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Theory and Modern Applications

Table 1 Characterization of notations

From: A dynamic model of viruses with the effect of removable media on a computer network with heterogeneous immunity

Notation

Meaning

Unit

S(t)

Strongly-protected susceptible computers

In number

W(t)

Weakly-protected susceptible computers

In number

I(t)

Infected computers

In number

\(R_{S}(t)\)

Susceptible removable devices

In number

\(R_{I}(t)\)

Infected removable devices

In number

N(t)

The total number of computers

In number

\(R_{N}(t)\)

The total number of removable devices

In number

β

The infection rate of W-node caused by an infected computer

\(\mathrm{Day} ^{-1}\)

δ

The infection rate of W-node caused by an infected removable device

\(\mathrm{Day} ^{-1}\)

ϵ

The rate that W-node enters S-node

\(\mathrm{Day} ^{-1}\)

α

The rate that S-node converts to W-node

\(\mathrm{Day} ^{-1}\)

γ

The recovery rate of infected computers

\(\mathrm{Day} ^{-1}\)

\(\sigma _{1}\)

The infection rate of \(R_{S}\)-node caused by an infected computer

\(\mathrm{Day} ^{-1}\)

\(\sigma _{2}\)

The recovery rate of infected removable devices

\(\mathrm{Day} ^{-1}\)