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Mathematics, Volume 13, Issue 21

November-1 2025 - 214 articles

Cover Story: We introduce the Spatial Regime Conversion Method (SRCM), a novel hybrid framework for simulating reaction–diffusion systems that adaptively switches between stochastic and deterministic representations based on local concentrations. By combining discrete reaction-diffusion master equation dynamics with continuum partial differential equations, the SRCM avoids fixed spatial interfaces and captures essential stochastic features where needed, while maintaining computational efficiency. Validated across multiple test cases—including diffusion, morphogen gradient formation, and travelling waves—the SRCM offers a powerful and flexible tool for modelling spatially heterogeneous systems. View this paper
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Articles (214)

  • Article
  • Open Access
318 Views
17 Pages

4 November 2025

Coal block image segmentation is of great significance for obtaining the particle size distribution and specific gravity information of ores. However, the existing methods are limited by harsh environments, such as dust, complex shapes, and the uneve...

  • Article
  • Open Access
251 Views
15 Pages

4 November 2025

In this paper, we study a cognitive relay Internet of Things (IoT) network aided by an unmanned aerial vehicle (UAV) equipped with multiple antennas. The UAV performs relaying for secondary communication under stringent interference constraints impos...

  • Article
  • Open Access
304 Views
33 Pages

4 November 2025

Hedge algebra is a powerful and flexible tool for handling linguistic information, enabling precise quantitative computations and enhancing the effectiveness of multi-criteria decision-making (MCDM). This study proposes a novel integrated fuzzy MCDM...

  • Article
  • Open Access
569 Views
17 Pages

Mono-ViM: A Self-Supervised Mamba Framework for Monocular Depth Estimation in Endoscopic Scenes

  • Shengli Chen,
  • Yuming Chen,
  • Xiaoang Xu,
  • Jiahao Li,
  • Ke Ye and
  • Tianzuo Chang

4 November 2025

Self-supervised depth estimation methods enable the recovery of scene depth information from monocular endoscopic images, thereby assisting endoscopic navigation. However, existing monocular endoscopic depth estimation methods generally fail to captu...

  • Article
  • Open Access
344 Views
9 Pages

Diffusion in Heterogeneous Media with Stochastic Resetting and Pauses

  • Ervin K. Lenzi,
  • Luciano R. da Silva and
  • Marcelo K. Lenzi

4 November 2025

Diffusion in heterogeneous environments is usually governed by unusual dynamics, exhibiting sub- or superdiffusive scaling depending on the structural complexity and memory effects. In many systems, diffusing particles may alternate between periods o...

  • Article
  • Open Access
627 Views
24 Pages

Fuzzy MCDM Methodology Application in Analysis of Annual Operational Efficiency in Passenger and Freight Air Transport

  • Nikola Petrović,
  • Dragan Marinković,
  • Nikola Komatina,
  • Marija Runić-Ristić,
  • Tahir Masood Qureshi and
  • Aleksandar Aleksić

4 November 2025

The airline industry plays a vital role in global mobility and international trade, which makes the evaluation of its operational efficiency an important strategic task. This study evaluates and ranks the operational performance of passenger and frei...

  • Article
  • Open Access
511 Views
19 Pages

4 November 2025

As technical discussions surrounding next-generation 6G networks are gaining momentum, dynamic and flexible network operation and management technologies remain essential for supporting services with diverse requirements. Specifically, the emergence...

  • Feature Paper
  • Article
  • Open Access
419 Views
15 Pages

4 November 2025

Recent developments of Normalized Compressed Distance (NCD) matrices show potential to become a widely used method to develop phylogenetic trees among a group of organisms. However, such NCD matrices lack the biological and evolutionary context that...

  • Article
  • Open Access
547 Views
25 Pages

4 November 2025

To address the key challenges in shortest path planning for known static obstacle maps—such as the tendency to converge to local optima in U-shaped/narrow obstacle regions, unbalanced computational efficiency, and suboptimal path quality—...

  • Article
  • Open Access
306 Views
23 Pages

4 November 2025

This paper investigates a new class of two-dimensional fuzzy difference equations that integrate logarithmic nonlinearities with interaction effects between system variables. Motivated by the need to model complex dynamical systems influenced by unce...

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Mathematics - ISSN 2227-7390