The World Health Organization is yet to realise the global aim of achieving future-free and eliminating the transmission of respiratory diseases such as H1N1, SARS and Ebola since the recent reemergence of Ebola in the Democratic Republic of Congo. In this paper, a Caputo fractional-order derivative is applied to a system of non-integer order differential equation to model the transmission dynamics of respiratory diseases. The nonnegative solutions of the system are obtained by using the Generalized Mean Value Theorem. The next generation matrix approach is used to obtain the basic reproduction number \( \mathcal {R}_{0} \). We discuss the stability of the disease-free equilibrium when \(\mathcal {R}_{0} < 1\), and the necessary conditions for the stability of the endemic equilibrium when \(\mathcal {R}_{0} > 1 \). A sensitivity analysis shows that \(\mathcal {R}_{0} \) is most sensitive to the probability of the disease transmission rate. The results from the numerical simulations of optimal control strategies disclose that the utmost way of controlling or probably eradicating the transmission of respiratory diseases should be quarantining the exposed individuals, monitoring and treating infected people for a substantial period.

We examine the effectiveness and sustainability of the distance teacher education program established by the University of Education, Winneba, Ghana, by investigating the differences in the academic performance of students who are trained in the teacher education program via traditional and distance education modes, respectively, from 2011 to 2015. Close attention is paid to the factors that affect the academic performance of students in the distance mode. Our findings confirm that traditional mode students perform better than their distance mode counterparts in terms of cumulative GPAs. Gender and economic demographics of distance study centers are found to affect the academic performance of distance education students significantly. The policy implications of these findings are discussed and directions of further action are outlined.

In this work, we apply the extended simple equation method to study the dispersive traveling wave solutions of (2+1)-dimensional Nizhnik–Novikov–Vesselov (NNV), Caudrey–Dodd–Gibbon (CDG) and Jaulent–Miodek (JM) hierarchy nonlinear equations. A set of exact, periodic and soliton solutions is obtained for these models confirming the effectiveness of the proposed method. The models studied are important for a number of application areas especially in the field of mathematical physics. Interesting figures are used to illustrate the physical properties of some obtained results. A comparison between obtained solutions and established results in the literature is also given.

The increasing complexity of administrative tasks in educational institutions has necessitated the adoption of automated systems powered by artificial intelligence (AI) and other advanced technologies. This chapter explores the role of AI in streamlining administrative processes such as grading, scheduling, and attendance tracking. It highlights the benefits of automation, including improved efficiency, reduced workload for educators, and enhanced accuracy. However, the chapter also addresses the challenges associated with automation, such as data privacy concerns, implementation costs, and resistance to change. By examining current research and case studies, this chapter provides a comprehensive overview of the potential and pitfalls of automating administrative tasks in education.

The first‐ and second‐order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first‐ and second‐order Benjamin–Ono partial differential equations are studied in this paper. Using the extended simple equation approach, we obtained new exact, periodic, kink soliton, dark soliton, and bright soliton solutions. The moments of the obtained solutions are shown graphically to illustrate the models’ physical properties. These solutions have important uses in nanofluids and fluid dynamics. Using modulation instability analysis, the sensitivities of the septic nonlinearities in the models are examined. All of the resulting solutions are analytical and stable under the specified conditions, according to the modulation instability analysis.