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Axioms
Special Issues
Advances in Dynamical Systems and Control, 2nd Edition
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Advances in Dynamical Systems and Control, 2nd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 20 December 2025 | Viewed by 686

Special Issue Editors

Prof. Dr. Nohe R. Cazarez-Castro

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Guest Editor
Instituto Tecnológico de Tijuana, Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: mathematical and computational modeling; fuzzy differential equations; fuzzy systems; robotics; nonlinear control; genetic algorithms and applications
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Selene L. Cardenas-Maciel

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Guest Editor
Instituto Tecnológico de Tijuana, Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: mathematical and computational modeling; computational intelligence; fuzzy systems; robotics; nonlinear control; genetic algorithms and applications
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jorge A. Lopez-Renteria

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Guest Editor
Secretaría de Ciencia, Humanidades, Tecnología e Innovación (SECIHTI), Instituto Tecnológico de Tijuana, Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: dynamical systems; fractional order systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue is a continuation of our previous publication, "Advances in Dynamical Systems and Control". This Special Issue aims to compile further innovative research and developments in the areas of dynamical systems and control, both in theoretical and application advances. The study of dynamic systems and control is fundamental to promoting advances in engineering; therefore, submissions are welcome that consider (but are not limited to) the following topics:

  • Chaos and bifurcations;
  • Complex systems;
  • Fractional difference equations;
  • Fractional differential equations;
  • Fuzzy control and fuzzy systems;
  • Linear control systems;
  • Math education in science and engineering;
  • Matrix and spectral analysis;
  • Modeling;
  • Nonlinear control systems;
  • Stability and robust stability;
  • The stability of pseudo-polynomials and quasi-polynomials.

Prof. Dr. Nohe R. Cazarez-Castro
Prof. Dr. Selene L. Cardenas-Maciel
Prof. Dr. Jorge A. Lopez-Renteria
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • bifurcation and chaos
  • complex systems
  • control
  • dynamical systems
  • fractional order systems
  • fuzzy differential equations
  • fuzzy systems
  • mathematical modeling

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Published Papers (1 paper)

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Research

19 pages, 2017 KB  
Article
The Density Function of the Stochastic SIQR Model with a Two-Parameters Mean-Reverting Process
by Huina Zhang, Zhiming Ni, Daqing Jiang and Jianguo Sun
Axioms 2025, 14(10), 732; https://doi.org/10.3390/axioms14100732 - 28 Sep 2025
Viewed by 194
Abstract
This study develops a stochastic SIQR epidemic model with mean-reverting Ornstein–Uhlenbeck (OU) processes for both transmission rate β(t) and quarantine release rate k(t); this is distinct from existing non-white-noise stochastic epidemic models, most of which focus [...] Read more.
This study develops a stochastic SIQR epidemic model with mean-reverting Ornstein–Uhlenbeck (OU) processes for both transmission rate β(t) and quarantine release rate k(t); this is distinct from existing non-white-noise stochastic epidemic models, most of which focus on single-parameter perturbation or only stability analysis. It synchronously embeds OU dynamics into two core epidemic parameters to capture asynchronous fluctuations between infection spread and control measures. It adopts a rare measure solution framework to derive rigorous infection extinction conditions, linking OU’s ergodicity to long-term β+(t) averages. It obtains the explicit probability density function of the four-dimensional SIQR system, filling the gap of lacking quantifiable density dynamics in prior studies. Simulations validate that R0d<1 ensures almost sure extinction, while R0e>1 leads to stable stochastic persistence. Full article
(This article belongs to the Special Issue Advances in Dynamical Systems and Control, 2nd Edition)
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