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Mathematics, Volume 12, Issue 15

August-1 2024 - 135 articles

Cover Story: The time evolution of complex living systems depends on the interactions among the active particles themselves (inner interactions) and between the active particles and the environment (inner–outer interactions). The discrete thermostatted kinetic theory for active particles facilitates the mathematical modeling of systems composed of active particles whose microscopic state includes space, velocity and activity (strategy) variables that can attain discrete values. The interactions are defined by interaction rates and stochastic games. A Gaussian-type thermostat term is introduced for taking into consideration the inner–outer interactions. The paper presents new discrete thermostatted non-homogeneous frameworks, and the role of the stochastic game theory is demonstrated by reviewing a model for vehicular traffic and a model for pedestrian dynamics. View this paper
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Articles (135)

  • Article
  • Open Access
2,500 Views
23 Pages

A Computational Model of the Secondary Hemostasis Pathway in Reaction Systems

  • Asma Bendjeddou,
  • Linda Brodo,
  • Moreno Falaschi and
  • Elisa B. P. Tiezzi

4 August 2024

Reaction Systems (RSs) are a computational framework inspired by biochemical mechanisms. An RS defines a finite set of reactions over a finite set of entities (molecules, proteins, etc). Starting from an initial set of entities (the initial state), a...

  • Article
  • Open Access
1 Citations
1,265 Views
15 Pages

4 August 2024

This study investigates a class of two-dimensional, two-parameter squared discrete dynamical systems. It determines the conditions for local stability at the fixed points for these proposed systems. Theoretical and numerical analyses are conducted to...

  • Article
  • Open Access
10 Citations
1,219 Views
11 Pages

4 August 2024

In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to t...

  • Article
  • Open Access
4 Citations
5,110 Views
23 Pages

Dynamic Optimization of a Supply Chain Operation Model with Multiple Products

  • Carlos E. Lopez-Landeros,
  • Ricardo Valenzuela-Gonzalez and
  • Elias Olivares-Benitez

3 August 2024

Determination of the optimal operational policy for an automotive supply chain is explored under a centralized management approach using dynamic programming. A deterministic optimal control model is proposed to meet multi-product demand over a period...

  • Article
  • Open Access
2,108 Views
13 Pages

3 August 2024

The study presents a comparative analysis of climate data under two scenarios: a Gaussian copula marginal regression model for count time series data and a copula-based bivariate count time series model. These models, built after comprehensive simula...

  • Article
  • Open Access
5 Citations
2,039 Views
23 Pages

3 August 2024

Student performance prediction (SPP) is a pivotal task in educational analytics, enabling proactive interventions and optimized resource allocation by educators. Traditional SPP models are often hindered by their complexity and lack of interpretabili...

  • Article
  • Open Access
2 Citations
1,617 Views
18 Pages

Fuzzy Logic Prediction of Hypertensive Disorders in Pregnancy Using the Takagi–Sugeno and C-Means Algorithms

  • Israel Campero-Jurado,
  • Daniel Robles-Camarillo,
  • Jorge A. Ruiz-Vanoye,
  • Juan M. Xicoténcatl-Pérez,
  • Ocotlán Díaz-Parra,
  • Julio-César Salgado-Ramírez,
  • Francisco Marroquín-Gutiérrez and
  • Julio Cesar Ramos-Fernández

3 August 2024

Hypertensive disorders in pregnancy, which include preeclampsia, eclampsia, and chronic hypertension, complicate approximately 10% of all pregnancies in the world, constituting one of the most serious causes of mortality and morbidity in gestation. T...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,609 Views
35 Pages

3 August 2024

A new numerical method for solving Volterra linear convolution integral equations (CVIEs) of the second kind is presented in this work. This new approach uses first-order infinite impulse response digital filters method (IIRFM). Three convolutive ker...

  • Article
  • Open Access
1 Citations
1,711 Views
25 Pages

A Self-Training-Based System for Die Defect Classification

  • Ping-Hung Wu,
  • Siou-Zih Lin,
  • Yuan-Teng Chang,
  • Yu-Wei Lai and
  • Ssu-Han Chen

2 August 2024

With increasing wafer sizes and diversifying die patterns, automated optical inspection (AOI) is progressively replacing traditional visual inspection (VI) for wafer defect detection. Yet, the defect classification efficacy of current AOI systems in...

  • Article
  • Open Access
2 Citations
2,177 Views
25 Pages

The Normalized Direct Trigonometry Model for the Two-Dimensional Irregular Strip Packing Problem

  • Germán Pantoja-Benavides,
  • David Álvarez-Martínez and
  • Francisco Parreño Torres

2 August 2024

Background: The Irregular Strip Packing Problem (ISPP) involves packing a set of irregularly shaped items within a strip while minimizing its length. Methods: This study introduces the Normalized Direct Trigonometry Model (NDTM), an innovative enhanc...

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Mathematics - ISSN 2227-7390