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PREVENTION STRATEGIES TO CONTROL AN EPIDEMIC USING A SEIQHRV MODEL
Mohit Soni,Rajesh Kumar Sharma,Shivram Sharma Korean Society of Mathematical Education 2024 純粹 및 應用數學 Vol.31 No.2
This study investigates the impact of precautionary measures, such as isolating exposed individuals, wearing masks, and maintaining physical distance, on preventing infectious disease. A deterministic SEIQHRV epidemic model is employed for this purpose. The model's positivity, boundedness, disease-free, and endemic equilibrium points are identified. A sensitivity test assesses the impact of preventive measures on infected classes. Results show that a basic reproduction number less than unity drives disease eradiction, while a higher unity value encourages the adoption of preventive measures.
Additive Manufacturing of Functionally Graded Materials: A Comprehensive Review
Mohit Teacher,Rajkumar Velu 한국정밀공학회 2024 International Journal of Precision Engineering and Vol.25 No.1
Functionally graded materials (FGMs) are a new generation of engineered materials whose composition and structure are spatially varied through non-uniform distribution. This article presents a comprehensive overview of FGMs, including their conventional fabrication techniques in brief and a detailed analysis of their fabrication through additive manufacturing (AM). In contrast, the AM enables the fabrication of complex and intricate geometry. The combination of materials composition, manufacturing techniques, and modelling of FGMs is conferred with appropriate insistence on illuminating the fundamental structure–property-material relationships. Further, the challenges in the fabrication, modelling, and strategy to process of FGMs are discussed.
FIXED POINT OF α − ψ−CONTRACTIVE MULTIFUNCTION IN FUZZY METRIC SPACES
Mohit Kumar,Ritu Arora 한국전산응용수학회 2017 Journal of applied mathematics & informatics Vol.35 No.3
Recently Samet, Vetro and Vetro introduced the notion of α− ψ−contractive type mappings and initiated some fixed point theorems in complete metric spaces. The notion of α∗ − ψ−contractive multifunctions and initiated some fixed point results by Hasanzade Asl et. al. [8]. In this paper, we introduced the notion of α∗ − ψ−contractive multifunctions in a fuzzy metric space and gave fixed point results for these multifunctions in complete fuzzy metric spaces. We also obtain a fixed point results for self-maps in complete fuzzy metric spaces satisfying contractive condition.
Role of dexmedetomidine in pediatric dental sedation
Mohite, Vedangi,Baliga, Sudhindra,Thosar, Nilima,Rathi, Nilesh The Korean Dental Society of Anesthsiology 2019 Journal of Dental Anesthesia and Pain Medicine Vol.19 No.2
Dexmedetomidine is a highly selective ${\alpha}2$-adrenoceptor agonist with a vast array of properties, making it suitable for sedation in numerous clinical scenarios. Its use was previously restricted to the sedation of intensive care unit patients. However, its use in pediatric dental sedation has been gaining momentum, owing to its high suitability when compared with conventional pediatric sedatives. Its properties range from sedation to anxiolysis to analgesia, due to its sympatholytic properties and minimal respiratory depression ability. Because dexmedetomidine is an efficacious and safe drug, it is gaining importance in pediatric sedation. Thus, the aim of this review is to highlight the properties of dexmedetomidine, its administration routes, its advantages over the commonly used pediatric sedatives, and especially its role as an alternative pediatric sedative.
Decomposition of special pseudo projective curvature tensor field
Mohit Saxena,Pravenn Kumar Mathur 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.5
The aim of this paper is to study the projective curvature tensor field of the Curvature tensor $R_{jkh}^i$ on a recurrent non Riemannian space admitting recurrent affine motion, which is also decomposable in the form $R_{jkh}^i$=$X^{i}$ $Y_{jkh}$, where $X^{i}$ and $Y_{jkh}$ are non-null vector and tensor respectively. In this paper we decompose Special Pseudo Projective Curvature Tensor Field. In the sequal of decomposition we established several properties of such decomposed tensor fields. We have considered the curvature tensor field $\ R_{jkh}^i$ in a Finsler space equipped with non symmetric connection and we study the decomposition of such field. In a special Pseudo recurrent Finsler Space, if the arbitrary tensor field $\psi_{j}^i$ is assumed to be a covariant constant then, in view of the decomposition rule, $\phi_{kh}$ behaves as a recurrent tensor field. In the last, we have considered the decomposition of curvature tensor fields in Kaehlerian recurrent spaces and have obtained several related theorems.