Table 2 Terminology and abbreviations used for SIIDR analysis
From: Modeling self-propagating malware with epidemiological models
Notation | Meaning |
|---|---|
\(\beta\) | Infection rate |
\({\tilde{\beta }}\) | Infection probability |
\(\mu\) | Recovery rate |
\(\gamma _1\) | Transition rate from infected to infected dormant compartment |
\(\gamma _2\) | Transition rate from infected dormant to infected compartment |
\(\zeta _{i, t}(I)\) | The probability of node i of not getting infected at time step t |
\(\alpha _{XY}\) | The probability of a node to transition from state X to Y |
\(\alpha _{XX}\) | The probability of a node to stay in the state X |
DFE | Disease-free equilibrium point |
\(R_0\) | The basic reproduction number |
G | Next-generation matrix |
X | The vector of individual numbers in each compartment |
\(E^*\) | Equilibrium point for SIIDR as the system of ODEs |
L | Lyapunov function |
P | Each node’s vector of probabilities to be in each compartment |
\(P^*\) | Equilibrium point for SIIDR as the NLDS |
g | Matrix form of SIIDR represented as the NLDS |
C | Linear part of SIIDR as the NLDS Matrix Form |
B | Non-Linear Part of SIIDR as the NLDS Matrix Form |
\(\mathbb {A}\) | Graph adjacency matrix |
\(\lambda _A\) | The largest eigenvalue of the adjacency matrix \(\mathbb {A}\) |
d | Degree of the d-regular Graph |