Nonlinear Analysis and Application

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 338

Special Issue Editor


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Guest Editor
Instituto de Investigaciones en Matemáticas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, Mexico City, Mexico
Interests: differential equations; nonlinear analysis; applied mathematics

Special Issue Information

Dear Colleagues,

This Special Issue presents recent developments in nonlinear analysis emphasizing different methodological tools. Survey papers on each of the following subjects are presented:

  • Topological methods;
  • Bifurcation theory;
  • Geometric approaches;
  • Variational methods;
  • Algebraic techniques;
  • Numerical methods;
  • Applications.

Additionally, contributions featuring specific topics are included.

Nonlinear analysis is a rich and varied subject encompassing many areas, and this Special Issue provides an up-to-date perspective.

Dr. Pablo G. Padilla-Longoria
Guest Editor

Manuscript Submission Information

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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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • topological methods
  • bifurcation theory
  • geometric approaches
  • variational methods
  • algebraic techniques
  • numerical methods
  • applications

Published Papers (1 paper)

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Research

18 pages, 318 KiB  
Article
Dynamics for a Ratio-Dependent Prey–Predator Model with Different Free Boundaries
by Lingyu Liu, Xiaobo Li and Pengcheng Li
Mathematics 2024, 12(12), 1897; https://0-doi-org.brum.beds.ac.uk/10.3390/math12121897 - 19 Jun 2024
Viewed by 187
Abstract
In this paper, we study the dynamics of the ratio-dependent type prey–predator model with different free boundaries. The two free boundaries, determined by prey and predator, respectively, implying that they may intersect with each other as time evolves, are used to describe the [...] Read more.
In this paper, we study the dynamics of the ratio-dependent type prey–predator model with different free boundaries. The two free boundaries, determined by prey and predator, respectively, implying that they may intersect with each other as time evolves, are used to describe the spreading of prey and predator. Our primary focus lies in analyzing the long-term behaviors of both predator and prey. We establish sufficient conditions for the spreading and vanishing of prey and predator. Furthermore, in cases where spread occurs, we offer estimates for the asymptotic spreading speeds of prey and predator, denoted as u and v, respectively, as well as the asymptotic speeds of the free boundaries, denoted by h and g. Our findings reveal that when the predator’s speed is lower than that of the prey, it leads to a reduction in the prey’s asymptotic speed. Full article
(This article belongs to the Special Issue Nonlinear Analysis and Application)
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