Application of Impulsive SIRQ Models for the Development of Forecasting and Cyberattack Mitigation Scenarios
This paper proposes an impulsive SIRQ model for the analysis of computer network resilience against malware propagation and distributed denial-of-service (DDoS) attacks. The model extends classical epidemic frameworks by combining continuous-time dynamics of malicious object spreading with discrete control actions corresponding to mass updates, node isolation, and access control policies. A qualitative analysis of the resulting system of impulsive differential equations is performed. The basic reproduction number R0 identified as a threshold parameter characterizing the intensity of attack […]