Stephen E. Moore

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Verified

Stephen verified their affiliation via an institutional email.

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• PhD
• Senior Lecturer at University of Cape Coast

In this article, we construct and analyse a stochastic mathematical model to study the co-infection dynamics of malaria and COVID-19 in a population. We derive the basic reproduction number associated with the disease-free equilibrium of the stochastic system using a Lyapunov function and establish conditions for its stability. Specifically, we cal...

Stochastic differential equations (SDEs) driven by Gaussian noise have proven effective for studying the dynamics of river basin discharges, while accounting for uncertainties inherent in rainfall–runoff systems. However, these uncertainties clearly exhibit many non-Gaussian characteristics, necessitating the use of more complex noises to model var...

Multimodal music information retrieval (MIR) has gained much significance and there exists a plethora of datasets in different formats as well as machine learning and deep learning models built on these datasets for MIR tasks. However, these datasets are mostly found in high-resourced languages making the models biased to these cultures and languag...

Malaria still remains a significant global health challenge that requires innovative strategies for its control and eventual eradication. In this article, we present a malaria vaccination model to assess and predict the effects of vaccination interventions. The model parameters are learned via feedforward Neural Network. We employed Residual Neural...

Air quality is a significant public health issue, and accurate predictions of the Air Quality Index (AQI) are crucial for timely interventions. This study explores the use of supervised machine learning algorithms to forecast AQI across different neighborhoods in Accra, Ghana. Six models including Random Forest , CatBoost, Support Vector Regression...

Disease attacks on crops like maize pose a significant threat to the global food supply chain in Africa, particularly in West Africa. Maize is a staple food source and the economic backbone of the population and farmers in West Africa. In recent years, maize yields have declined due to diseases. Systematic solutions, such as visual inspection throu...

Food security is a vital aspect of the United Nations’ Sustainable Development Goals (SDGs) which aims to promote sustainable farming in the world. Farming-driven economies such as Ghana are faced with challenges due to plant diseases. Cacao, a vital crop in Ghana is severely impacted with diseases which affect its yield and decrease exports revenu...

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...

Recent advancements in large language model(LLM) performance on medical multiple choice question (MCQ) benchmarks have stimulated interest from healthcare providers and patients globally. Particularly in low-and middle-income countries (LMICs) facing acute physician shortages and lack of specialists, LLMs offer a potentially scalable pathway to enh...

The human papillomavirus (HPV) is a common sexually transmitted infection and a leading cause of cervical cancer. The yearly hospitalization rate for diseases linked to HPV is alarming. However, the mathematical study of HPV disease using fractal–fractional derivatives has received less attention from researchers globally. In this study, we develop...

Buruli Ulcer, a devastating skin disease caused by Mycobacterium Ulcerans, poses considerable public health challenges in endemic areas. This article focuses on the use of fractional optimal control theory to prevent the spread of Buruli ulcers via integrated public health interventions. We formulated a mathematical model using the Atangana-Baleanu...

In this article, we formulate and analyze a mathematical model for the coinfection of HBV and COVID-19 that incorporates the effects of Brownian and Levi noise. We studied the dynamics and effects of these diseases in a given population. First, we establish the basic reproduction number of the disease-free equilibrium point of the stochastic model...

This study presents a deterministic mathematical model of monkeypox disease transmission dynamics with an age-structured human population divided into two subgroups of children (Group 1) and adults (Group 2). Two equilibrium points, monkeypox-free, E0, and a unique monkeypox-endemic equilibrium point, E1, are established. The age-structured monkeyp...

Stochastic Differential Equations (SDEs) driven by Gaussian noise have proven effective for studying the dynamics of river basin discharges, while accounting for uncertainties inherent in rainfall-runoff systems. However, these uncertainties clearly exhibit many non-Gaussian characteristics, necessitating the use of more complex noises to model var...

Monkeypox is a rare zoonotic disease similar to smallpox though less severe. The 2022 Monkeypox disease presented a great threat to global health as outbreaks spread mostly to countries in which Monkeypox was non-endemic. This study presents a new mathematical model with the effect of environmental and direct transmission of the Monkeypox virus in...

Monkeypox is a rare zoonotic disease similar to smallpox though less severe. The 2022 Monkeypox disease presented a great threat to global health as outbreaks spread mostly to countries in which Monkeypox was non-endemic. This study presents a new mathematical model with the effect of environmental and direct transmission of the Monkeypox virus in...

This study presents a deterministic mathematical model for direct and indirect transmission dynamics of Monkeypox disease. Direct transmission is through close contact with asymptomatic humans, symptomatic infectious human and infectious rodents while the indirect transmission is considered to be through contaminated environment. Four equilibrium s...

In this article, we formulate and analyze a stochastic mathematical model for the co-infection of malaria and COVID-19. We study the dynamics and the effect of these diseases in a given population. We establish the basic reproduction number of the disease-free equilibrium point of the stochastic model by means of a suitable Lyapunov function. More...

This paper concerns the analysis and optimal control of fractional order model of tumor cells and the body’s immunological response using Atangana-Baleanu-Caputo derivative fractional operator. The model consists of spawning cells ( S ), reposing cells ( R ) and tumor cell ( T ) where we have used the Hattaf-Yousfi functional response for the activ...

A common soil mechanical property for assessing soil strength is soil penetration resistance (PR) or soil cone index (CI), which is related to the undrained shear strength of saturated and cohesive soil. Plant roots can increase soil strength, but physical conditions may confound this. Pot experiments were conducted using 70 cm soil columns, three...

We present a Caputo fractional order mathematical model that describes the cellular infection of the Hepatitis B virus and the immune response of the body with Holling type II functional response. We study the existence of unique positive solutions and the local and global stability of virus-free and endemic equilibria. Finally, we present numerica...

Introduction Crime and criminal activities have huge influences on society and societal development. The social makeup of the society has a significant impact on the propagation of crime within a population. It is a well-known reality that crime spreads across society like an infectious disease, despite the fact that there are many elements that mi...

We present a Caputo fractional order mathematical model that describes the cellular infection of Hepatitis B virus and the immune response of the body. We study the existence of unique positive solutions, and the local and global stability of the virus free and endemic equilibria. Finally, we present numerical results using the Adam-type predictor-...

In this paper, we study the dynamical effects of timely and delayed diagnosis on the spread of COVID-19 in Ghana during its initial phase by using reported data from March 12 to June 19, 2020. The estimated basic reproduction number, ℛ0, for the proposed model is 1.04. One of the main focus of this study is global stability results. Theoretically a...

Cost-effectiveness analysis is a mode of determining both the cost and economic health outcomes of one or more control interventions. In this work, we have formulated a non-autonomous nonlinear deterministic model to study the control of COVID-19 to unravel the cost and economic health outcomes for the autonomous nonlinear model proposed for the Ki...

Cost-effectiveness analysis is a mode of determining both the cost and economic health outcomes of one or more control interventions. In this work, we have formulated a non-autonomous nonlinear deterministic model to study the control of COVID-19 to unravel the cost and economic health outcomes for the autonomous nonlinear model proposed for the Ki...

Optimal economic evaluation is pivotal in prioritising the implementation of non-pharmaceutical and pharmaceutical interventions in the control of diseases. Governments, decision-makers and policy-makers broadly need information about the effectiveness of a control intervention concerning its cost-benefit to evaluate whether a control intervention...

We propose a Caputo-based fractional compartmental model for the dynamics of the novel COVID-19 pandemic. The newly proposed nonlinear fractional order model is an extension of a recently formulated integer-order COVID-19 mathematical model. Using basic concepts such as continuity and Banach fixed-point theorem, existence and uniqueness of the solu...

NLP Ghana is an open-source non-profit organization aiming to advance the development and adoption of state-of-the-art NLP techniques and digital language tools to Ghanaian languages and problems. In this paper, we first present the motivation and necessity for the efforts of the organization; by introducing some popular Ghanaian languages while pr...

We present a parallel machine translation training corpus for English and Akuapem Twi of 25,421 sentence pairs. We used a transformer-based translator to generate initial translations in Akuapem Twi, which were later verified and corrected where necessary by native speakers to eliminate any occurrence of translationese. In addition, 697 higher qual...

Transformer-based language models have been changing the modern Natural Language Processing (NLP) landscape for high-resource languages such as English, Chinese, Russian, etc. However, this technology does not yet exist for any Ghanaian language. In this paper, we introduce the first of such models for Twi or Akan, the most widely spoken Ghanaian l...

We propose a Caputo-based fractional compartmental model for the dynamics of the novel COVID-19 epidemic taking into consideration social distancing and the influence of the environment. Using basic concepts such as continuity and Banach fixed-point theorem, the existence and uniqueness of the solution to the proposed model were shown. Furthermore,...

In this paper, we present the dynamical effects of timely and delayed diagnosis on the spread of COVID-19 in Ghana, using reported data from March 12 to June 19, 2020. The estimated basic reproduction number, R0, for the proposed model is 1.04. One of the main focus of this study is stability results and senesitity assessment of the parameters. We...

We present the analysis of interior penalty discontinuous Galerkin Iso-geometric Analysis (dGIGA) for the biharmonic problem on orientable surfaces Ω ⊂ R^3. Here, we consider a surface consisting of several non-overlapping patches as typical in multipatch dGIGA. Due to the non-overlapping nature of the patches, we construct NURBS approximation spac...

This paper is concerned with using discontinuous Galerkin isogeometric analysis (dGIGA) as a numerical treatment of Diffusion problems on orientable surfaces Ω ⊂ R 3. The computational domain or surface considered consist of several non-overlapping sub-domains or patches which are coupled via an interior penalty scheme. In Langer and Moore [13], we...

The outbreak of COVID-19 caused by SARS-CoV-2 in Wuhan and other cities in China in 2019 has become a global pandemic as declared by World Health Organization (WHO) in the first quarter of 2020 . The delay in diagnosis, limited hospital resources and other treatment resources leads to rapid spread of COVID-19. In this article, we consider an optima...

We present and analyze a stable space-time multipatch discontinuous Galerkin isogeometric analysis (dGIGA) scheme for the numerical solution of parabolic evolution equations in deforming space-time computational domains. Following [S. E. Moore, Nonstandard Discretization Strategies in Isogeometric Analysis for Partial Differential Equations, Ph. D....

This paper is concerned with using discontinuous Galerkin isogeometric analysis (dGIGA) as a numerical treatment of Diffusion problems on orientable surfaces $\Omega \subset \mathbb{R}^3$. The computational domain or surface considered consist of several non-overlapping sub-domains or patches which are coupled via an interior penalty scheme. In Lan...

We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in $\mathbb{R}^d$ with $d =2,3.$ The computational domain consist of several non-overlapping sub-domains or patches. We construct B-Spline approximation spaces which are discontinuous across pat...

This paper is concerned with the analysis of a new stable space-time finite element method (FEM) for the numerical solution of parabolic evolution problems in moving spatial computational domains. The discrete bilinear form is elliptic on the FEM space with respect to a discrete energy norm. This property together with a corresponding boundedness p...

We discuss a multiscale Galerkin approximation scheme for a system of coupled quasilinear parabolic equations. These equations arise from the upscaling of a pore scale filtration combustion model under the assumptions of large Damkh\"oler number and small P\'eclet number. The upscaled model consists of a heat diffusion equation and a mass diffusion...

We discuss a multiscale Galerkin approximation scheme for a system of coupled quasilinear parabolic equations. These equations arise from the upscaling of a pore scale filtration combustion model under the assumptions of large Damkh\"oler number and small P\'eclet number. The upscaled model consists of a heat diffusion equation and a mass diffusion...

This paper is concerned with the analysis of a new stable space-time finite element method (FEM) for the numerical solution of parabolic evolution problems in moving spatial computational domains. The discrete bilinear form is elliptic on the FEM space with respect to a discrete energy norm. This property together with a corresponding boundedness p...

We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in $\mathbb{R}^d$ with $d =2,3.$ The computational domain consist of several non-overlapping sub-domains or patches. We construct B-Spline approximation spaces which are discontinuous across pat...

Isogeometric Analysis (IgA), based on B-spline and Non-Uniform Rational B-Spline (NURBS), is a numerical method proposed in 2005 by Thomas Hughes, John Cottrell and Yuri Bazilevs to approximate solutions of partial differential equations (PDEs). IgA uses the same class of basis functions for both representing the geometry of the computational domai...

The Isogeometric Analysis (IGA), that was introduced by Hughes et al. [9] and has since been developed intensively, see also monograph [4], is a very suitable framework for representing and discretizing Partial Differential Equations (PDEs) on surfaces. We refer the reader to the survey paper by Dziuk and Elliot [7] where different finite element a...

We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computational domains. The discrete bilinear form is elliptic on the IgA space with respect to a discrete energy norm. This property together with a corresponding boundedness prope...

This paper is concerned with the construction of graded meshes for approximating so-called singular solutions of elliptic boundary value problems by means of multipatch discontinuous Galerkin Isogeometric Analysis schemes. Such solutions appear, for instance, in domains with re-entrant corners on the boundary of the computational domain, in problem...

Isogeometric analysis (IGA) is a recently developed simulation method that allows integration of finite element analysis (FEA) with conventional computer-aided design (CAD) software [1,3]. This goal requires new software design strategies, in order to enable the use of CAD data in the analysis pipeline. To this end, we have initiated G+ + +SMO (Geo...

Isogeometric analysis (IgA) uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applications, geometrical patches are used in order to get flexibility in the geometrical representation. This multi-patch representation corresponds to a decomposition of th...

Isogeometric analysis uses the same class of basis functions for both, representing the geometry of the computational domain and approximating the solution. In practical applications, geometrical patches are used in order to get flexibility in the geometrical representation. This patch representation corresponds to a domain decomposition. In this p...