Modeling the dynamics of a real biological system

Abstract

Infectious cells are and will continue to be a global problem, regarding the alteration of the health of individuals, the motivation for choosing this topic being the major implication the infectious cells has within the public health system and the way it acts, managing to successfully overcome barriers which the body raises to maintain cellular stability. The article brings new contributions related to the topic of dynamic modeling the immunity system, by determining a mathematical model of the interaction between the cells of the immune system and the cells of the infectious agent. Different types of behaviors are presented taking into account the entry of viral particles into the target cells, behaviors of the model without delay time, followed by time predictions for the delay time model. Finally, we compared the models and concluded that the delay time model is much more realistic, through the oscillations and fluctuations in the three components in the primary stages of infection.