Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy

Table 1

Notations in this paper.

Notation	Explanation
𝑁	Total number of hosts in the network
𝑆(𝑡)	Number of susceptible hosts at time 𝑡
𝐸(𝑡)	Number of exposed 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
𝛼	The rate at which exposed hosts become infectious
𝛾	Removal rate of infectious hosts
𝜇	The rate at which vaccinated hosts become susceptible
𝜈	The rate at which exposed hosts are vaccinated or treated
𝛿	Removal rate of quarantined hosts
𝜃1𝜃2𝜃3	Quarantine rate of infectious, exposed, and susceptible hosts
𝜏	Time delay of detecting and removing worms