Modelling and Numerical Simulations with Differential Equations in Mathematical Biology, Medicine and the Environment: Volume II

  • 1,614

    Total downloads

  • 12k

    Total views and downloads

About this Research Topic

Submission closed

Background

In the last few decades, the role of numerical analysis and scientific computing has been increasing rapidly, especially for the solution of real-world problems. Mathematical models of infectious disease transmission are increasingly attracting attention of researchers. The mathematical models usually apply nonlinear systems of ordinary, delay or partial differential equations, and now recently more developments on various mathematical theories on epidemiology have been achieved.

This Research Topic will present recent research results in numerical analysis and scientific computing. Papers on all mathematical background including construction, analysis and performance of novel and/or efficient methods with applications in Mathematical Biology, Medicine, Environment are welcome. The methods can be Finite Difference, Finite Element, Finite Volume, Spectral and Virtual element methods.

The goals of this article collection are:

1. construction of efficient numerical methods to solve linear and non-linear differential equations in mathematical biology, medicine and the environment.
2. construction of efficient numerical methods to solve linear and non-linear fractional and stochastic differential equations in mathematical biology, medicine and the environment.
3. analysis of these numerical methods with regard to stability and dispersion, dissipation properties
4. convergence analysis of these methods.
5. construction of improved models for problems in mathematical biology, medicine and the environment and their numerical solutions and validation.
6. study of existence and uniqueness of solution from the models.

This Research Topic aims to bring academics, engineers, researchers and scientists to share recent ideas, methods, techniques and solutions in mathematical biology, medicine and the environment. The list of potential topics is given below:

1. Numerical solution of system of ordinary differential equations
2. Numerical solution of partial differential equations (advection-diffusion, cross diffusion, dispersive, etc)
3. Numerical solution of fractional and stochastic Differential Equations
4. Numerical solution of integro-differential Equations
5. Numerical solution of delay differential Equations
6. Biological systems
7. Biomedical research
8. Environmental models
9. Pollutant transport models and oil spill modelling
10. Epidemic models
11. Infectious Disease Modelling
12. Dynamical systems
13. Stability analysis
14. Convergence analysis
15. Bifurcation
16. Numerical dispersion and dissipation
17. Optimized numerical methods
18. Pattern formation in various models
19. Mechanics of Fluids
20. Applied, Computational and Mathematical Physics
21. Biomed-Biotech Engineering
22. Computational Thermal Engineering
23. Combustion and Decomposition
24. Materials Sciences
25. Turbulence
26. Magnetohydrodynamics (MHD)
27. Astrophysical plasma
28. Gas Dynamics and theoretical combustion systems

Keywords: differential equations, mathematical biology, numerical methods

Important note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.

Frequently asked questions

  • Frontiers' Research Topics are collaborative hubs built around an emerging theme.Defined, managed, and led by renowned researchers, they bring communities together around a shared area of interest to stimulate collaboration and innovation.

    Unlike section journals, which serve established specialty communities, Research Topics are pioneer hubs, responding to the evolving scientific landscape and catering to new communities.

  • The goal of Frontiers' publishing program is to empower research communities to actively steer the course of scientific publishing. Our program was implemented as a three-part unit with fixed field journals, flexible specialty sections, and dynamically emerging Research Topics, connecting communities of different sizes and maturity.

    Research Topics originate from the scientific community. Many of our Research Topics are suggested by existing editorial board members who have identified critical challenges or areas of interest in their field.

  • As an editor, Research Topics will help you build your journal, as well as your community, around emerging, cutting-edge research. As research trailblazers, Research Topics attract high-quality submissions from leading experts all over the world.

    A thriving Research Topic can potentially evolve into a new specialty section if there is sustained interest and a growing community around it.

  • Each Research Topic must be approved by the specialty chief editor, and it falls under the editorial oversight of our editorial boards, supported by our in-house research integrity team. The same standards and rigorous peer review processes apply to articles published as part of a Research Topic as for any other article we publish.

    In 2023, 80% of the Research Topics we published were edited or co-edited by our editorial board members, who are already familiar with their journal's scope, ethos, and publishing model. All other topics are guest edited by leaders in their field, each vetted and formally approved by the specialty chief editor.

  • Publishing your article within a Research Topic with other related articles increases its discoverability and visibility, which can lead to more views, downloads, and citations. Research Topics grow dynamically as more published articles are added, causing frequent revisiting, and further visibility.

    As Research Topics are multidisciplinary, they are cross-listed in several fields and section journals – increasing your reach even more and giving you the chance to expand your network and collaborate with researchers in different fields, all focusing on expanding knowledge around the same important topic.

    Our larger Research Topics are also converted into ebooks and receive social media promotion from our digital marketing team.

  • Frontiers offers multiple article types, but it will depend on the field and section journals in which the Research Topic will be featured. The available article types for a Research Topic will appear in the drop-down menu during the submission process.

    Check available article types here 

  • Yes, we would love to hear your ideas for a topic. Most of our Research Topics are community-led and suggested by researchers in the field. Our in-house editorial team will contact you to talk about your idea and whether you’d like to edit the topic. If you’re an early-stage researcher, we will offer you the opportunity to coordinate your topic, with the support of a senior researcher as the topic editor. 

    Suggest your topic here 

  • A team of guest editors (called topic editors) lead their Research Topic. This editorial team oversees the entire process, from the initial topic proposal to calls for participation, the peer review, and final publications.

    The team may also include topic coordinators, who help the topic editors send calls for participation, liaise with topic editors on abstracts, and support contributing authors. In some cases, they can also be assigned as reviewers.

  • As a topic editor (TE), you will take the lead on all editorial decisions for the Research Topic, starting with defining its scope. This allows you to curate research around a topic that interests you, bring together different perspectives from leading researchers across different fields and shape the future of your field. 

    You will choose your team of co-editors, curate a list of potential authors, send calls for participation and oversee the peer review process, accepting or recommending rejection for each manuscript submitted.

  • As a topic editor, you're supported at every stage by our in-house team. You will be assigned a single point of contact to help you on both editorial and technical matters. Your topic is managed through our user-friendly online platform, and the peer review process is supported by our industry-first AI review assistant (AIRA).

  • If you’re an early-stage researcher, we will offer you the opportunity to coordinate your topic, with the support of a senior researcher as the topic editor. This provides you with valuable editorial experience, improving your ability to critically evaluate research articles and enhancing your understanding of the quality standards and requirements for scientific publishing, as well as the opportunity to discover new research in your field, and expand your professional network.

  • Yes, certificates can be issued on request. We are happy to provide a certificate for your contribution to editing a successful Research Topic.

  • Research Topics thrive on collaboration and their multi-disciplinary approach around emerging, cutting-edge themes, attract leading researchers from all over the world.

  • As a topic editor, you can set the timeline for your Research Topic, and we will work with you at your pace. Typically, Research Topics are online and open for submissions within a few weeks and remain open for participation for 6 – 12 months. Individual articles within a Research Topic are published as soon as they are ready.

    Find out more about our Research Topics

  • Our fee support program ensures that all articles that pass peer review, including those published in Research Topics, can benefit from open access – regardless of the author's field or funding situation.

    Authors and institutions with insufficient funding can apply for a discount on their publishing fees. A fee support application form is available on our website.

  • In line with our mission to promote healthy lives on a healthy planet, we do not provide printed materials. All our articles and ebooks are available under a CC-BY license, so you can share and print copies.