Nowadays, infectious diseases caused by viruses, such as the human immunodeficiency virus (HIV), hepatitis B virus (HBV), Ebola, and, more recently, Zika virus, represent a major global health problem that they cause mortality of millions of people and expenditure of enormous amount of money in health care and disease control. For these reasons, the aim of this special issue will be focused on the mathematical modeling of infectious diseases by used ordinary differential equations (ODEs), delay differential equations (DDEs), partial differential equations (PDEs), fractional differential equations (FDEs), stochastic differential equations (SDEs), and difference equations in order to better understand the dynamics of these infectious diseases and establish control strategies to limit their evolution and spread.

Potential topics include but are not limited to the following:

• Mathematical modeling in virology by ODEs
• Mathematical modeling in virology by DDEs
• Mathematical modeling in virology by PDEs
• Mathematical modeling in virology by FDEs
• Mathematical modeling in virology by SDEs
• Mathematical modeling in virology by difference equations
• Analysis, simulation, control strategies, and experimental investigation of biological systems describing the dynamics of viral infections