Analysis and Numerical Simulation for the Dynamics of Infectious Diseases with Applications in Medicine

Dear Colleagues,

Infectious diseases are caused by pathogenic microorganisms, such as bacteria, viruses, parasites or fungi, and can be spread, directly or indirectly, from one person to another. These diseases can be grouped into three categories: diseases which cause high levels of mortality; diseases which place heavy burdens of disability on populations; and diseases which, owing to the rapid and unexpected nature of their spread, can have serious global repercussions. Many of the key determinants of health and the causes of infectious diseases lie outside the direct control of the health sector. Other sectors involved are those dealing with sanitation and water supply, the environment and climate change, education, agriculture, trade, tourism, transport, industrial development and housing.

The World Health Organization (WHO) is dedicated to creating a world free from disease and addressing the social conditions that influence human health and well-being. However, unfortunately, the WHO is recording continuously increasing cases of death and infection, particularly resulting from infectious diseases such as HIV/AIDS, COVID-19, etc.

The current treatments still present substantial limitations: they do not fully restore health and the offered medications are not strictly curative. In fact, there is no cure or vaccine for the above deadly diseases, but medications can dramatically slow the progression of a disease, ultimately leading to either recovery or death.

In light of the above, we were motivated to investigate and contribute to this controversial subject using the best aspects of mathematical modelling.

Fractional dynamic systems are powerful tools with more accurate and successful results in modelling several complex phenomena in many diverse and widespread fields of science and engineering. As this challenging subject develops, it is paramount to focus on the theoretical and numerical techniques of applied mathematics in biology and medicine.

We invite original and compelling results obtained from modern computational techniques utilising theoretical, experimental and applied aspects of (fractional) dynamic systems in biosciences; detours from this are welcomed. It is necessary for these papers to be strongly grounded in high-level mathematics. Note that submitted papers should explicitly meet the aims and scope of this journal.

The papers should be written in English and carefully checked for correct grammar and spelling. Each paper should clearly indicate the nature of its scientific contribution. Manuscripts should be prepared using LaTeX and follow the journal’s instruction. Submission of a manuscript will be understood to mean that the paper is not being considered for publication elsewhere. Papers that are not prepared according to the above instructions or are badly written will be immediately rejected. All papers will be subject to a peer review process.

Prof. Dr. Amar Debbouche
Dr. Ivanka Stamova
Guest Editors

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• fractional integrals and derivatives
• discrete and continuous dynamic systems
• ill-posed, regularized, and inverse problems
• difference equations and finite element methods
• stochastic processes and random variables
• operator theory
• integral transformations and special functions
• optimization
• optimal control and stability analysis
• mathematical modelling
• epidemiological models
• sensitivity analysis
• communicable/infectious diseases models
• epidemiological models
• virus transmission
• numerical methods for PDEs
• computational techniques
• numerical simulation
• applications of fractional models in biology and medicine