Manuscript Topics

Mathematical modeling has been used extensively during the last decades to study many phenomena including biological processes. Mathematical modeling in conjunction with numerical simulations is an excellent tool for getting a better understanding of many mechanisms related to biological processes. It helps in our comprehension of processes related to ecosystems, infectious diseases, and various biosystems. For instance, the COVID-19 pandemic has been studied and analyzed with a great variety of mathematical models. Mathematical modeling helps with the qualitative and quantitative understanding of many biological processes. The most common topics that mathematical modeling deals with are related to viruses, cells, parasites, pathogens, the human body, animals and ecosystems. Mathematical models for biological processes have provided valuable information for improving the quality of life and in general public health. Oftentimes, the complexity of biological processes requires the use of complex mathematical models and numerical simulations to get deeper insight into these processes.

In this special issue, we will include a variety of research works that use mathematical models based on differential equations, difference equations and Agent Based Models (ABM) to analyze a variety of biological processes related to infectious diseases. This special issue will also include research that presents challenges that are faced when doing mathematical modeling of biological processes such as handling biological data or setting hypotheses. In addition, works related to current developments in the field of mathematical modeling of biological processes. This aspect includes new techniques, approaches, and insightful computer simulations. The high complexity of biological processes requires all these scientific tools to get a deeper understanding of these processes. The numerical simulations of mathematical models are oftentimes necessary for supporting theoretical results and testing different hypotheses. Moreover, the results of these simulations require biological interpretation and validation. In this special issue we solicit potential authors to submit original papers related to, but not limited to, the following topics:

• Mathematical modeling of a variety of biological processes related to infectious diseases such as epidemics, viral dynamics, pathogen dynamics, etc.  
• New mathematical models for biological systems that involve infectious diseases.  
• Numerical simulations of mathematical models of biological processes that are connected to the infectious diseases.

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