Functional Differential Equations and Epidemiological Modelling

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 millions of people and even killed many of them 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 no one can realize if reported cases are cases unless verified, and there are undoubtedly other unknown infected individuals. Humans, in 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 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 a lot of 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 issue of the subject will be focused on but not limited to:

 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 application
• Theoretical, computational, and realistic nature of infectious disease' models
• Review of 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

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