Modeling and Analysis of Bifurcation in a Delayed Worm Propagation Model

Table 1

Notations in this paper.

Notation	Definition
𝑁	Total number of hosts in the network
𝑆(𝑡)	Number of susceptible hosts at time 𝑡
𝐼(𝑡)	Number of infectious hosts at time 𝑡
𝐷(𝑡)	Number of delayed hosts at time 𝑡
𝑄(𝑡)	Number of quarantined hosts at time 𝑡
𝑉(𝑡)	Number of vaccinated hosts at time 𝑡
𝛽	Infection rate
𝜔	Vaccine rate of susceptible hosts
𝛼	Quarantine rate
𝜑	Removal rate of quaratined hosts
𝛾	Removal rate of infectious hosts
𝜇	Birth and death rates
𝑝	Birth ratio of susceptible hosts
𝜏	Length of the time window in IDS