This article presents a mathematical model designed to simulate the impact of targeted interventions aimed at preventing HIV transmission among female sex workers (FSWs) and their clients, while also analyzing their effects on the health of the general population. The compartmental model distinguishes between high-risk populations (FSWs and their clients) and low-risk populations (sexually active men and women in the general population), and links prevention efforts in high-risk groups to the evolution of the epidemic in the low-risk population. The fundamental properties of the model, such as the positivity of solutions and the boundedness of the system, have been verified, and the basic reproduction number R₀ has been calculated. Finally, the stability of the model was studied using Varga’s theorem and the Lyapunov method. Simulation results show that targeted prevention among FSWs and their clients reduces HIV incidence in the general population. This framework provides a valuable tool for guiding policymakers in the design of effective strategies to combat the epidemic, especially relevant in the context of suspension of USAID funding.

A residual-set framework is introduced for analyzing additive prime conjectures, with particular emphasis on the Strong Goldbach Conjecture (SGC). For each even integer $E_n\ge 4$, the residual set $ℛ\left(E_n\right)=\{E_n-p\mid$ $p<E_n,p\in \mathbb{P}\}$ is defined, and the universal residual set ${ℛ}_{\mathbb{E}}={{{\displaystyle \cup }}^{\text{}}}_{E_n}ℛ\left(E_n\right)$ is constructed. It is shown that ${ℛ}_{\mathbb{E}}$ contains infinitely many primes. A nontrivial constructive lower bound is derived, establishing that the number of Goldbach partitions satisfies $G\left(E\right)\ge 2$ for all $E\ge 8$, and that the cumulative partition count satisfies ${\displaystyle \sum }_{E\le N}G\left(E\right)\gg \frac{N^2}{{\text{log}}^{4}N}$. An optimized deterministic algorithm is implemented to verify the SGC for even integers up to 16,000 digits. Each computed partition $E_n=p+q$ is validated using elliptic curve primality testing, and no exceptions are observed. Runtime variability observed in the empirical tests corresponds with known fluctuations in prime density and modular residue distribution. A recursive construction is formulated for generating Goldbach partitions, using residual descent and leveraging properties of the residual sets. The method extends naturally to Lemoine's Conjecture, asserting that every odd integer $n\ge 7$ can be expressed as $n=p+2q$, where $p,q\in \mathbb{P}$. A corresponding residual formulation is developed, and it is proven that at least two valid partitions exist for all $n\ge 9$. Comparative analysis with the Hardy-Littlewood and Chen estimates is provided to contextualize the cumulative growth rate. The residual-set methodology offers a deterministic, scalable, and structurally grounded approach to additive problems in prime number theory, supported by both theoretical results and large-scale computational evidence.

With an increasing diversity of learners in today’s educational set-ups, there is an insurmountable need to cater for individual differences including the cultural variations among learners. It is therefore necessary for educators to develop culturally responsive teaching that enhances intercultural competencies of learners. As educators strive to provide inclusive learning environments in which learners from diverse cultural backgrounds learn equitably, differentiated instruction becomes a practical tool. This paper explores how differentiated instruction can support and enhance culturally responsive teaching by examining how tailored instructional approaches can bridge cultural gaps and enhance educational outcomes. The aim is to provide a comprehensive understanding of how educators can effectively integrate differentiated instructional methodologies to achieve the goals of Culturally Responsive Teaching. The study used a descriptive survey design to determine the use of differentiated instruction by junior school teachers in Kenya and a systematic review of literature, practical examples, and studies on teachers’ practices in culturally responsive teaching. The study outcomes indicated that teachers used various differentiated instructional strategies with flexible grouping being the most commonly used strategy. However, there arises a concern, that teachers were not very familiar with cultural variations of learners in their classrooms even as they developed their differentiated instructional strategies. Literature provided the principles and practices of culturally responsive teaching. The combination of these results were used to formulate a conceptual framework for Culturally Responsive Differentiated Instruction (CRDI) that provides insights for practitioners to develop and implement culturally responsive differentiated instructional strategies. The study recommends that a framework to support teachers in the implementation of inclusive and equitable curriculum through CRDI be developed, CRDI be integrated into the teaching processes and the teachers be trained on providing for learner differences through CRDI.

Artificial Immune Systems (AIS) are bio-inspired computational frameworks that emulate the adaptive mechanisms of the human immune system, such as self/non-self discrimination, clonal selection, and immune memory. These systems have demonstrated significant potential in addressing complex challenges across optimization, anomaly detection, and adaptive system control. This paper provides a comprehensive exploration of AIS applications in domains such as cybersecurity, resource allocation, and autonomous systems, highlighting the growing importance of hybrid AIS models. Recent advancements, including integrations with machine learning, quantum computing, and bioinformatics, are discussed as solutions to scalability, high-dimensional data processing, and efficiency challenges. Core algorithms, such as the Negative Selection Algorithm (NSA) and Clonal Selection Algorithm (CSA), are examined, along with limitations in interpretability and compatibility with emerging AI paradigms. The paper concludes by proposing future research directions, emphasizing scalable hybrid frameworks, quantum-inspired approaches, and real-time adaptive systems, underscoring AIS's transformative potential across diverse computational fields.

The Chinese film Wolf Warrior II floats all the way at the domestic box office, and jumps into the top 100 of the world's film box office rankings. It has achieved great economic success and ratings are overwhelmingly positive in China. Nevertheless, in stark contrast to this, Wolf Warrior II is cold at the box office abroad, and the word of mouth is not satisfactory. Transcreation is the re-creation or adaptation of content for a group of specific target audience. As an inter-related process of translation, a successful and holistic transcreation can arouse the same emotions as well as connotations produced in the target language as the source language. There are different perspectives to detailed translation analysis of China’s identity as a prominent character of contemporary society. Insofar as this research probes into the branding and in subtitle translation, it also constructs a binary theoretical model based on triadic signs of intersemiotic translation and metafunctional framework of multimodal analysis to testify China’s core values in this film and beyond.

This paper investigates the constructability of angles multiples of 3 within the framework of Euclidean geometry. It makes a significant contribution by presenting the first geometric construction for all such angles, offering a rigorous solution to a longstanding geometric problem. The paper reaffirms the efficacy of Euclidean geometry in providing precise constructions and robust proofs for these angles, demonstrating the enduring strength of Euclidean principles from classical to modern times. The presented workflow goes beyond Euclidean geometry to examine non-Euclidean methods, particularly analytical approaches, revealing misconceptions that compromise the genetic and geometric rigor of Euclidean principles. The paper exposes incongruities when algebraic proofs related to angle constructability are applied to the Euclidean system, emphasizing the misalignment of fundamental geometric concepts. A notable result in the paper is the construction of a angle, introducing the “ angle chord” as a novel geometric property. This property challenges assumptions made by non-Euclidean methods and highlights the nuanced geometric properties crucial for rigorous constructions. The paper refutes the fallacy of relying solely on algebra for solutions to angles multiples of , emphasizing the necessity of embracing Euclidean geometry for geometric discoveries. The paper underscores the merits and resilience of Euclidean geometry, showcasing its independence and depth across historical and modern perspectives. The newly presented geometric construction not only resolves a longstanding question but also emphasizes the intrinsic strength and uniqueness of Euclidean principles in contrast to alternative methodologies.

With the current sources of US supply chains being more diversified than before, China’s share in US goods imports is declining while Mexico becomes the largest exporter to the US market in 2023. However, can Mexico use this trade diversion to successfully outweigh China in US supply chains? This paper thus investigates whether the Mexico manufacturing sector is competitive enough to completely replace its Chinese counterparts and rise to a strategically vital supplier for the US economy. Based on multiple empirical evidence, we find that although US supply chain sources are shifting from China to Mexico, the major part of the value added of Mexican exports to the US market is generated in China. Moreover, our evidence shows that Mexico’s exports to the US concentrate on low-skill sectors, while China’s mainly consists of high-skill goods. Further discussion shows that the current US trade shift is highly likely due to China’s FDI inflows to Mexico’s traditionally strong export sector, motor vehicles. However, this shift is not significant enough for Mexico to become a capable substitute for China in the US supply chains. We conclude that the "trade diversion" strategy alone cannot support Mexico’s role in reducing the US supply chain dependence on China. Therefore, the US should better consider how to establish a sustainable trade framework that fosters stable cooperation with China.

Background: By rediscovering the medical field spiritual foundation, clinicians sought to balance their care and realize that spirituality is frequently associated with healthcare, thus one’s spiritual beliefs influence patients' decisions between aggressive care and complementary therapies in oncology care. Aim: This study investigates clinicians’ experiences and perceptions of spirituality in oncology care that clinicians can utilize to improve cancer and spiritual care provision. Methods: A thematic, qualitative synthesis. Results: Four main themes emerged from the synthesis of the 11 included studies that can steer future framework and policies to make clinicians more inept in providing care to address spiritual well-being of the patients and their family from a clinician's point of view of spirituality: “Maintaining Hope and Spiritual Wellness, Clinician’s Sensitivity to Cancer Patients, Provision of Culturally Respectful Spiritual Care, and Education in Providing Spiritual Care”. Conclusion: Cancer patients, cancer survivors, and clinicians’ quality of life is correlated with measures of spirituality and spiritual well-being. Spirituality also fulfill these oncologic patients has been linked to improved emotional and spiritual adjustment. Implications: Clinicians with different proficiencies, novice or expert, develop a strong spiritual belief can also be a strength when it comes to caring for those terminally ill patients, to be able to aid them in their sufferings. Amidst the challenges of spiritual care, these clinicians provide a patient strategy approach that is holistic to the care.

There have been various concerns about the environmental impact of construction works. This generates a need to take a more proactive approach in evaluating the environmental impacts of construction operations and further explore ways to reduce the environmental impacts. Enormous opportunities exist within the building industry to achieve a reduction in greenhouse gas emissions. The aim of the study is to develop a framework for the evaluation of improvement opportunities for environmental impact for onsite and offsite building construction works using life cycle assessment (LCA) and value-stream-mapping concepts. Various tools for LCA exist; however, there is a need for the development of an LCA framework and improvement opportunities that can be localized to various communities to evaluate improvement opportunities for building construction. This study conducts a review of methods to evaluate the LCA of buildings on local construction sites. A procedure for establishing improvement opportunities is also developed. Based on the author’s knowledge and experience, including site visits, using value stream mapping (VSM) techniques, a conceptual framework of the present state map and future state map of residential construction works was developed. The study presents a procedure for the evaluation of improvement opportunities for the environmental impacts of construction operations.

The decision to choose between onsite and offsite construction is important in the effort toward sustainable construction. Offsite construction is often promoted as an environmentally friendly approach to construction operations. However, previous studies have shown that there is a lack of clarity on the environmental trade-offs between onsite and offsite construction. Factors that can affect the decision to build onsite or offsite include the availability of a local offsite manufacturing facility, the distance of the offsite factory to the final place of use, the proximity of the site to the local supply of material and labor, etc. This study provides a framework to apply the system dynamic modeling technique to evaluate how various factors can affect the environmental impact of the building construction phase (for onsite or offsite construction methods). The system dynamic model (using Vensim software) that was developed provides a platform that allows users to input variables such as the distance that is expected for transportation of labor, material, and equipment to both the onsite facility and the offsite construction location, factors associated with the use of equipment for construction, the distance needed for transportation of building panels or modules from the offsite facility to the final site, etc. Among other things, the model showed that an increase in the distance from the offsite yard to the final construction site increases the total impacts of transportation of completed modules. An increase in the number of trips for the transportation of material to the onsite construction location increases the total impact of onsite construction. In terms of the environmental impact of construction, none of the two methods of construction gives an absolute superiority over the other. The environmental performance of offsite and onsite depends on various associated factors. It is recommended that building practitioners review various factors that are peculiar to their projects to make an informed decision on the best construction methods.

The building construction industry holds a crucial role in the reduction of greenhouse gas emissions globally. The targets for greenhouse gas emissions may not be achieved without a defined strategic plan to meet up with the set targets from various sectors of the economy. Recognizing the enormous potential that the building industry holds in contributing to global greenhouse gas GHG emission reduction, this study describes a framework on how optimization techniques can be used as a guide for emission reduction targets for the housing sector using illustrations of the onsite and offsite building construction industry. Given that some of the GHG gases are also sources of air pollution, this study includes a discussion on how the effort to address air pollution can be used to find a consensus towards addressing the concern about GHG emissions. This study presents procedures for simplified methods of estimation of GHG emissions that various municipalities around the globe can use to estimate and report the emissions from the building construction industry. The study presents a unifying strategy for emission management. The study also demonstrates how programming methods can be applied to GHG emissions management. The approach used in this study is transferable to other industries. The study recommends a unifying strategy for the management and control of emissions in the building construction industry. The study also recommends a coordinated effort in sharing best practices for emission control and management from all jurisdictions globally. In the effort to reduce global emission targets, further studies like this and its expansion is recommended for all sectors of the global economy. It is recommended that these studies should be followed by a concrete effort to achieve good implementation of sustainable emission reduction targets globally.

The aim of this article is to examine the impacts of Coronavirus Disease -19 (Covid-19) vaccines on economic condition and sustainable development goals. In other words, we are going to study the economic condition during Covid19. We have studied the economic costs of pandemic, benefits in terms of gross domestic product (GDP), public finances and employment, investment on vaccines around the world, progress and totally the economic impacts of vaccines and the impacts of emerging markets (EM) on achieving sustainable development goals (SDGs), including no poverty, good health and well-being, zero hunger, reduced inequality etc. The importance of emerging economies in reducing the harmful effects of the Corona has also been noted. We have tried to do experimental results and forecast daily new death cases from Feb-2020 to Aug-2021 in Iran using Artificial Neural Network (ANN) and Beetle Antennae Search (BAS) algorithm as a case study with econometric models and regression analysis. The findings show that Covid19 has had devastating economic and health effects on the world, and the vaccine can be very helpful in eliminating these effects specially in long-term. We observed that there is inequality in the distribution of Corona vaccines in rich countries compared to poor which EM can decrease the gap between them. The results show that both models (i.e., Artificial intelligence (AI) and econometric models) almost have the same results but AI optimization models can robust the model and prediction. The main contribution of this article is that we have surveyed the impacts of vaccination from socio-economic viewpoint not just report some facts and truth. We have surveyed the impacts of vaccines on sustainable development goals and the role of EM in achieving SDGs. In addition to using the theoretical framework, we have also used quantitative and empirical results that have rarely been seen in other articles.

The effects of climate change are already being felt in several parts of the World. Variability of changing rainfall intensity, drought and weather patterns contribute to determining the vulnerability of many human activities such as agriculture. In the next future, climate change considerations will depend on having appropriate strategies such as strengthen implementation agencies working in a coordinated manner and with a data-driven approach in order to ensure monitoring, reporting and data verification. In this context, national and regional meteorological Services are facing with high demand for timely and quality information, services and products. A web-based interactive application with the aim of disseminating meteo-hydrological information at regional scale is described in this paper. The web application is built on a relational database and client-side programming has been used for implementing the user interface and controlling the web page behavior. The combination of PHP (Hypertext Preprocessor, a general-purpose scripting language, especially suited to server-side web development) and JavaScript (high-level object-oriented scripting language, nowadays the dominant client-side scripting language of the Web) has been chosen for this reason, since such software is free to use for everyone. The SOL system, developed on behalf of Marche region, Italy, was chosen as a case study, due to its multi-source data framework and because of the processing and public dissemination of several ad-hoc data elaborations.

Hypertension remains a leading cause of cardiovascular morbidity and mortality. Although effective antihypertensive therapies are available, sustained blood pressure control remains suboptimal due to inconsistent medication use. Most adherence research is quantitative and offers limited understanding of how individuals interpret lifelong treatment within daily life, particularly in culturally grounded contexts. To explore the lived experiences of Filipino adults taking antihypertensive medication. A qualitative study grounded in Heideggerian interpretive phenomenology was conducted. Ten Filipino adults diagnosed with hypertension were purposively recruited from outpatient clinics in Manila, Philippines. In-depth semi-structured interviews were transcribed verbatim and analyzed using the six-step IPA framework. Analysis revealed six interconnected themes describing how participants interpreted and sustained medication use: (1) Diagnosis as Disruption; (2) Medication as Protection and Responsibility; (3) The Paradox of the Silent Illness; (4) Everyday Barriers to Sustained Treatment; (5) Constructing Routine and Adaptive Self-Management; and (6) Family as Anchor within Cultural Contexts. These themes reflected emotional adjustment, symptom-driven adherence, financial and work-related barriers, adaptive coping strategies, and strong family-centered motivation. Medication-taking was experienced as an ongoing negotiation shaped by bodily cues, daily demands, and relational obligations. Conclusion: Antihypertensive medication use is shaped by relational, cultural, and socioeconomic contexts, underscoring the need for family-inclusive and culturally responsive hypertension care.

The construction industry remains one of the most hazardous sectors globally, with Nigeria experiencing a high incidence of workplace accidents despite the adoption of Occupational Health and Safety Management (OHSM) frameworks. This study evaluated the effectiveness of OHSM practices in improving workplace safety across construction companies in Nigeria’s coastal cities. A cross-sectional design was employed, combining quantitative surveys of construction workers (n = 1,400) with qualitative interviews of 35 managers and supervisors. Quantitative data were analyzed using SPSS version 28, while thematic analysis was applied to qualitative responses. Findings revealed a generally positive perception of OHSM, with 54.4% of workers rating OHS policy effectiveness as “Good” and 52.0% rating health outcomes as “Good.” However, accident frequency remained a concern, with 46.4% reporting accidents occurred “Occasionally” and 31.9% acknowledging them as “Frequent” or “Very Frequent.” Comparative analysis showed indigenous firms were rated higher in policy effectiveness and health outcomes but also reported slightly higher accident frequencies than international firms. Thematic analysis identified five key monitoring and evaluation strategies including routine inspections, regular training, audits, behavioural reinforcement, and access control, Also, five measures of OHSM effectiveness, including compliance observation, incident tracking, KPIs, employee feedback, and benchmarking. OHSM was found to positively influence project outcomes by reducing compensation costs, enhancing reputation, and improving supervision and quality of work. OHSM practices in Nigeria’s construction sector are perceived as effective in policy and health outcomes, yet accident rates remain a critical challenge. The study underscores the importance of continuous training, stricter enforcement, behavioural reinforcement, and systematic performance evaluation.

This Practice-based research explores the innovative application of textiles in the creation of decorative flower vases, positioning them at the intersection of functional design and contemporary art. The study investigates the potential of techniques such as weaving, embroidery, and applique to transcend the conventional boundaries of the medium. Through a methodological framework combining material experimentation interviews with textile artisans and pottery producers in Accra, and critical reflection, the research examines the interplay of materiality, form and aesthetics. It integrates traditional Ghanaian motifs with modern design principles to create culturally resonant, sustainable artworks. The findings demonstrate textiles' significant versatility and creative capacity for producing unique decorative objects. This study contributes to discourses on material innovation and sustainable design by highlighting textiles as a dynamic medium for artistic expression. It offers practical insights for artisans and designers, underscoring the role of textiles in evolving traditional crafts for contemporary contexts.

This study addresses the critical challenge of material scarcity within Ghana’s creative industries by pioneering the synthesis of professional-grade stage blood from indigenous, locally-sourced materials. In the context of Ghanaian theatre and film, practitioners face significant barriers due to the high cost and limited availability of imported special effects products, often resulting in the use of inadequate substitutes that compromise aesthetic realism, safety, and narrative authenticity. This paper responds by exploring the potential of cassava starch, tapioca, kenkey dough, and fufu wax. Grounded in Schumacher’s theory of Appropriate Technology, the paper reframes indigenous resources not as inferior alternatives but as technologically and contextually appropriate solutions that align with Ghana’s economic, environmental, and social realities. The study provides detailed, reproducible recipes for both flowing and clotted blood variants, validated through practical application in simulated special effects such as gunshot wounds and deep-tissue scars. These formulations meet key performance criteria: visual fidelity under theatrical and cinematic conditions, controlled viscosity, ease of application and removal, and performer safety. Beyond technical innovation, this research contributes to shifting academic and professional discourse from dependency and scarcity toward resourcefulness, sustainability, and artistic self-reliance. It offers a practical framework for reducing production costs, enhancing the quality of visual storytelling, and fostering local value chains within Ghana’s growing creative economy.

Mathematical modeling plays a central role in infectious disease epidemiology, shaping outbreak response strategies and informing public health policy. The COVID-19 pandemic demonstrated the value of these models but also exposed persistent limitations related to data fragility, lack of transparency, limited stakeholder engagement, and insufficient consideration of social and political contexts. Rather than critiquing modeling as a discipline, this perspective argues for a reorientation of infectious disease modeling toward a more responsive, equity-centered, and participatory paradigm. We propose a conceptual framework built on three interrelated principles: adaptability through real-time data integration, transparency via open-source and reproducible practices, and relevance through interdisciplinary and co-produced model design. Drawing on illustrative examples from COVID-19 and dengue control efforts, we highlight how integrating behavioral dynamics, local knowledge, and policy feedback can improve model usefulness and public trust. Reconceptualizing models as dynamic systems of inquiry rather than static forecasting tools can enhance decision-making and promote more equitable and effective responses to future public health emergencies.

This paper examines the transformation of Yi women’s social status in Daliangshan, Sichuan Province. It analyzes historical practices—including child marriage (wawaqin) and the tradition of high bridal gifts—along with the role of education, economic modernization, and cultural advocacy initiatives. The study situates these developments within the framework of the United Nations Sustainable Development Goals (SDGs), focusing on gender equality, poverty alleviation, and equitable development. Field interviews, observations, and community-based projects inform this analysis, which highlights both progress and persisting challenges for Yi women.