The Propagation Process for Predator-prey Model of Worm in Wireless Sensor Network

Wireless Sensor Networks (WSNs) serve diverse applications but susceptible to malicious attacks. Limited research has explored the impact of protected nodes on worm propagation within WSNs, considering differential dynamics. Quantitative investigation of WSN worm propagation models, incorporating focused protection, is conducted using the Holling-II class predator-prey model. This work is focused on: 1. Establishing local and global asymptotic stability conditions. 2. Investigating Hopf bifurcation and identifying key parameters. 3. Determining conditions for Hopf bifurcation. 4. Discussing bifurcation direction and periodic solution stability. 5. Deriving parameter thresholds for transitioning from viral to virus-free equilibrium. Based on these findings, a virus prevention and control scheme is designed. Theoretical analysis and numerical experiments validate the model’s utility as a reference for network worm prevention and control.