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Publication A mathematical theoretical study of Atangana-Baleanu fractional Burgers’ equations(Elsevier BV, 2024-09)In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model’s mathematical solution. The solution’s existence and uniqueness are examined using fixed point theory. Several numerical simulations that enhance the efficacy of the employed derivative are presented and discussed. - Some of the metrics are blocked by yourconsent settings
Publication Identifiability analysis of an HIV-Ebola co-infection using the mathematical model and the MLE method(Elsevier BV, 2025-06)In this paper, we develop a mathematical model to analyze the identifiability of HIV-Ebola co-infection using the maximum likelihood method. By analyzing real-world data, this research assesses the accuracy of parameter estimation in the epidemic model. We consider various epidemiological factors, including disease transmission, progression, mortality, and recovery rates, to evaluate the model’s identifiability. The maximum likelihood estimation (MLE) method is applied to estimate the parameters, utilizing the Fisher Information Matrix for structural identifiability and profile likelihood analysis for practical identifiability to assess the reliability of the estimated parameters. The results demonstrate that Ebola has a high transmission rate and rapid disease progression, emphasizing the urgent need for prompt and vigorous public health interventions during outbreaks. However, HIV’s gradual spread and chronic nature highlight the importance of ongoing work in preventive and treatment techniques. The nature of co-infection shows synergistic effects, in which the presence of one virus increases susceptibility to the other, thereby aggravating health consequences. The results will help improve knowledge of the co-infection patterns among HIV and EVD, lead future research, and assist in evidence-based decision-making for public health interventions aimed at co-infected individuals. - Some of the metrics are blocked by yourconsent settings
Publication Mathematical descriptions of grading linked with prediction of mechanical consequences of suffusion(Elsevier BV, 2026-03)Internal erosion is a leading cause of disfunctions and failures of earth embankments when used as water retaining structures. Internal erosion results from water flowing through the embankments, removing particles from the soils forming the embankments. It may even occur in the embankment foundations if they are made of soils. It changes a soil’s particle size distribution, increases its void ratio, shifts its critical state line upwards in the compression plane and alters its stress–strain behavior. This paper presents new mathematical links and constitutive model ingredients to capture these effects. They apply to a gap-graded soil and a particular type of erosion known as suffusion. The evolution of the particle size distribution is characterised through a grading state index, defined in terms of geometrical properties which are fractal. These new ingredients are incorporated into the Severn-Trent model to simulate stress–strain responses of the soil, subjected to drained triaxial compression, having experienced different amounts of suffusion. The simulations match the experimental data well. The model and its ingredients are also used to simulate other property changes to the gap-graded soil which follow different amounts of suffusion, especially the soil’s reduced strength and increased tendency for compression. - Some of the metrics are blocked by yourconsent settings
Publication Little and often: Causal inference machine learning demonstrates the benefits of homework for improving achievement in mathematics and science(Elsevier BV, 2024-10)Background: Despite its important role in education, significant gaps remain in the literature on homework. Notably, there is a dearth of understanding regarding how homework effects vary across different subjects, how student backgrounds may moderate its effectiveness, what the optimal amount and distribution of homework is, and how the causal impact of homework can be disentangled from other associations. Aims: This study examines the different effects of homework frequency and duration on student achievement in both mathematics and science while adopting a causal inference probabilistic framework. Sample: Our data consists of a nationally representative sample of 4118 Irish eighth grade students, collected as part of TIMSS 2019. Methods: We employ an extension of a causal inference machine learning model called Bayesian Causal Forests that allows us to consider the effect of homework on achievement in mathematics and science simultaneously. By investigating the impacts of both homework frequency and duration, we discern the optimal frequency and duration for homework in both subjects. Additionally, we explore the potential moderating role of student socioeconomic backgrounds. Results: Daily homework benefitted mathematics achievement the most, while three to four days per week was most effective for science. Short-duration assignments proved equally as effective as longer ones in both subjects. Notably, students from advantaged socioeconomic backgrounds did not gain more from homework. Conclusions: These findings can guide policies aimed at enhancing student outcomes while promoting a balance between academic responsibilities and extracurricular activities. - Some of the metrics are blocked by yourconsent settings
Publication Aspirations of becoming a mathematics or a science teacher: A CB-SEM analysis of preservice teachers' self-ascribed identities(Elsevier BV, 2025)Addressing the global shortage of qualified math and science teachers is a serious challenge, especially for developing countries that are losing skilled educators to jobs overseas. The paper examines the factors influencing career aspirations among preservice teachers in mathematics and science, an area that has received limited focused investigation. Using covariance-based structural equation modeling (CB-SEM), the proposed model examines how motivation, social influence, professional identity, and decisional self-efficacy contribute to career decidedness, subsequently informing career aspirations. Data were collected from 615 mathematics and science preservice teachers enrolled in teacher education institutions across the Visayas regions of the Philippines. The CB-SEM results revealed three key findings: (a) motivation significantly predicts teaching career aspirations, (b) career decidedness has a strong direct positive effect on the intention to pursue teaching, and (c) preservice science teachers demonstrate stronger links between motivation, decisional self-efficacy, and career decidedness compared to their mathematics counterparts. These findings have implications for teacher education policy and programs aimed at strengthening aspirations, recruitment, and retention in mathematics and science teaching professions.
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Publication Some properties of the pT regions observed at the LHC energies(2025-04-29)The inclusive spectrum of the charged particles, [Formula: see text]0- and [Formula: see text]-mesons produced in the pp collisions at LHC energies were analyzed by fitting them with exponential functions. It was found the spectra were composed of several p[Formula: see text] regions, which could be characterized by the length of the regions [Formula: see text] and two free fitting parameters [Formula: see text] and [Formula: see text]. The study of the [Formula: see text] dependences of the parameters [Formula: see text] and [Formula: see text] and of the energy dependencies of the [Formula: see text], [Formula: see text] and [Formula: see text] showed that the regions can be classified into two groups depending on the values of the [Formula: see text], [Formula: see text] and [Formula: see text]. The values of the [Formula: see text] and [Formula: see text] for the first group don’t depend on colliding energy and the type of the particles (though the values of [Formula: see text] increase linearly with energy) whereas the characteristics in the second group of regions show strong dependencies. It was found that the ratio of the length for the [Formula: see text]-mesons to one for the [Formula: see text]0-mesons is approximately equal to the ratio of their mass: [Formula: see text]. Assuming that the values of the [Formula: see text] are directly proportional to the string tension the result could be considered as evidence in favor of parton string fragmentation dynamics. The increase in the lengths for the [Formula: see text]-mesons’ regions is accompanied by an increase of the values for the parameter [Formula: see text]. It can mean that the [Formula: see text]-mesons were produced at smaller values of [Formula: see text] compared with that for [Formula: see text]0-mesons. The results show that for the first group of regions the lengths of the regions are [Formula: see text]3–5 times greater than the lengths of neighboring, lower p[Formula: see text] regions. For the second group of regions the lengths of the regions are [Formula: see text]1–2 times greater than the lengths of neighboring lower p[Formula: see text] region. In the framework of the string fragmentation and hadronization dynamics, this could mean that the particles in the group [Formula: see text] of regions are produced through previous-generation strings decays into [Formula: see text]3–5 strings while those in group [Formula: see text] originate from previous-generation strings decays into [Formula: see text]2 strings.