Special Issue "Applications of Differential Equations and Dynamical Systems"

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 30 September 2018

Special Issue Editors

Guest Editor
Dr. Heliana Arias-Castro

Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100-00, Cali 760032, Colombia
E-Mail
Interests: epidemic spreading in population networks; complex networks based on ODE systems; optimal control for ODE systems; numerical methods for optimization and optimal control, population and epidemiological modeling, applications of optimization techniques in biology, ecology, and epidemiology
Guest Editor
Dr. Lilian S. Sepúlveda-Salcedo

Departamento de Matemáticas, Universidad Autónoma de Occidente, Calle 25 No. 115-85, Km 2 via Cali-Jamundí, Cali 760031, Colombia
E-Mail
Interests: optimal control and viable control for ODE systems; numerical methods for optimization; controlled ODE systems and viability theory; viable controls for deterministic and stochastic dynamical systems; population and epidemiological modeling, applications of optimization techniques in biology, ecology, and epidemiology
Guest Editor
Dr. Olga Vasilieva

Departamento de Matemáticas, Universidad del Valle, Calle 13 No. 100-00, Cali 760032, Colombia
E-Mail
Interests: optimal control for ODE systems; numerical methods for optimization and optimal control, population and epidemiological modeling, applications of optimization techniques in economics, biology, ecology, and epidemiology; mathematical models and methods for sustainable management of natural resources

Special Issue Information

Dear Colleagues,

Ordinary differential equations and dynamical systems play a fundamental role in mathematical modeling due to their capacity to express the time evolution of various processes and phenomena that arise in the real world. The aim of this Special Issue is to present recent developments in the theory, qualitative analysis, numerical solutions, and applications of ODE systems with particular emphasis on natural and social science applications.

Dr. Heliana Arias-Castro
Dr. Lilian S. Sepúlveda-Salcedo
Dr. Olga Vasilieva
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 papers will be 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 quarterly 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 350 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

  • ordinary differential equations (ODE)
  • linear and nonlinear ODE systems
  • qualitative analysis of ODE systems, including bifurcations, limit cycles, periodic solutions, and chaotic behavior
  • deterministic and stochastic ODE systems
  • numerical methods for solution of ODE systems
  • controlled ODE systems
  • complex networks based on ODE
  • mathematical modeling involving ODE systems in natural and social sciences

Published Papers

This special issue is now open for submission.
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