Eric Okyere
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Dynamical Modelling and Optimal Control of Conjunctivitis Epidemic Open
In this study, we develop a mathematical model for conjunctivitis transmission dynamics. We fit the model to the incident cases in Singapore. We obtain the positivity and boundedness of the proposed model, the qualitative basic reproductio…
Deterministic nonlinear epidemiological model for COVID-19 infection with double-dose vaccination Open
COVID-19 remains relevant public health concern, and vaccinations play central role in reducing transmission and severity. While vaccination has been incorporated into several epidemic models, it is often represented as a single-dose proce…
Mathematical Modeling and Cost‐Effectiveness Analysis of an <i>S</i><sub><i>e</i></sub><i>E</i><sub><i>e</i></sub><i>I</i><sub><i>e</i></sub><i>R</i><sub><i>e</i></sub> Typhoid Fever Model Open
The complications induced by typhoid fever in the host are a significant concern for public health, with most countries in Sub‐Saharan Africa, Asia, and North America grappling with their worst typhoid cases and deaths owing to poor sanita…
Global stability analysis and modelling onchocerciasis transmission dynamics with control measures Open
Background: Onchocerciasis infection is one of the neglected tropical diseases targeted for eradication by 2030. The disease is usually transmitted to humans through the bites of black flies. These black flies mostly breed near well-oxygen…
Fractional‐Order Epidemic Model for Measles Infection Open
In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional‐order derivative operator. The model’s existence and uniqueness are established. In addition, the model equilibr…
Fractional‐Order Delay Cobweb Model and Its Price Dynamics Open
This study compares the price dynamics of a Caputo fractional order delay differential cobweb model with existing cobweb models that have conformable fractional derivatives, Caputo fractional derivatives, and nonsingular kernel fractional …
Assessment of Neonatal Mortality and Associated Hospital-Related Factors in Healthcare Facilities Within Sunyani and Sunyani West Municipal Assemblies in Bono Region, Ghana Open
Objectives: Ghana’s quest to reduce neonatal mortality, in hospital facilities and communities, continues to be a nightmare. The pursuit of achieving healthy lives and well-being for neonates as enshrined in Sustainable Development Goal th…
A fractional mathematical model for listeriosis infection using two kernels Open
Listeriosis is a life-threatening illness that can be spread through contaminated food. The bacteria responsible for this disease is Listeria monocytogenes. The annual incidence rate ranges from less than one to more than ten per one milli…
Comparative Analysis of the Time-Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM) Open
The residual power series method is effective for obtaining solutions to fractional-order differential equations. However, the procedure needs the n − 1 ϖ derivative of the residual function. We are all aware of the difficulty of computing…
Fractal-Fractional Caputo Maize Streak Virus Disease Model Open
Maize is one of the most extensively produced cereals in the world. The maize streak virus primarily infects maize but can also infect over 80 other grass species. Leafhoppers are the primary vectors of the maize streak virus. When feeding…
Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection Open
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 …
Optimal control and cost-effectiveness analysis of anthrax epidemic model Open
Anthrax is an acute infectious zoonotic disease caused by the spore-forming Bacillus anthracis, a sporulating, nonmotile, gram-positive rod-shaped bacterium. The disease primarily affects domestic and wild herbivores and continues to threa…
Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection Open
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…
Comparing Bayesian and Maximum Likelihood Methods in Structural Equation Modelling of University Student Satisfaction: An Empirical Analysis Open
Students’ satisfaction in the university environment is essential to both the student (customer) and management of the university. Satisfied students are determined to succeed in their academics, and this sustains their loyalty and trust, …
The Fractional Series Solutions for the Conformable Time‐Fractional Swift‐Hohenberg Equation through the Conformable Shehu Daftardar‐Jafari Approach with Comparative Analysis Open
The major objective of this study is to derive fractional series solutions of the time‐fractional Swift‐Hohenberg equations (TFSHEs) in the sense of conformable derivative using the conformable Shehu transform (CST) and the Daftardar‐Jafar…
Optimal control and cost-effectiveness analysis for dengue fever model with asymptomatic and partial immune individuals Open
Dengue is a vector-borne disease with an increasing incidence worldwide, and it is transmitted by the bites of mosquitoes infected with dengue viruses. This viral infection persistently affects economic sectors and public health. Hence, th…
Optimal control and comprehensive cost-effectiveness analysis for COVID-19 Open
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 C…
Fractional SEIRP model for COVID-19 dynamics incorporatingsocial distancing and environment Open
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 f…
Modelling COVID-19 Transmission Dynamics in Ghana Open
In late 2019, a novel coronavirus, the SARS-CoV-2 outbreak was identified in Wuhan, China and later spread to every corner of the globe. Whilst the number of infection-induced deaths in Ghana, West Africa are minimal when compared with the…
Analysis of Zika virus dynamics with sexual transmission route using multiple optimal controls Open
In this paper, we formulate and analyse a nonlinear optimal control problem for a Zika virus (ZIKV) infection model with sexual transmission route. An existing deterministic 11-dimensional autonomous system of differential equations is ext…
Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls Open
In this paper, we have studied epidemiological models for Ebola infection using nonlinear ordinary differential equations and optimal control theory. We considered optimal control analysis of SIR and SEIR models for the deadly Ebola infect…
Controlling the Transmission Dynamics of COVID-19 Open
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 re…
Testing the Robustness of Linear Programming* Using a Diet Problem on a Multi-Shop System Open
Time, raw materials and labour are some of the nite resources in the world. Due to this, Linear Programming* (LP) is adopted by key decision-markers as an innovative tool to wisely consume these resources. This paper test the strength of l…
A Caputo based SIRS and SIS fractional order models with standard incidence rate and varying population Open
In the present work, we have introduced and studied two epidemic models that are constructed with Caputo fractional derivative. We considered standard incidence rate and varying population dynamics for SIS and SIRS mathematical models. Mod…