Modeling network traffic dynamics under DDoS аttacks using differential equations

Abstract

In this paper, we develop a set of differential equations to model the network traffic dynamics under DDoS (Distributed Denial of Service) attacks by analyzing active connections and server response times. Focusing on packet loss and degradation of legitimate traffic, our model illustrates the changing behavior over time during DDoS attacks. Numerical simulations implemented using the Runge-Kutta method in Python provide insight into the effectiveness of mitigation strategies. By studying the relationship between attack traffic and legitimate traffic, our findings highlight the impact of DDoS attacks on network performance and the importance of robust security mechanisms to ensure service availability and quality in the face of cyber threats.