how the hospital could schedule its nurses for better health care delivery. Based on the data collected and available constraints, a linear programming model was formulated for each day and solved using Manageme...

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...