Baba Seidu
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Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay Open
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation fo…
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…
Modelling Meningitis Transmission with Booster Vaccination and Resistance Dynamics: Equilibrium and Control Analyses Open
Meningitis remains a global health threat due to its high fatality, epidemic potential, and rising antibiotic resistance. While mathematical models exist, previous studies often neglected the combined dynamics of booster vaccination waning…
Mathematical Analysis of the Monkeypox Epidemic With Infective Immigrants Using Real Data From Nigeria Open
The recent resurgence of monkeypox highlights the urgent need for a deeper understanding of its transmission dynamics and effective intervention strategies. This study develops a nonlinear SEIR‐type model that integrates vaccination, treat…
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…
Fractional‐Order Modeling of Monkeypox Dynamics: Insights From Optimal Control Open
This study develops a fractional‐order (FO) Susceptible–Exposed–Quarantined–Vaccinated–Infected–Treated–Recovered model for monkeypox that incorporates Caputo fractional derivatives to capture memory effects in disease transmission. The mo…
Parameter estimation for photovoltaic systems: An enhanced Broyden-like approach Open
Solar energy, specifically photovoltaic systems, has emerged as a prevalent source of electrical power worldwide, gaining acceptance on many continents. While numerous African countries are gradually embracing this alternative energy due t…
Dynamical study of Malaria epidemic: Stability and cost-effectiveness analysis in the context of Ghana Open
The Malaria epidemic is a serious public health issue that is worrying to the affected people in the tropics and subtropical parts of the world. The alarming consequences of the disease have prompted the scientific communities to seek bett…
Mathematical analysis of the role of host-to-host transmission of Maize Streak Virus Disease with Atangana-Baleanu derivative Open
In this article a deterministic model for Maize Streak Virus Disease (MSVD) using a fractional-order differential equation with the Atangana-Baleanu Caputo-type operator is developed. Focusing on the role of host-to-host transmission, the …
A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria Open
This study delves into the often‐overlooked impact of immature mosquitoes on the dynamics of malaria transmission. By employing a mathematical model, we explore how these aquatic stages of the vector shape the spread of the disease. Our an…
Mathematical Analysis of Malaria Epidemic: Asymptotic Stability With Cost‐Effectiveness Study Open
Malaria is an old, curable vector‐borne disease that is devastating in the tropics and subtropical regions of the world. The disease has unmatched complications in the human host, especially in children. Mathematical models of infectious d…
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…
A non-standard numerical scheme for an alcohol-abuse model with induced-complications Open
The prevalence of alcohol-related fatalities worldwide is on the ascendancy not only Ghana, but worldwide. Although the ramifications of alcohol consumption have been the subject of several studies, alcoholism remains a serious concern in …
Optimal strategies for control of cholera in the presence of hyper-infective individuals Open
Cholera is a potentially life-threatening bacterial infection caused by the bacterium Vibrio cholerae, with the primary site of infection being the small intestine. The disease typically spreads through contaminated water and food and beco…
A mathematical model on the transmission dynamics of typhoid fever with treatment and booster vaccination Open
Typhoid fever is a potentially fatal illness that is caused by the bacteria Salmonella typhi . In this study, a deterministic mathematical model was formulated to look into transmission dynamics of typhoid fever with treatment and booster …
On the Optimal Control of HIV-TB Co-Infection and Improvement of Workplace Productivity Open
Human immunodeficiency virus (HIV) and tuberculosis (TB) have long been known to have a synergistic relationship. This is a result of each of the diseases impacting negatively on the immune system of the infected persons. The impact of the…
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…
A mathematical analysis of the impact of maternally derived immunity and double-dose vaccination on the spread and control of measles Open
Measles is a highly communicable viral infection that mostly affects children aged 5 years and below. Maternal antibodies in neonates help protect them from infectious diseases, including measles. However, maternal antibodies disappear a f…
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…
A Mathematical Evaluation of the Cost-Effectiveness of Self-Protection, Vaccination, and Disinfectant Spraying for COVID-19 Control Open
The world is on its path from the post-COVID period, but a fresh wave of the coronavirus infection engulfing most European countries makes the pandemic catastrophic. Mathematical models are of significant importance in unveiling strategies…
Mathematical Analysis of Rabies Transmission Dynamics and Control Open
Rabies is a dangerous disease that kills many people than any other communicable disease and yet it is underrated. This results from the little knowledge on the myriad ways of transmission of the virus. A deterministic model is proposed to…
A comprehensive cost-effectiveness analysis of control of maize streak virus disease with Holling’s Type II predation form and standard incidence Open
Maize streak virus disease, caused by the maize streak virus, has been identified as severe vector-borne disease in Africa. In most regions of the continent, the disease is generally uncontrolled, and in epidemic years, it contributes to m…
Mathematical Analysis of COVID-19 Transmission Dynamics Model in Ghana with Double-Dose Vaccination and Quarantine Open
The discovery of vaccines for COVID-19 has been helpful in the fight against the spread of the disease. Even with these vaccines, the virus continues to spread in many countries, with some vaccinated persons even reported to have been infe…
A Mathematical Model of the Transmission Dynamics and Control of Bovine Brucellosis in Cattle Open
Brucellosis is one of the most serious diseases that wreaks havoc on the production of livestock. Despite various efforts made to curb the spread of brucellosis, the disease remains a major health concern to both humans and animals. In thi…
Mathematical modeling of the dynamics of maize streak virus disease (MSVD) Open
In this paper, a deterministic ordinary differential equations model for the transmission dynamics of maize streak virus disease (MSVD) in maize plants is proposed and analyzed qualitatively. Using the next generation matrix approach, the …
Optimal Strategies for the Control of Cholera with Three Infection Routes Open
Cholera is an acute intestinal infection and water borne disease that has claimed and continue to claim the lives of millions of people in the developing countries. Its effects on developing countries cannot be ignored since most of the pe…
A mathematical model of anthrax epidemic with behavioural change Open
Anthrax is an acute infectious zonootic disease caused by Bacillus anthracis, a gram-positive, rod-shaped non-motile bacterium. It is a disease that mainly affects herbivorous animals of both domestic and wildlife, and causes devastating s…
Modeling the impact of early interventions on the transmission dynamics of coronavirus infection Open
A deterministic model is proposed to describe the transmission dynamics of coronavirus infection with early interventions. Epidemiological studies have employed modeling to unravel knowledge that transformed the lives of families, communit…
Modeling the impact of early interventions on the transmission dynamics of coronavirus infection Open
A deterministic model is proposed to describe the transmission dynamics of coronavirus infection with early interventions. Epidemiological studies have employed modeling to unravel knowledge that transformed the lives of families, communit…