Papers by Isaac Kwasi Adu
The study examined the prevalence of Malaria in the Techiman Municipality of Ghana. We used model... more 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 Municipality followed by the Fred Brauer simple treatment model () to determine whether the treatment of malaria in the municipality is beneficial. The model has two equilibrium states: the disease-free equilibrium and the endemic equilibrium states respectively. The stability condition of each equilibrium point is discussed. The basic reproductive number of Malaria without the vital dynamics is estimated to be and the basic reproductive number of Malaria with the vital dynamics is estimated to be in the Techiman Municipality. The basic reproductive numbers of the model and the modified malaria model were also estimated to be and respectively. Our work shows that the reproductive number () of Malaria infection at Techiman Municipality is less than 1(). Our work also shows that malaria treatment is beneficial in the municipality. According to the results of this study whenever the transmission rate coefficient in any of the models is increased, , but when the transmission rate coefficient is reduced,. We recommend that Malaria control measures should be intensified in the municipality so as to decrease the rate of transmission.
We used a system of linear equations to determine the number of vehicles that should be allowed t... more 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 to route intersection A and B, A and D and D and C of the 654 Isaac Kwasi Adu et al. model respectively, traffic congestion in the area of Kumasi discussed in the model would be minimized. We recommend to the stakeholders of Kumasi to provide exclusive lanes for public transport, ensure the use of traffic regulations and traffic engineers to control the traffic, use innovative ideas to reduce traffic impacts on public transport, provide traffic lights at the four intersections under discussion in this research and adjust them in the direction of the results of this research.
Journal of Optimization, 2016
Mathematical Theory and Modeling, 2015
An action research was performed with the aim of solving problems involving two multi-digit multi... more An action research was performed with the aim of solving problems involving two multi-digit multiplicands using the lattice to give pupils' conceptual understanding of multiplication in basic six at the Presbyterian Women's College of Education Demonstration School. Twenty-five pupils out of fifty (50) were selected using The simple random sampling technique from a combined class of Six 'A' and Six 'B' who have difficulties in answering questions under multiplication involving two multi-digit numbers, after writing a teacher made test (Pre-Test). The Pre-Test produced 16% pass mark as compared to the post-test which gave 88% pass mark after the intervention. The discovery method of teaching was used in the intervention procedure to find the multiplication of multi-digit numbers. Pupils were directed to use the lattice to perform activities which had the potential of developing their conceptual understanding of the topic. The data collected indicated that some pupils improved their understanding but some pupils needed more time to re-learn the subject. This research only presents some practical solutions proposed within the time available.
Mathematical Theory and Modeling, 2014
The study examined the prevalence of Malaria in the Techiman Municipality of Ghana. We used model... more 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 Municipality followed by the Fred Brauer simple treatment model ( ) to determine whether the treatment of malaria in the municipality is beneficial. The model has two equilibrium states: the disease-free equilibrium and the endemic equilibrium states respectively. The stability condition of each equilibrium point is discussed. The basic reproductive number of Malaria without the vital dynamics is estimated to be and the basic reproductive number of Malaria with the vital dynamics is estimated to be in the Techiman Municipality. The basic reproductive numbers of the model and the modified malaria model were also estimated to be and respectively. Our work shows that the reproductive number ( ) of Malaria infection at Techiman Municipality is less than 1(
Mathematical Theory and Modeling, 2014
This study investigates measures that ensure sustainability of marriages and to find out the exte... more This study investigates measures that ensure sustainability of marriages and to find out the extent to which these measures contribute to stable marriages. The research is undertaken in St. Francis College of Education Community, Hohoe. A sample of 140 respondents made up of teaching and non-teaching staff was randomly selected to complete questionnaire asking them to indicate the extent to which identified indicators contribute to stability of their marriages. The raw data of 21 original factors were subjected to factor analysis to identify the factors that contribute most to marriage stability. The result of the study shows that Love, understanding, acceptance and respect for each other, commitment to the marriage are factors that ensure sustainable marriage.
This paper illustrates analysis of longitudinal data on students' academic performance using GEE ... more 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 evoke the awareness of all. The aim of this thesis is to analyze academic performance using application of Generalized Estimating Equation (GEE) Models under various working correlation assumptions. There are various statistical and mathematical models employed in the analyses of students' academic performance in different level of schools. In this paper, we formulate the Generalized Estimating Equation (GEE) model approach under various correlation assumptions to analyze the probable 3360
We use SIR model to predict the prevalence and incidence of Hepatitis B in Bosomtwe District of G... more 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.
We use SIR model to predict the prevalence and incidence of Hepatitis B in Bosomtwe District of G... more 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.
This paper illustrates analysis of longitudinal data on students' academic performance using GEE ... more 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 evoke the awareness of all. The aim of this thesis is to analyze academic performance using application of Generalized Estimating Equation (GEE) Models under various working correlation assumptions. There are various statistical and mathematical models employed in the analyses of students' academic performance in different level of schools. In this paper, we formulate the Generalized Estimating Equation (GEE) model approach under various correlation assumptions to analyze the probable performance in relation to variables such as gender, entry age into the school, the geographical location of students, as well as Graded level of former School attended. We used real data set of students' Semester Weighted Average (SWA), and back these with validate and reliable questionnaire about students personal information (on their Biodata response) for a complete data set.
We use SIR model to predict the prevalence and incidence of Hepatitis B in Bosomtwe District of G... more 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.
This paper illustrates analysis of longitudinal data on students' academic performance using GEE ... more 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 evoke the awareness of all. The aim of this thesis is to analyze academic performance using application of Generalized Estimating Equation (GEE) Models under various working correlation assumptions. There are various statistical and mathematical models employed in the analyses of students' academic performance in different level of schools. In this paper, we formulate the Generalized Estimating Equation (GEE) model approach under various correlation assumptions to analyze the probable performance in relation to variables such as gender, entry age into the school, the geographical location of students, as well as Graded level of former School attended. We used real data set of students' Semester Weighted Average (SWA), and back these with validate and reliable questionnaire about students personal information (on their Biodata response) for a complete data set.
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Papers by Isaac Kwasi Adu