Volume: 3 Issue: 4, 12/30/23

Year: 2023

Mathematical Modelling and Numerical Simulation with Applications (MMNSA) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modeling, theoretical analysis with applications, experimental observation, and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a proper venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and engineering.

MMNSA focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves interdisciplinary processes, and contributions in this area with numerical simulations are also encouraged. The scope of the journal is devoted to mathematical modelling with sufficiently advanced models, and the works studying mainly the existence and stability of stationary points of ODE systems without applications are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to real-world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. The authors are invited to submit papers to the announced issues or to suggest new issues.

The journal publishes regular papers dealing with the following areas, but not limited to:

  • Mathematical modelling in science and engineering
  • Mathematical modelling and chaos analysis in engineering,
  • Financial mathematics
  • Control theory, adaptive and robust control
  • Modeling of real-world problems
  • Chaos theory and chaotic systems,
  • Fractional calculus and applications
  • Artificial intelligence with applications
  • Modeling of bio-systems for optimization and control
  • Control theory and fuzzy theory with applications
  • Linear and/or nonlinear programming
  • Stochastic programming
  • Dynamic programming
  • Nonlinear dynamics
  • Stochastic differential equations
  • Operational research in life and human sciences
  • Applications related to the control in engineering

       Research Areas (Categories / Classification) - Web of Science category

  • Life Sciences & Biomedicine: Mathematical & Computational Biology
  • Physical Sciences: Mathematics, Physics
  • Social Sciences: Mathematical Methods in Social Sciences
  • Technology: Automation & Control Systems, Computer Science, Engineering, Mechanics, Science & Technology Other Topics.

New Submissions

Solicited and contributed manuscripts should be submitted to MMNSA via the journal's online submission system. You need to make registration prior to submitting a new manuscript (please click here to register and do not forget to define yourself as an "Author" in doing so). You may then click on the "New Submission" link on your User Home.

IMPORTANT: If you already have an account, please click here to login. It is likely that you will have created an account if you have reviewed or authored for the Journal in the past. On the submission page, enter data and answer questions as prompted. Click on the “Next” button on each screen to save your work and advance to the next screen. The names and contact details of three to five internationally recognized experts who can review your manuscript should be entered in the "Comments for the Editor" box.

You will be prompted to upload your files: Click on the “Browse” button and locate the file on your computer. Select the description of the file in the drop-down next to the Browse button. When you have selected all files you wish to upload, click the “Upload” button. Review your submission before sending it to the Editors. Click the “Submit” button when you are done reviewing. Authors are responsible for verifying all files have been uploaded correctly.

You may stop a submission at any phase and save it to submit later. Acknowledgment of receipt of the manuscript by MMNSA Online Submission System will be sent to the corresponding author, including an assigned manuscript number that should be included in all subsequent correspondence. You can also log on to the submission web page of MMNSA at any time to check the status of your manuscript. You will receive an e-mail once a decision has been made on your manuscript.

Each manuscript must be accompanied by a statement that it has not been published elsewhere and that it has not been submitted simultaneously for publication elsewhere.

Preparation of Manuscripts

Manuscripts can be prepared using LaTeX (.tex) format. The preferred first submission format (for reviewing purposes only) is Portable Document File (.pdf). After acceptance, the papers should be converted to the LaTeX (.tex) template which can be found in the following link:

The link above leads directly to the Overleaf interface and the latex template of the journal can be downloaded from the Menu link in the upper left of the interface then any changes can be done easily. Moreover, any required information that is required during the preparation of the manuscript can be found in the template.

CRediT (Contributor Roles Taxonomy) Authors Statements
CRediT (Contributor Roles Taxonomy) is introduced with the intention of recognizing individual author contributions, reducing authorship disputes and facilitating collaboration.
CRediT offers authors the opportunity to share an accurate and detailed description of their diverse contributions to the published work.
The corresponding author is responsible for ensuring that the descriptions are accurate and agreed by all authors. The role(s) of all authors should be listed, using the relevant above categories. Authors may have contributed in multiple roles. CRediT in no way changes the journal’s criteria to qualify for authorship. CRediT statements should be provided during the submission process and will appear above the acknowledgment section of the published paper as shown further below.

Possible CRediT statements:
Conceptualization, Methodology, Software, Validation, Formal Analysis, Investigation, Resources, Data Curation, Writing - Original Draft, Writing - Review & Editing, Visualization, Supervision, Project Administration, Funding Acquisition.

Sample CRediT author statement:
First Author: Conceptualization, Methodology, Software. Second Author: Data curation, Writing-Original draft preparation. Third Author: Visualization, Investigation. Fourth Author: Supervision. Fifth Author: Software, Validation, Writing-Reviewing and Editing. All authors discussed the results and contributed to the final manuscript.

English Editing
Papers must be in English. Both British and American spelling is acceptable, provided usage is consistent within the manuscript. Manuscripts that are written in English that is ambiguous or incomprehensible, in the opinion of the Editor, will be returned to the authors with a request to resubmit once the language issues have been improved. This policy does not imply that all papers must be written in "perfect" English, whatever that may mean. Rather, the criteria require that the intended meaning of the authors must be clearly understandable, i.e., not obscured by language problems, by referees who have agreed to review the paper.

Manuscript style
Use a standard font of the 11-point type: Times New Roman is preferred. It is necessary to single-line space your manuscript. Normally manuscripts are expected not to exceed 25 single-spaced pages including text, tables, figures and bibliography. All illustrations, figures, and tables are placed within the text at the appropriate points, rather than at the end.

During the submission process, you must enter:

• The full title of the paper,
• Names and affiliations of all authors,
• The full addresses, including emails, (telephone, and fax) of all authors.
• Include the name(s) of any sponsor(s) of the research contained in the paper, along with grant number(s).
• Enter an abstract of no more than 250 words for all articles.

Keywords: Authors should prepare 3 to 5 keywords for their manuscript.

MSC 2020 Classification: Three to five MSC 2020 Classification numbers (https://mathscinet.ams.org/msnhtml/msc2020.pdf) of the study should be specified after keywords.

• An abstract is a concise summary of the whole paper, not just the conclusions. The abstract should be no more than 250 words and convey the following:
• An introduction to the work. This should be accessible by scientists in any field and express the necessity of the experiments executed.
• Some scientific details regarding the background of the problem.
• A summary of the main result.
• The implications of the result.
• A broader perspective of the results, once again understandable across scientific disciplines.
It is crucial that the abstract conveys the importance of the work and be understandable without reference to the rest of the manuscript to a multidisciplinary audience. Abstracts should not contain any citation to other published works.

Reference Style
Reference citations in the text should be identified by numbers in square brackets "[ ]". The bibliography of the work is arranged by the order in which the citations appear in the text. The original number assigned to the reference is used each time that reference is cited in the text.

The first reference cited will be numbered [1] in the text, and the second reference cited will be numbered [2], and so on. If the reference number [1] is cited again later in the text, it will be cited using the number [1].

All references must be complete and accurate. Please ensure that every reference cited in the text is also presented in the reference list (and vice versa).

DO NOT use abbreviations in the journal names.
Online citations should include the date of access.
References should be listed in the following style:

Journal article
Author, A.A., & Author, B. Title of article. Title of Journal, Vol(Issue), pages, (Year).
Castles, F.G., Curtin, J.C., & Vowles, J. Public policy in Australia and New Zealand: The new global context. Australian Journal of Political Science, 41(2), 131–143, (2006).

Author, A. Title of book. Publisher: Place of Publication, (Year).
Mercer, P.A., & Smith, G. Private Viewdata in the UK. 2nd ed. Longman: London, (1993).

Book Chapter
Author, A. Title of chapter. In: A. Editor and B. Editor, eds. Title of book. Publisher, Place of publication, pages, (Year).
Bantz, C.R. Social dimensions of software development. In: J.A. Anderson, ed. Annual review of software management and development. CA: Sage, Newbury Park, 502–510, (1995).

Internet document
Author, A. Title of document [online]. Source, (Year). Available from: URL [Accessed (date)].
Holland, M. Guide to citing Internet sources [online]. Poole, Bournemouth University, (2004). Available from: http://www.bournemouth.ac.uk/library/using/guide_to_citing_internet_sourc.html [Accessed 4 November 2004].

Newspaper article
Author, A. (or Title of Newspaper). Title of article. Title of Newspaper, day Month, page, column, (Year).
Independent. Picking up the bills. Independent, 4 June, p. 28a, (1992).

Author, A. Title of thesis. Type of thesis (degree). Name of University, (Year).
Agutter, A.J. The linguistic significance of current British slang. Ph.D. Thesis. Edinburgh University, (1995).

Illustrations submitted (line drawings, halftones, photos, photomicrographs, etc.) should be clean originals or digital files. Digital files are recommended for the highest quality reproduction and should follow these guidelines:

300 dpi or higher
Sized to fit on the journal page
EPS, TIFF or JPEG format only
Embedded in text files and submitted as separate files (if required)

Tables (and figures) should be embedded in the text at the appropriate points, rather than at the end. A short descriptive title should appear above each table with a clear legend and any footnotes suitably identified below.

Page proofs are sent to the designated author using the MMNSA E-Proof system. They must be carefully checked and returned within 48 hours of receipt.

Offprints / Reprints
The corresponding author of an article will receive a notification of that their article has been published and made available online in PDF format. The authors can download their manuscript free of charge and use considering the rights expressed in the Copyright Notice.

Author roles and responsibilities
When determining the credit for a piece of work, authors should ensure that all those who have made a significant contribution are cited as co-authors. Other individuals who have contributed to the study in a lesser capacity should be acknowledged, but not cited as authors. An author is someone who has made a significant intellectual contribution to the article, this can include but is not limited to:

  • Background theory
  • Design of experiment
  • Device prototype
  • Data analysis and interpretation
  • Writing of the article or reviewing and/or revising the text and/or figures
We strongly encourage authors to make specific attributions of contribution and responsibility in the acknowledgments of the article, otherwise, all co-authors will be taken to share full responsibility for all of the paper. Authors may wish to use a taxonomy such as CRediT to describe the contributions of each author.

Authors are expected to reach an agreement between themselves regarding authorship, and the order in which author names are presented. If the agreement between the authors cannot be reached, the institution(s) where the work was undertaken should be asked to investigate. MMNSA will not arbitrate in cases where there is disagreement over authorship. MMNSA has the right to remove your article from the review process until a resolution can be agreed.

Authors should not use authorship or acknowledgments misleadingly to imply a contribution or endorsement by individuals who have not, in fact, been involved with the work or given an endorsement.

Responsibility of the corresponding author
It is the corresponding author’s responsibility to ensure that all named authors have approved the submitted version of the article, and all further revisions, agree to its submission and are willing to take appropriate responsibility for it.
It is important that all authors have approved the final version of the article as accepted for publication.
It is the corresponding author’s responsibility to ensure the paper is not under consideration by any other journal at the time of submission.
It is the corresponding author’s responsibility to ensure the contact details for all co-authors are entered and correct at the time of submission.

Changes in authorship
Any changes to authorship during the review process must be approved by all authors of the paper, and all authors must confirm to the journal that they give their consent and made a genuine intellectual contribution to the paper. In this context, all authors must fill in the "MMNSA author changes form" and must sign it for any authorship changes including adding new authors / affiliation(s), removing existing authors / affiliation(s), or reordering existing authors / affiliation(s). Corresponding author should confirm that all authors meet the criteria for authorship as outlined by Committee on Publication Ethics (COPE) and that all authors agree to the change. All authors who have been added, removed, or reordered need to confirm that they agree to the change by signing the form. The concerned submission will be put on hold for further processing until the editorial office receives the completed form. MMNSA reserves the right to refuse requests if there is reason to doubt the contribution of any newly-added author.

Deceased authors
In cases where an author has sadly passed away before a paper has been submitted, we require consent from a familial or legal proxy of the deceased for the paper to be reviewed for potential publication. Deceased authors are still eligible for co-authorship if they made a significant intellectual contribution to the article.

Committee on Publication Ethics (COPE)
MMNSA is committed to ensuring ethics in the publication and quality of articles. Conforming to standards of expected ethical behavior is, therefore, necessary for all parties (the author, the editor(s), and the peer reviewer) involved in the act of publishing. Especially, MMNSA is following the Code of Conduct as defined by the Committee of Publication Ethics (COPE). These ethics include the editor following certain rules on relations with readers, authors, and reviewers as well as procedures for handling complaints. Conformance to standards of ethical behavior is therefore expected of all parties involved: Authors, Editors, Reviewers, and the Publisher.

International Standards for Editors
The editors of the MMNSA are responsible for deciding which of the articles submitted to the journal should be published considering their intellectual content without regard to race, gender, sexual orientation, religious belief, ethnic origin, citizenship, or political philosophy of the authors. The editors may be guided by the policies of the journal's editorial board and constrained by such legal requirements as shall then be in force regarding libel, copyright infringement, and plagiarism. The editors may confer with other editors or reviewers in making this decision. As guardians and stewards of the research record, editors should encourage authors to strive for, and adhere themselves to, the highest standards of publication ethics. Furthermore, editors are in a unique position to indirectly foster responsible conduct of research through their policies and processes.

To achieve the maximum effect within the research community, ideally, all editors should adhere to universal standards and good practices.
  • Editors are accountable and should take responsibility for everything they publish.
  • Editors should make fair and unbiased decisions independent from commercial considerations and ensure a fair and appropriate peer-review process.
  • Editors should adopt editorial policies that encourage maximum transparency and complete, honest reporting.
  • Editors should guard the integrity of the published record by issuing corrections and retractions when needed and pursuing suspected or alleged research and publication misconduct.
  • Editors should pursue reviewer and editorial misconduct.
  • Editors should critically assess the ethical conduct of studies in humans and animals.
  • Peer reviewers and authors should be told what is expected of them.
  • Editors should have appropriate policies in place for handling editorial conflicts of interest.

Kleinert S & Wager E (2011). Responsible research publication: international standards for editors. A position statement developed at the 2nd World Conference on Research Integrity, Singapore, July 22-24, 2010. Chapter 51 in: Mayer T & Steneck N (eds) Promoting Research Integrity in a Global Environment. Imperial College Press / World Scientific Publishing, Singapore (pp 317-28). (ISBN 978-981-4340-97-7) [Link].

International Standards for Authors

The publication is the final stage of research and therefore a responsibility for all researchers. Scholarly publications are expected to provide a detailed and permanent record of research. Because publications form the basis for both new research and the application of findings, they can affect not only the research community but also, indirectly, society at large. Researchers, therefore, have a responsibility to ensure that their publications are honest, clear, accurate, complete, and balanced, and should avoid misleading, selective or ambiguous reporting. Journal editors also have responsibilities for ensuring the integrity of the research literature and these are set out in companion guidelines.

  • The research being reported should have been conducted in an ethical and responsible manner and should comply with all relevant legislation.
  • Researchers should present their results clearly, honestly, and without fabrication, falsification or inappropriate data manipulation.
  • Researchers should strive to describe their methods clearly and unambiguously so that their findings can be confirmed by others.
  • Researchers should adhere to publication requirements that submitted work is original, is not plagiarized, and has not been published elsewhere.
  • Authors should take collective responsibility for submitted and published work.
  • The authorship of research publications should accurately reflect individuals’ contributions to the work and its reporting.
  • Funding sources and relevant conflicts of interest should be disclosed.
  • When an author discovers a significant error or inaccuracy in his/her own published work, it is the author’s obligation to promptly notify the journal’s Editor-in-Chief and cooperate with them to either retract the paper or to publish an appropriate erratum.

Wager E & Kleinert S (2011) Responsible research publication: international standards for authors. A position statement developed at the 2nd World Conference on Research Integrity, Singapore, July 22-24, 2010. Chapter 50 in: Mayer T & Steneck N (eds) Promoting Research Integrity in a Global Environment. Imperial College Press / World Scientific Publishing, Singapore (pp 309-16). (ISBN 978-981-4340-97-7) [Link].

Basic principles to which peer reviewers should adhere
Peer review in all its forms plays an important role in ensuring the integrity of the scholarly record. The process depends to a large extent on trust and requires that everyone involved behaves responsibly and ethically. Peer reviewers play a central and critical part in the peer-review process as the peer review assists the Editors in making editorial decisions and, through the editorial communication with the author, may also assist the author in improving the manuscript.

Peer-reviewers should:
  • respect the confidentiality of peer review and not reveal any details of a manuscript or its review, during or after the peer-review process, beyond those that are released by the journal;
  • not use information obtained during the peer-review process for their own or any other person’s or organization’s advantage, or to disadvantage or discredit others;
  • only agree to review manuscripts for which they have the subject expertise required to carry out a proper assessment and which they can assess within a reasonable time-frame;
  • declare all potential conflicting interests, seeking advice from the journal if they are unsure whether something constitutes a relevant conflict;
  • not allow their reviews to be influenced by the origins of a manuscript, by the nationality, religion, political beliefs, gender or other characteristics of the authors, or by commercial considerations;
  • be objective and constructive in their reviews, refraining from being hostile or inflammatory and from making libellous or derogatory personal comments;
  • acknowledge that peer review is largely a reciprocal endeavour and undertake to carry out their fair share of reviewing, in a timely manner;
  • provide personal and professional information that is accurate and a true representation of their expertise when creating or updating journal accounts.

Homes I (2013). COPE Ethical Guidelines for Peer Reviewers, March 2013, v1 [Link]. 

MMNSA journal does not have an

* Article Submission Fee,
* Editorial Processing Charge,
* Article Processing Charge (APC),

as part of the submission process to contribute to review and publishing costs.

Math Model Numer Simul Appl - 2024 
The published articles in MMNSA are licensed under a Creative Commons Attribution 4.0 International License