Impulsive Switching Epidemic Model with Benign Worm Defense and Quarantine Strategy

Abstract

The issue on how to effectively control Internet malicious worms has been drawn significant attention owing to enormous threats to the Internet. Due to the rapid spreading of malicious worms, it is necessary to explore the integrated measures to automatically mitigate the propagation on the Internet. In this paper, a novel worm propagation model is established, which combines both impulsive quarantine and benign worm implementation. Then, sufficient conditions for the global stability of worm-free periodic solution and the permanence of the benign worm are obtained. Finally, the effects of quarantine strategy are assessed and some feasible strategies that can constrain the propagation of malicious worm are provided by numerical simulation.

Computational modeling of human papillomavirus with impulsive vaccination

“…Some scholars, for instance, the authors [8,[15][16][17], have studied the basic SIR and SIS models as impulsive differential equations by applying pulse vaccination. Currently, there are also published reports of the dynamic study of the infectious disease models with pulse vaccination [12,[18][19][20][21][22][23]. For example, the authors [19] investigated the global stability of a SIR epidemic model with impulsive vaccination, and the authors [18] investigated an optimal control impulsive SQEIAR epidemic of COVID-19; the authors [12] also analyzed a SIR optimal impulse vaccination model for a short period of time.…”