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750 articles for “Mathematical”
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A Mathematical Model for the Prediction of Microbial Decay and Kinetics
Abstract: The application of mathematical model for the prediction of kinetics of microbial decay was developed and simulated with variation in time. The result obtained demonstrates increase in the microbial decline in concentration revealing high depletion in substrate concentration as well as the available nutrient in the system. The functional parameters of the kinetic used in the monitoring, predicting and simulating the microbial characteristics in terms of decay rate is within …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 12, Issue 3, 2021 Read article
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Complex Dynamical Systems and Mathematical Modelling
Abstract: So-called “Complex Dynamical Systems” (that is, systems displaying complex behavior) do appear in condensed matter physics and chemistry, as well as, playing a fundamental role, in biological systems. They require a theoretical treatment in terms of “Mathematical Modelling”, with statistical formalisms being of large relevance. We present here a feature-like article describing and discussing the question. It has emphasized the difficult question of presence of hidden constraints, and the introduction …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 1, 2019 · pp. 73–82 Read article
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Mathematical Analysis of prey-predator model
Abstract: In this paper we considered a model with a prey and predator involve holling type -II functional response. The predator species is not only dependent on prey species but also have alternative food source. The mathematical model is characterized by the couple of differential equations. The model is well posed and possess positive solutions. The system is bounded and shows the property of permeance. The possible equilibrium points are identified. …
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 3, 2023 · pp. 1–10 Read article
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Analysis and Application of Mathematical Modeling in Malaria Disease Control
Abstract: In this paper, we develop a mathematical model to analyze malaria transmission dynamics, as malaria is an infectious disease caused by the spread of progenitor parasites to humans through the bite of the female Anopheles mosquito. Mathematical models have long served as a framework for understanding and managing the impact of malaria, which has affected populations for over a century. Our model incorporates infected individuals who may recover and later …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 2, 2025 · pp. 19–25 Read article
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Mathematical Modeling of the Flexural Strength, Impact Energy and Water Absorption of a Pineapple Fibre-HDPE Composite using RSM Technique
Abstract: AbstractA pineapple fibre reinforced HDPE composite was developed. Response surface methodology (RSM) experimental design was employed using the latest Design Expert 10.0 software and the sample composites were produced by compounding using two-roll mill and subsequent thermoformimg in a hot pressing machine. Mathematical models of the flexural strength, impact energy and water absorption were developed and statistically validated. The model for the flexural strength fitted best with quadratic model while …
Published in Journal of Polymer & Composites · Vol. 5, Issue 2, 2017 · pp. 42–49 Read article
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A Review of Discrete Mathematics Based on Different Researches
Abstract: AbstractThis paper describes an extensive specimen of distributions on the educating of discrete structures and discrete mathematics in software engineering educational module. The approach is deliberate, in that an organized inquiry of electronic assets has been directed, and the outcomes are displayed and quantitatively dissected. Various wide subjects in discrete structures training are recognized identifying with course content, showing procedures and the methods for assessing the accomplishment of a course.Keywords: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 1, 2017 · pp. 18–24 Read article
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Prevention of Spreading COVID-19 by Using a Mathematical Expression and controlling suggestion A Review
Abstract: COVID-19 that is a strain of coronavirus first broke out in Wuhan, China in December 2019 and has since spreading in various countries.we observed that it is very tough time for everyone.COVID-19 is an infectious disease which is caused by a newly discovered coronavirus.It affects the people through different ways.COVID-19 is very risky for older age people and for pre-existing medical condition peoples. This review paper is prepared for the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 2, 2020 · pp. 6–9 Read article
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A Review on Mathematical Modeling and Experimental Investigation of Heat Pipe Evacuated Tube Solar Collector
Abstract: This paper presents the literature survey of mathematical modeling and experimental investigation of heat pipe evacuated tube solar collectors. Heat pipe evacuated tube solar collectors are used for industrial applications where temperature requirement is higher, i.e. more than 100°C. Heat pipe evacuated tube solar collectors are having better performance compared to flat plate solar collectors and simple evacuate tube solar collectors. The performance of the heat pipe evacuated tube solar …
Published in Journal of Thermal Engineering and Applications · Vol. 3, Issue 2, 2016 · pp. 1–8 Read article
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A Review Paper on The Mathematical Foundations of Artificial Intelligence
Abstract: Artificial Intelligence (AI) is deeply rooted in various branches of mathematics, which provide the theoretical foundation and practical tools for developing intelligent systems. This paper explores the crucial role of mathematics in AI, focusing on key areas such as Linear Algebra, Probability and Statistics, Optimization Techniques, Calculus, Graph Theory, and Fourier and Wavelet Transforms. Linear Algebra is fundamental for representing and manipulating data, with applications in dimensionality reduction and neural …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 7–14 Read article
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Mathematical Modelling of Semiconductor Device Physics: An Analytical Approach
Abstract: Semiconductor device physics forms the foundation of modern electronic and optoelectronic technologies. Mathematical modelling provides a rigorous framework for understanding, predicting, and optimizing the behavior of semiconductor devices by linking physical principles with device-level performance. This work presents an analytical approach to the mathematical modelling of semiconductor devices, emphasizing the derivation and interpretation of governing equations that describe charge transport and electrostatic behavior. The model is based on fundamental physical …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 1, 2026 · pp. 36–42 Read article
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Evaluating AI-Driven Adaptive Learning Models in Mathematics: A Contemporary Perspective
Abstract: Artificial Intelligence (AI) continues to transform mathematics education through data-driven personalization and adaptive learning technologies. This study investigates how AI-enabled adaptive platforms influence student performance and engagement in mathematics classrooms. Using a quantitative approach across two institutions, pre- and post-assessment results were compared between students using AI-assisted adaptive learning tools and those receiving conventional instruction. The findings reveal that AI-driven learners demonstrated significantly higher gains in conceptual understanding and engagement …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 8–12 Read article
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Design, Mathematical Modeling, and Dynamic Optimization of a Speed Breaker-Based Vehicular Kinetic Energy Harvester
Abstract: Decentralized energy harvesting methods are becoming more popular due to rapid urbanization and the rising need for sustainable infrastructure. The road-embedded vehicle kinetic energy harvester (VKEH) design, mathematical modelling, and experimental validation are presented in this work. This paper presents the structural engineering, continuum mathematical modeling, and experimental validation of an optimized road-embedded vehicular kinetic energy harvester (VKEH). The mechanism utilizes a spring- loaded, low-friction rack-and-pinion transmission coupled with a …
Published in International Journal of Electrical Power and Machine Systems · Vol. 4, Issue 2, 2026 Read article
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Mathematical Model and Analysis of Dual Axis Solar Tracking Mechanism
Abstract: AbstractThe recent years have seen solar energy as one of the most potential candidate for electric power generation. However, the low output conversion efficiency still remains the matter for concern. The maximum power energy output relies on myriad environmental factors. This paper investigates the role of radiation intensity and panel position for better output efficiency and proposes an efficient dual axis solar tracking mathematical modelling that tracks the sun irrespective …
Published in Journal of Alternate Energy Sources & Technologies · Vol. 9, Issue 1, 2018 · pp. 1–6 Read article
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Mathematical Analysis and Stability Analysis of Coupled Orbital–Attitude Dynamics for Autonomous Spacecraft under Perturbative Forces
Abstract: Autonomous spacecraft operating in Earth orbit are subjected to coupled translational and rotational dynamics influenced by gravitational and environmental perturbations. Accurate mathematical characterization of these interactions is essential for trajectory prediction, attitude stabilization, autonomous navigation, and mission reliability. This study develops a nonlinear mathematical framework for coupled orbital–attitude dynamics of an autonomous spacecraft under perturbative forces. The translational dynamics are formulated using the two-body gravitational model augmented by the second …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 15, Issue 2, 2026 Read article
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Mathematical Modeling of Epidemics Using Stochastic Differential Equations: A Review
Abstract: The accurate modeling of infectious disease dynamics is crucial for predicting outbreaks and informing public health interventions. While deterministic models such as the SIR (Susceptible-Infected-Recovered) framework have traditionally been used to understand disease transmission, they often fail to account for the randomness inherent in real-world scenarios. Disease spread is influenced by numerous uncertain factors, including individual behavioral changes, environmental fluctuations, and imperfect data reporting. These uncertainties can significantly impact model …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 1–6 Read article
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The Evolution and Impact of Numbers: From Ancient Tallies to Quantum Computing: Review Article on Numbers
Abstract: Numbers are among the most fundamental constructs in human civilization, serving as the backbone of mathematics, science, technology, and virtually every aspect of daily life. They represent not only quantities and measures but also relationships, structures, and patterns that underpin the fabric of human understanding. From the earliest tallies etched on bones by prehistoric humans to the sophisticated numerical systems embedded in today’s artificial intelligence and quantum computing, the evolution …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 15–19 Read article
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Mathematical Modeling of Tumor Growth and Immune System Interaction Incorporating Time Delays and Suppression Effects for Tumor Control
Abstract: Cancer growth is a complex biological process influenced by various factors, including the dynamic interaction between tumor cells and the host immune system. Mathematical modeling serves as a powerful tool to understand these interactions and predict the outcomes of different therapeutic strategies. This study presents a mathematical framework that captures the essential dynamics of tumor-immune interactions, specifically incorporating the effects of time delay and immune suppression mechanisms. Time delay accounts …
Published in Research and Reviews : A Journal of Immunology · Vol. 15, Issue 3, 2025 · pp. 25–34 Read article
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Symmetry Breaking in Mathematical Models: Bifurcation, Chaos, and Pattern Formation
Abstract: Symmetry breaking serves as a central organizing principle in the understanding of nonlinear systems across physics, biology, chemistry, and engineering. When a system transitions from a symmetric state to an asymmetric configuration, it often signals the onset of new structures, dynamic behaviors, or even chaotic regimes. This review explores symmetry breaking from the theoretical and mathematical perspectives of bifurcation theory, chaos theory, and pattern formation. We discuss how small parameter …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 2, 2025 · pp. 25–30 Read article
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Real-Time Edge Detection Camera Module Using Discrete Taylor Transform and Heat Equation (PDE): An Applied Mathematical Approach
Abstract: In modern digital signal processing, the capability for denoising and smoothing in real time is very important in scientific, engineering, and industrial applications. This paper presents an efficient hybrid framework that merges two mathematically sound methods, namely, DTT and PDE defined as the Heat Equation, to robustly denoise a signal with minimal distortion. The model addresses one of the most challenging tasks in signal restoration, which maintains the fidelity of …
Published in Current Trends in Signal Processing · Vol. 16, Issue 2, 2026 · pp. 9–14 Read article
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A Hybrid Mathematical Model for Epidemic Outbreak Forecasting Using Machine Learning and Cloud Computing
Abstract: The increasing frequency of infectious disease outbreaks has emphasized the necessity for intelligent epidemic surveillance systems capable of predicting disease spread at an early stage. Conventional outbreak detection approaches rely heavily on delayed statistical reporting and manual monitoring techniques, resulting in reduced responsiveness during critical periods. This paper presents a mathematical predictive framework for epidemic outbreak detection using machine learning and cloud computing technologies. The proposed framework integrates the Susceptible–Infected–Recovered …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 01–06 Read article