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AppliedMath, Volume 6, Issue 10

2026 October - 18 articles

Cover Story: We develop an analytical description of the quantum motion of a suspended carbon nanotube driven by an atomic force microscope. Our approach allows us to calculate the Wigner function at finite times, showing how the applied force moves the quantum state and how environmental fluctuations alter its structure. In particular, we examine the gradual loss of interference patterns and regions where the Wigner function becomes negative. The calculations account for effects that depend on the system's past, as well as fluctuations that remain at zero temperature. These results may help interpret future experiments on quantum motion in carbon nanotubes. View this paper
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Articles (18)

  • Article
  • Open Access
170 Views
39 Pages

Water allocation in lossy canal trees must respect local capacities and a service guarantee. We develop a deterministic three-stage lexicographic model for a rooted, fixed-route tree: Stage 1 maximizes the minimum service ratio, Stage 2 maximizes wei...

  • Article
  • Open Access
244 Views
33 Pages

Off-site construction (OSC) projects face persistent challenges in balancing design performance, cost efficiency, and stakeholder priorities due to fragmented workflows between generative design (GD) and building information modelling (BIM). Although...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
176 Views
27 Pages

Sickle cell disease is associated with abnormal erythrocyte deformation and altered blood rheology, which may increase resistance to blood flow and contribute to impaired tissue perfusion. The presence of arterial stenosis can further modify the haem...

  • Feature Paper
  • Article
  • Open Access
208 Views
32 Pages

Suspended carbon nanotubes provide a useful platform for studying controlled nanomechanical motion in regimes where environmental fluctuations, memory effects, and quantum coherence can all influence the dynamics. We model the fundamental flexural mo...

  • Article
  • Open Access
196 Views
14 Pages

We introduce a new class of three-dimensional (3D) fractional-order Zernike moments by extending the radial component of classical 3D Zernike polynomials to admit fractional exponents. We derive explicit formulas for the fractional radial coefficient...

  • Article
  • Open Access
150 Views
38 Pages

We study threshold traveling waves in a one-dimensional Grindrod individual-clustering model with strong-Allee growth and an elliptically regularized directed velocity. The waves connect the stable positive equilibrium to the unstable Allee threshold...

  • Article
  • Open Access
168 Views
23 Pages

This study revisits the integrated vendor–buyer inventory model with backordering analyzed by Chung and clarifies its relationship to the finite-horizon cost-comparison method of Minner. We show that the perturbation arguments used for the cont...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
209 Views
27 Pages

Classical formulas for second-order constant-coefficient ODEs split the solution into distinct-root, repeated-root, and resonant cases; near the transition points, otherwise correct formulas may suffer cancellation or small-denominator loss. We deriv...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Review
  • Open Access
288 Views
30 Pages

Artificial intelligence is rapidly transforming modern medicine, providing powerful tools to assist clinicians. However, the most accurate models are opaque, and their limited interpretability hinders clinical adoption and raises regulatory concerns....

(This article belongs to the Topic Mathematical Applications and Computational Intelligence in Medicine and Biology)
  • Article
  • Open Access
179 Views
20 Pages

Ordered categorical sequence analysis is distributed across specialist methods and software, making preparation decisions, method settings, diagnostics, and provenance difficult to inspect consistently across an end-to-end workflow. This paper presen...

  • Article
  • Open Access
247 Views
19 Pages

Transport planning requires an accurate estimate of household trip rates to evaluate transportation needs. However, it has been believed that high accuracy is associated with large sample sizes, which hinders low-population local government units fro...

  • Article
  • Open Access
211 Views
15 Pages

Electrochemical impedance spectroscopy is widely used for lithium-ion battery development, diagnostics, performance evaluation, and state-of-health and state-of-charge estimation. However, the characterization of equivalent circuit models from experi...

(This article belongs to the Special Issue Applied Mathematical Modelling in Mechanical Design and Analysis)
  • Feature Paper
  • Article
  • Open Access
179 Views
25 Pages

We introduce and analyze a two-step inertial viscosity-type algorithm for approximating a common solution of a generalized mixed equilibrium problem and the fixed-point problems associated with a family of quasi-nonexpansive mappings in a real Hilber...

  • Article
  • Open Access
177 Views
12 Pages

This paper studies a nonnegative square-root diffusion subject to finite-activity multiplicative jumps whose multipliers follow a Gamma distribution. The analysis develops the mathematical foundation that is needed before moment calculations can be u...

(This article belongs to the Section Probabilistic & Statistical Mathematics)
  • Article
  • Open Access
166 Views
48 Pages

A Predictive Multiscale Model of the Malaria Disease System at the Macrocommunity Level of Organization

  • Blessings Mufoya,
  • Winston Garira,
  • Dephney Mathebula and
  • Dimpho Mothibi

The ability to develop mathematical models of infectious disease systems that integrate the dynamics of infectious disease processes at multiple scales is essential in furthering our understanding of infectious disease control, elimination, and even...

  • Article
  • Open Access
259 Views
14 Pages

Induced matchings are a fundamental graph-theoretic concept with applications in secure communication, network flow, and very-large-scale integration. An induced matching in a graph is a set of pairwise non-adjacent edges such that no edge of the gra...

  • Article
  • Open Access
267 Views
16 Pages

A Frobenius-Norm Approach to Block Matrices and Singular Value Estimates

  • Ksenija Doroslovački,
  • Dragana Cvetković and
  • Irena Prodanović

We introduce a Frobenius-norm-based class of block matrices in which the interaction between diagonal and off-diagonal blocks is measured directly through the preconditioned blocks Aii−1Aij. The resulting B-SDDFπ class provides a directly co...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
328 Views
20 Pages

24 September 2026

This paper presents an analytical and control model for a fractional-order delayed predator–prey system with a Holling Type-III functional response. In the model, Caputo fractional derivatives capture long-term memory and hereditary effects in...

(This article belongs to the Section Deterministic Mathematics)
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AppliedMath - ISSN 2673-9909