Symmetry/Asymmetry of Differential Equations in Biomathematics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 1160

Special Issue Editors


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Guest Editor
College of Science, Northwest A&F University, Yangling 712100, China
Interests: differential equations; biomathematics

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Guest Editor
School of Science, Xi'an Polytechnic University, Xi'an 710048, China
Interests: biomathematics; differential equations and applications

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Guest Editor
School of Science, Chang'an University, Xi'an 710064, China
Interests: theoretical research and application of ordinary differential equations; mathematical modeling and research of biomathematics; population dynamics and infectious disease dynamics

Special Issue Information

Dear Colleagues,

It is well known that differential equations are powerful tools for the study of biomathematics, and symmetry/asymmetry is a common phenomenon in the real world. The study of the symmetry/asymmetry of differential equations in biomathematics is of great significance in revealing the interaction or motion changes among organisms.

This Special Issue focuses on recent advancements and applications of differential equations in biomathematics, emphasizing the role of symmetry and asymmetry in biological systems. Topics include the development and analysis of mathematical models in biology, novel computational methods for solving differential equations, and the investigation of complex biological systems through the lens of symmetry and asymmetry. We invite original research articles, reviews, and methodological contributions that provide new insights into the interplay between symmetry, asymmetry, and differential equations in the context of biomathematics. Contributions should address the challenges and opportunities in understanding the underlying mechanisms governing various biological phenomena, as well as the development of innovative mathematical techniques and computational tools to analyze and predict the behavior of biological systems.

This Special Issue aims to foster interdisciplinary collaboration between mathematicians, biologists, and computational scientists, promoting the exchange of ideas and the advancement of biomathematics as a field. We encourage submissions that explore the application of differential equations to a wide range of biological disciplines, such as ecology, epidemiology, genetics, neuroscience, and physiology, and that demonstrate the potential of biomathematical approaches to contribute to the resolution of pressing issues in life sciences.

Dr. Liang Zhang
Prof. Dr. Junli Liu
Prof. Dr. Tailei Zhang
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. Symmetry 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

  • differential equations
  • dynamical systems
  • symmetry/asymmetry
  • population model
  • epidemic model
  • dynamical behavior
  • simulation

Published Papers (1 paper)

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Research

16 pages, 864 KiB  
Article
Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate
by Xinghao Wang, Liang Zhang and Xiao-Bing Zhang
Symmetry 2024, 16(4), 467; https://doi.org/10.3390/sym16040467 - 11 Apr 2024
Viewed by 373
Abstract
This paper delves into the analysis of a stochastic epidemic model known as the susceptible–vaccinated–exposed–infectious–recovered (SVEIR) model, where transmission dynamics are governed by a nonlinear function. In the theoretical analysis section, by suitable stochastic Lyapunov functions, we establish that when the threshold value, [...] Read more.
This paper delves into the analysis of a stochastic epidemic model known as the susceptible–vaccinated–exposed–infectious–recovered (SVEIR) model, where transmission dynamics are governed by a nonlinear function. In the theoretical analysis section, by suitable stochastic Lyapunov functions, we establish that when the threshold value, denoted as R0s, falls below 1, the epidemic is destined for extinction. Conversely, if the reproduction number R0 of the deterministic model surpasses 1, the model manifests an ergodic endemic stationary distribution. In the numerical simulations and data interpretation section, leveraging a graphical analysis with COVID-19 data, we illustrate that random fluctuations possess the capacity to quell disease outbreaks, underscoring the role of vaccines in curtailing the spread of diseases. This study not only contributes to the understanding of epidemic dynamics but also highlights the pivotal role of stochasticity and vaccination strategies in epidemic control and management. The inherent balance and patterns observed in epidemic spread and control strategies, reflect a symmetrical interplay between stochasticity, vaccination, and disease dynamics. Full article
(This article belongs to the Special Issue Symmetry/Asymmetry of Differential Equations in Biomathematics)
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