A combinatorial model of malware diffusion via Bluetooth connections

TL;DR

This paper presents a mathematical model for the spread of malware via Bluetooth connections on cellphones, including both recursive and closed-form formulas for infection dynamics.

Contribution

It introduces a novel combinatorial and deterministic model for malware diffusion through Bluetooth, with explicit formulas for efficient computation.

Findings

Derived a recursive infection model

Provided a closed-form solution for the diffusion process

Facilitates efficient simulation of malware spread

Abstract

We outline here the mathematical expression of a diffusion model for cellphones malware transmitted through Bluetooth channels. In particular, we provide the deterministic formula underlying the proposed infection model, in its equivalent recursive (simple but computationally heavy) and closed form (more complex but efficiently computable) expression.