Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
1.9
Journals
Axioms
Special Issues
Advances in Mathematical Models and Applications
share announcement

Advances in Mathematical Models and Applications

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

Deadline for manuscript submissions: 30 August 2025 | Viewed by 315

Special Issue Editors

Prof. Dr. Juan Pablo Gutiérrez-Jara

E-Mail Website
Guest Editor
Centro de Investigación de Estudios Avanzados del Maule (CIEAM), Universidad Católica del Maule, Talca 3480112, Chile
Interests: mathematical modeling; mathematical biology; ecoepidemiology
Prof. Dr. Fernando Córdova-Lepe

E-Mail Website
Guest Editor
Facultad de Ciencias Básicas, Universidad Católica del Maule, Avenida San Miguel 3605, Talca 3480112, Chile
Interests: mathematical modeling; mathematical ecology; mathematical epidemiology

Special Issue Information

Dear Colleagues,

Mathematical models, in their strategic, tactical, and operational versions (increasing the order of resolution with reality and specialization, i.e., from the general to the particular), are useful tools for understanding the dynamic evolution of very diverse phenomena. Understanding can range from the theoretical reproduction of a phenomenon's behavior patterns to the ability to anticipate its future states through prediction.

Given the technical or economic impossibility of experimentation and the nonexistent or poor information on this topic, the applicability of the design and analysis of models can act as a testing method that strengthens or weakens a scientific hypothesis, which is a widely proven strategy and is well established among a certain profile of researchers. Thus, mathematical modeling is a guide to understanding complex situations in real life. The scientific community increasingly applies such models.

This Special Issue focuses on mathematical models as useful tools that can answer research questions on problems related to natural biological systems or associated with human presence, e.g., anthropogenic exploitation, disturbance, or contamination. In this sense, there is room for the modeling of real-life phenomena that are of interest to a wide range of disciplines, such as public health, immunology, epidemiology, ecology, agronomy, fisheries or forestry, to name a few.

Concerning the mathematical objects that allow modeling, this Special Issue is open to the full range of possibilities that mathematics offers through the diversity of existing evolution equations. If the article has a mathematical model or has established one, the broad and complementary use of statistical or computational tools is not restricted.

We particularly welcome the submission of articles that describe a multidisciplinary or interdisciplinary approach to a problem, encourage the inclusion of disciplines other than mathematics, and offer pertinent and current research. This Special Issue seeks to complement the existing literature by creating, analyzing, and interpreting mathematical models with clear potential for applicability.

Prof. Dr. Juan Pablo Gutiérrez-Jara
Prof. Dr. Fernando Córdova-Lepe
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

  • mathematical modeling
  • applied mathematics
  • epidemiological mathematical models
  • ecological mathematical models
  • mathematical models in agronomy
  • mathematical models in forestry
  • dynamical system

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

25 pages, 2636 KiB  
Article
A Novel Algorithm for a Low-Cost, Curvature-Continuous Smooth Path with Multiple Constraints on a Cost-Assigned Flat Map
by Xu Du and Lu Yang
Axioms 2025, 14(6), 394; https://doi.org/10.3390/axioms14060394 - 22 May 2025
Abstract
Mobile robots are extensively utilized across various fields, with path planning consistently representing a core and pivotal area of research. Path planning is essential for enabling the efficient navigation of robots within complex environments. In reality, the terrain on which the robot operates [...] Read more.
Mobile robots are extensively utilized across various fields, with path planning consistently representing a core and pivotal area of research. Path planning is essential for enabling the efficient navigation of robots within complex environments. In reality, the terrain on which the robot operates is non-uniform, resulting in varying costs associated with different areas due to differing terrains and materials. Practical tasks often necessitate traversing a series of landmark points to fulfill specific requirements. Furthermore, considerations related to control and dynamics frequently require setting minimum line segment lengths between curves and maximum curve curvatures to ensure the successful execution of the path. The objective of this paper is to find a low-cost path with continuous curvature on a map with an assigned cost, which passes through all the given landmark points while avoiding obstacles, and satisfies the minimum length of the line segments between the curves and the maximum curvature constraints of the curves. We propose an innovative path planning method that solves the limitations of traditional algorithms by considering map cost, curvature continuity, and other factors by establishing a collaborative mechanism between global coarse search and local fine-tuning. The method is divided into two stages: In the first stage, the graph structure is constructed by generating points on the map, and uses Dijkstra’s Algorithm to obtain the connection order of the landmark points. In the second stage, which builds on the previous stage and processes landmark points sequentially, the key points of the path are generated using our proposed Smooth Beacon Reconnection (SBR) algorithm. A low-cost path meeting the requirements is then obtained through fine-tuning. The smooth path generated by this method is verified on multiple maps and demonstrates superior performance compared to traditional methods. Full article
(This article belongs to the Special Issue Advances in Mathematical Models and Applications)
►▼ Show Figures

Figure 1

15 pages, 624 KiB  
Article
Two Populations but a One-Mitigation Policy: A β(·)-SIR Approach
by Fernando Córdova-Lepe, Juan Pablo Gutiérrez-Jara, Karina Vilches-Ponce and Rafael Lozada-Yavina
Axioms 2025, 14(4), 259; https://doi.org/10.3390/axioms14040259 - 28 Mar 2025
Viewed by 180
Abstract
In the case of a high-risk infectious disease affecting two distinct (without demographic interactions) human populations, e.g., differentiated by their settlement areas, we assume the implementation of a health non-pharmaceutical mitigation policy. However, this policy is based solely on indicators from one of [...] Read more.
In the case of a high-risk infectious disease affecting two distinct (without demographic interactions) human populations, e.g., differentiated by their settlement areas, we assume the implementation of a health non-pharmaceutical mitigation policy. However, this policy is based solely on indicators from one of the populations. Using a mathematical model that integrates β(·)-SIR representations—where β(·) is a variable specific to each population and is governed by a dynamic law (a differential equation coupled to state variables)—the dynamic consequences of the epidemiological processes in both populations are explored and compared analytically and numerically. Mainly, it studies the role of the so-called reaction (intensity of the mitigation) and restitution factor (human compliance). Full article
(This article belongs to the Special Issue Advances in Mathematical Models and Applications)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop