Abstract
Infectious diseases caused by viruses, such as the human immunodeficiency virus, hepatitis B virus, hepatitis C virus, Ebola, and Zika virus, represent a major global health problem because they are responsible for mortality of millions of people each year. In the last 30 years, mathematical models have contributed to understand how infectious diseases progress and help inform public health interventions. Several programs of vaccination and treatments have been elaborated and developed. Therefore our focus in this chapter is the modeling and analysis of these infectious diseases by using ordinary differential equations, delay differential equations as well as partial differential equations in order to better understand their dynamics and establish control strategies to limit their spread and evolution. Furthermore, the mathematical models presented in this study take into account the crucial role of adaptive immunity in the control of viral infections.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
