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113 articles for “Mathematical models”
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Review ArticleOpen accessIn the abstractA Comprehensive Review of Post-Quantum Cryptography AlgorithmsSamandeep Kaur, Jaswinder SinghThe development of quantum computing has been rapid, and an existential threat to computational hardness assumptions that underlie today's public-key cryptography has been encountered. This manuscript is a complete and thoroughly organized review of Post-Quantum Cryptography (PQC), discussing the mathematical concepts, complexity, and mechanisms of the algorithms that underpin quantum-safe security infrastructures. Rather than the principles of quantum mechanics, the … …Journal of Computer Science, Vol. 22, Issue 9 · 25 Sep 2026 · 723 accessesView PDFCite
Research ArticleOpen accessIn the abstractStochastic and Deterministic Mathematical Modeling and Simulation to Evaluate the Novel COVID-19 Pandemic Control MeasuresEva Gupta, Nand Jee Kanu, Amartya Munot et al.Background: In India, the novel Coronavirus Disease (COVID-19) epidemic has grown to 17,00000 cases and around 38,000 deaths up to 30th July, 2020. The impacts of the Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) pandemic in India were studied using modified age-structured stochastic and deterministic mathematical models. Methods: A compartmental susceptible (S)-infected (symptomatic) (IS) infected (asymptomatic) (IN) recovered (R) i.e., … …American Journal of Infectious Diseases, Vol. 16, Issue 4 · 20 Nov 2020 · 8,456 accessesView PDFCite
Research ArticleOpen accessIn the abstractDrawdown and Drawup of Bi-Directional Grid Constrained Stochastic ProcessesAldo Taranto, Shahjahan KhanThe Grid Trading Problem (GTP) of mathematical finance, used in portfolio loss minimization, generalized dynamic hedging and algorithmic trading, is researched by examining the impact of the drawdown and drawup of discrete random walks and of Itô diffusions on the Bi-Directional Grid Constrained (BGC) stochastic process for profit Pt and equity Et over time. A comprehensive Discrete Difference Equation (DDE) … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 Sep 2020 · 9,153 accessesView PDFCite
Review ArticleOpen accessIn the abstractAn Insight into the Simplified RP Transmission Network, Concise Baseline and SIR Models for Simulating the Transmissibility of the Novel Coronavirus Disease 2019 (COVID-19) OutbreakEva Gupta, Nand Jee KanuThe World Health Organization has reported about a Severe Acute Respiratory Syndrome, Coronavirus 2 (SARS-CoV2) (a virus of Wuhan, China pneumonia). The present investigation explores the transmissibility of the novel Coronavirus Disease (COVID-19) using some suitable mathematical models such as (a) a simplified Bats-Hosts-Reservoir (Wuhan Seafood Market)-People (BHRP) transmission network model useful in mapping the spread of the novel COVID-19 … …American Journal of Infectious Diseases, Vol. 16, Issue 2 · 1 Jul 2020 · 7,586 accessesView PDFCite
Research ArticleOpen accessIn the abstractConstructing Gibbs Measure in a Rigorous WayFarida Kachapova, Ilias KachapovEquilibrium statistical mechanics studies mathematical models for physical systems with many particles interacting with an external force and with one another. In this paper we describe an interaction model that generalizes several of these models in one model. An infinite model is constructed as the limiting case of finite interaction models, that is as a thermodynamic limit. The key point … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Oct 2019 · 6,591 accessesView PDFCite
Research ArticleOpen accessIn the abstractDeveloping the Concept of Methodological Support for Designing and Assessing the Efficiency of Information Protection Systems of Standard Information Systems Considering Their VulnerabilitiesIslam Alexandrovich Alexandrov, Andrey Victorovich Kirichek, Vladimir Zhanovich Kuklin et al.The Information Protection System (IPS) is an integral part of any Information System (IS). To develop an optimal IPS model at the earliest stages of the IS lifecycle, it is necessary to develop IS resource and threat models. This study is devoted to developing a specific model of IS resources, allowing a detailed description of the relationship between resources and … …Journal of Computer Science, Vol. 19, Issue 11 · 19 Sep 2023 · 5,307 accessesView PDFCite
Research ArticleOpen accessIn the abstractEscalating SVM-Efficiency by Sequential QP LP and Slack Variable AnalysisAmit Kumar Kundu, Rezaul Karim, Ali Ahmed AveSupport Vector Machine (SVM) is a highly attractive algorithm among many machine learning models due to its generalization power and classification performance based on sound mathematical formulation being convex that offers global minimum. However, despite being sparse, its high classification cost from kernel execution with Support Vectors (SVs) reduces the user's interest when there are hard computational constraints in the … …Journal of Computer Science, Vol. 19, Issue 10 · 6 Sep 2023 · 5,913 accessesView PDFCite
Research ArticleOpen accessIn the abstractInteraction Model in Statistical MechanicsFarida Kachapova, Ilias KachapovStatistical mechanics considers several models such as Ising model, Potts model, Heisenberg model etc. A rigorous mathematical approach based on the axiomatic foundation of probability would benefit the study and applications of these models. In this paper we use this approach to generalize some of these models into one construction named an interaction model. We introduce a mathematically rigorous definition … …Journal of Mathematics and Statistics, Vol. 13, Issue 4 · 4 Nov 2017 · 7,054 accessesView PDFCite
Research ArticleOpen accessIn the abstractPerformance Evaluation of Channel Propagation Models and Developed Model for Mobile CommunicationYahia ZakariaPropagation models represent a solidifying of mathematical equations and algorithms that are used for radio signal propagation prediction in specific regions. In this research different propagation models are analyzed and compared. These propagation models have been proposed at the operating frequency of 3.8 GHz for different transmitter antenna heights in all types of terrain. These propagation models depend on location, … …American Journal of Applied Sciences, Vol. 14, Issue 2 · 25 Feb 2017 · 8,409 accessesView PDFCite
Research ArticleOpen accessIn the abstractPredicting the Movement of Dentistry Students using Markov ChainEsmail Hassan Abdullatif Al-SabriDeveloping and increasing the effectiveness of any system (university system) depends on continuous evaluation and improvement using quantitative methods based on quantitative measurement and efficient mathematical models that can predict the future of the system, discover its improvement requirements and increase its effectiveness. This study is an application of the Stochastics Markov Process for students of the College of Dentistry … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 19 Mar 2022 · 5,998 accessesView PDFCite