Dear Colleagues,

This Special Issue is a continuation of the previous successful Special Issue “Functional Differential Equations and Epidemiological Modelling” in the MDPI journal Mathematics.

Overview:

Functional differential equations play a major role in mathematical modeling. Over the past few years, the world has faced a major challenge from rapidly spreading and deathly infectious diseases. These infectious diseases have infected and even killed millions of people all over the world. It is important to note that statistics (numbers of infected and deaths) provided by nations around the globe cannot offer a true numerical figure, because it is not possible to confirm if reported cases are cases unless verified, and there are undoubtedly other unknown infected individuals. Humans, on their part, as they have the goal of managing the world in which they live, have taken drastic steps to strike back to avoid the spread of these epidemics. To date, countless data have been collected in different countries, showing the number of deaths and recoveries in the literature. Mathematical models may be useful if they are capable of replicating the observed facts, including the evaluation of the proposed models with experimental or collected data. If mathematical simulations are in strong compliance with experimental results, the future can be predicted. These steps give rise to research with many objectives.

This Special Issue aims at providing a specific opportunity to review the stability strategies for deadly diseases through modeling with functional applications. It will bring together researchers in relevant areas to discuss the latest progress, new research methodologies, and potential research topics. All original papers related to modeling and their application for optimization and control are welcome. The Special Issue will focus on, but is not limited to, the following topics:

 Topics

• Theory and applications of functional differential equations;
• Functional differential equations;
• Differential equations;
• Stochastic differential equations;
• Fractional differential equations;
• Deterministic and stochastic models of infectious diseases;
• Fractional models of infectious diseases;
• Review performance of mathematical models with delay equations with functional applications;
• Theoretical, computational, and realistic nature of infectious disease models;
• Review of the effect of new fractal differential and integral operators for modelling infectious diseases/sources;
• Chaos theory for biological problems with functional application.

Prof. Dr. Yongjin Li
Guest Editor

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. 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.