Gabriel Obed Fosu

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Verified

Gabriel verified their affiliation via an institutional email.

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• PhD, MPhil
• Professor at Kwame Nkrumah University of Science and Technology

Tricycles, also known as three-wheeled vehicles, have become an increasingly important component of urban and peri-urban transport systems in many developing countries, particularly in Africa. They are widely used for a range of functions, including passenger transport, goods delivery, and municipal services such as waste collection. This paper pre...

Pedestrian-related accidents are a significant public health concern, particularly in sub-Saharan Africa, where pedestrian fatalities among young people continue to rise. In Ghana, the absence of targeted pedestrian safety education in senior high schools contributes to these fatalities. This study aims to assess the knowledge of pedestrian safety...

In developing countries, the quality of driving infrastructure, specifically road conditions, is often suboptimal, presenting challenges and limitations for motorists. However, current traffic flow models have limitations in addressing problems caused by poor road networks. To address this issue, a new macroscopic traffic flow model has been propos...

Second-order macroscopic vehicular traffic flow models are categorized under two broad headings based on the direction of their characteristics. Faster-than-vehicle waves are often called isotropic models vis-á-vis anisotropic models with slower-than-vehicle characteristic speeds. The dispute on the supremacy among these families of models is the m...

Data obtained from molecular dynamics simulation provides important intuition into the dynamical interactions of biological molecules. The chronicles of sequential time-dependent atomic motions of configurations obtained from simulation and the derived properties estimated from molecule's trajectory is specified by this sequence. Therefore, knowing...

Poultry farms in Ghana are experiencing a decline, and some are at risk of collapsing due to the high cost of poultry feed. The aim of this paper is to assist poultry farmers in increasing their profits by reducing the cost of poultry feed. The linear programming technique is implemented to utilize locally available feed ingredients to formulate la...

Second-order macroscopic traffic models are characterized by a continuity equation and an acceleration equation. Convection, anticipation, relaxation, diffusion, and viscosity are the predominant features of the different classes of the acceleration equation. As a unique approach, this paper presents a new macro-model that accounts for all these dy...

The continual wearing of road surfaces results to crack and holes called potholes. These road surface irregularities often elongate travel time. In this paper, a second-order macroscopic traffic model is therefore proposed to account for these road surface irregularities that affect the smooth flow of vehicular traffic. Though potholes do vary in s...

This paper discusses a gallery of useful results in connection with integrating factors that are often left as problems for discovery learning and are generally not taught in typical Ordinary Differential Equations courses. Most often than not the approach earlier writers employ is to give a possible form for an integrating factor that may results...

This paper provides an in-depth insight into basic operations with inequalities that are carefully crafted for the illustration of monotonicity and boundedness characterization of the general recursive radical sequence. Essentially such properties are necessary and sufficient in the proof of their convergence. Furthermore, other hybrid forms of thi...

Vehicular flow modeling has received much attention in the past decade due to the consequential effect of the increasing number of vehicles. A notable effect is the congestion on urban and semi-urban roads. Traffic flow models are often the first point of reference in addressing these congestion problems. In that regard, a new viscous second-order...

The paper proves convergence for three uniquely defined recursive sequences, namely, arithmetico-geometric sequence, the Newton-Raphson recursive sequence, and the nested/composite recursive sequence. The three main hurdles for this prove processes are boundedness, monotonicity, and convergence. Oftentimes, these processes lie in the predominant us...

The mathematics of disease transmission among a vector host could be linear or non-linear. However, the dynamics of some drug-resistant disease are well-explored using non-linear transmission models. Hither, the dynamics of a susceptible-infected-vaccinated-recovered model with power relationship incidence rate is formulated to analyze the dynamics...

During the early phase of Covid-19, the transmissibility of the coronavirus disease was estimated using the classical SIR and SEIR models. However, with the advent of some controlling measures in its informative stages, these classical compartmental models have been ameliorated to provide accurate insight of the coronavirus disease. The paper seeks...

O wretched man that I am! who shall deliver me from the body of this death, Romans 7:24? For You have delivered my soul from death, Indeed my feet from stumbling, So that I may walk before God In the light of the living, Psalm 56:13. COVID-19 pneumonia has hit almost all countries of the world. Due to this, the coronavirus has been declared as a p...

The COVID-19 disease caused by Severe Acute Respiratory Coronavirus 2 (SARS-CoV-2) has been declared as a pandemic. To curb the spread of the virus, some preventive and control measures were outlined by the World Health Organization. The implementation of these measures depends on the severity of the infection and the countries’ prowess in battling...

The relationship among vehicles on the road is modeled using fundamental traffic equations. In traffic modeling, a particular speed-density equation usually fits a peculiar dataset. The study seeks to parameterize some existing fundamental models so that a given equation could match different dataset. The new equations are surmisal offshoots from e...

In this paper a Newton-type algorithm is used to generate non-singular symmetric matrices of rank one, using a singular symmetric matrix of the same rank as an initial matrix for the iteration. In particular, numerical computations are performed with two different diagonal matrices which are in the neighbourhood of the eigenvalues of the initial si...

In this article, we discuss singular Hermitian matrices of rank greater or equal to four for an inverse eigenvalue problem. Specifically, we look into how to generate n by n singular Hermitian matrices of ranks four and five from a prescribed spectrum. Numerical examples are presented in each case to illustrate these scenarios. It was established t...

Multi-regime fundamental models use two or more equations to describe the association among the main macroscopic traffic variables encountered in traffic analysis. The paper investigates specific properties of some multi-phase speed-density equations. It first compares the characteristics of each of these equations by solving the nonlinear continui...

Sexual activity involving unmarried male and female students is categorized as an infectious disease in this research. The paper presents a comprehensive constancy analysis of a proposed SIR sex model. The model has two steady states; an unrealistic sex-free equilibrium, and a pragmatic endemic equilibrium state. The global stability conditions for...

In this study we looked at the theorm Azela-Ascoli and its application to functional analysis, ordinary differential equations and complex analysis. This theorem simplifies the checking of compactness for subsets of spaces of continuous functions in much the same way the Heine-Borel theorem does for subsets of Rn.

This paper explores the mathematical vibrations of the Fontomfrom and Atumpan drums using the two-dimensional wave equation. This wave equation is transformed into a FourierBessel function to determine the wave profiles of these drums. Simulations analysis is performed to obtain the deflections of these drums at different radii and time based on th...

The dynamics of a SIVR model with power relationship incidence rates $(\beta I^p S^q)$ is investigated. It is assumed an individual can be susceptible after receiving the first dose of the vaccine, hence a second dose is required to attain permanent immunity. The steady states conditions of the disease-free equilibrium and the endemic equilibrium a...

In transportation modelling, there is the need to track the positions of vehicles on a road segment over a time period. As an exertion to estimate the characteristic profiles of these vehicles, the LWR model coupled with six different single-regime speed-density models are solved analytical to explain these features. These characteristic curves sho...

Crude oil plays an important role in the economic development of many emerging markets. This study examines the role of global crude oil price on the exchange rate (EXR) and gross domestic product (GDP) of Ghana (a new oil producing country) using the Johansen modelling technique for the period, 1980–2013. Following the cointegration of the variabl...

Two topologies of a Hilbert space l_2 is considered in this work. To wit, normed vector space, which is its natural topology and weak topology. Among other properties we showed that the closed unit ball S is not compact when l * 2 is given its topology as a Banach space. On the other hand S is compact when l * 2 is given its weak topology.

Mathematical models for disease spread are mostly based on differential equations with an in-built threshold that determines the behaviour of the system. This study investigates student-lecturer-sex (SELEX) on campus by an epidemiological model. The dynamics of these activities among female students and male lecturers are analyzed by the usual Susc...

The purpose of this research is to utilize data envelopment analysis (DEA) to measure academic efficiency of four Senior High Schools in Ghana. The proposed approach is deployed based on empirical data collected from the four schools on an efficiency scale of 0-1.0. DEA analysis assesses the relative efficiency of each of these selected schools rel...

In the field of operations research, modelling of transportation problem is fundamental in solving most real life problems as far optimization is concerned. It is clear that a lot more effort has been put in by many researchers in seek of appropriate solution methods to such problem. Vogel's Approximation Method (VAM), among the class of algorithms...

An epidemiological model depicting the dynamics of campus sex among students is analyzed in this study. For the purpose of this research, sexual activities among students is considered as a disease called SESEX. The Susceptible-Infected-Recovered (SIR) model is used in analyzing the dynamics in this scenario. Two equilibrium points were found, a di...

We review options pricing with dividend paying stock on a single asset. We start from the Black-Scholes equation with a free boundary value, the free boundary value problem is then transformed into a Linear Complementarity Problem, and an Obstacle Problem. We solve the Linear Complementarity Problem by introducing the method of Finite Difference me...

An epidemiological model depicting the dynamics of sexual activities among male lecturers is analysed in this study. The model is a mime of the Susceptible-Infected-Recovered (SIR) model. Illegal sexual relationship by male lectures is considered as a disease called LESEX for the purpose of this research. The model suggests that the recruitment of...

This paper presents a stability analysis on generalised mathematical models for cooperative and competitive species. For each system, we determined all the relevant equilibrium points and analysed the behavior of solutions whose initial conditions satisfy either = 0 or = 0. The curves in the phase plane along which the vector field is either horizo...

Biometric researchers have paid critical attention to feature extraction since without this process it is virtually impossible to perform recognition. The weaker the features, the weaker the recognition rate, likewise, the stronger the features the more likely to achieve a better recognition rate. However, the later is not always the case since aft...

In this paper, we investigate the linkage between FDI and economic growth using macro econometric model in the Ghanaian context. Structural shocks in an SVAR model were used to identify the contemporaneous and short run relationships effects of these variables. The AB model restriction approach was used for the Identification and was compared to th...

Ghana is poised to be one of the fastest growing economies in Sub-Saharan Africa because of its emerging oil and gas industry. Ghana's discovery of oil in commercial quantities in 2007 and its commencement of production in 2010 are expected to have an impact on the economy. To investigate these, we estimated a dynamic stochastic general equilibrium...

As Ghana assumes a position of oil producer and middle-income country, it must learn to effectively deal with the related pressures from shocks. We analyze the effects of productivity shocks on Ghana's total output using the multi-sector dynamic stochastic general equilibrium (DSGE) model. It was actualized that a productivity shock results in a te...

This paper focuses on the qualitative dynamics of the Ramsey-Cass-Koopmans (RCK) growth model with exponential growth of labour (population) and RCK with logistic growth rate of labour. We find parameter values at which qualitative changes occur. A continuation method was employed in analyzing the qualitative behavior of the various models at the e...

Face recognition for some time now has been a challenging exercise especially when it comes to recognizing faces with different pose. This perhaps is due to the use of inappropriate descriptors during the feature extraction stage. In this paper, a thorough examination of the Radon Transform as a face signature descriptor was investigated on one of...

As Ghana assumes a position of oil producer and middle-income country, it must learn to effectively deal with the related pressures from shocks. We analyze the effects of productivity shocks on Ghana's total output using the multi-sector dynamic stochastic general equilibrium (DSGE) model. It was actualized that a productivity shock results in a te...

The study investigates the relationship between stock prices and macroeconomic indicators in Ghana using monthly data from November 1990 to December 2011 using multivariate Vector Autoregressive(VAR) model. The Granger causality analysis was used to examine the direction of causality between stock prices and the various macroeconomic factors. It wa...

Poverty is one of the most familiar and enduring conditions known to humanity. Some researchers view it as a reaction to the stress of being poor, whereas others perceive it as a process of adapting to the condition of poverty. In this paper, we review the regional Poverty and Inequality disparities in Ghana. We concluded that, the annual cash inco...

The paper outlined two systems of differential equations: the Ramsey-Cass-Koopmans(RCK) growth model with exponential growth of labour(population) and Ramsey-Cass-Koopmans model with logistic growth rate of labour. The stability properties of these models are outlined in the neighbourhood of the steady state with a set of benchmark parameters. We c...

An accurate prediction of the production rate of fluids from a reservoir into the wellbore is essential for efficient artificial lift application in an oil field. We find an accurate model to determine the optimal distribution of the available lift gas among a group of five oil wells on continuous gas lift in order to maximize the total oil product...

Ghana is poised to be one of the fastest growing economies in Sub-Saharan Africa because of its emerging oil and gas industry. Ghana’s discovery of oil in commercial quantities in 2007 and its commencement of production in 2010 are expected to have an impact on the economy. To investigate these, we estimated a dynamic stochastic general equilibrium...

In this paper, we review dynamical systems in general and the Ramsey-Cass-Koopmans economic model with exponential growth as well as the one with logistic growth developed by Brida and Accinelli. We then study the qualitative behaviours of these models in terms of stability analysis and bifurcation analysis employing continuation method. Finally we...