Modeling malware propagation using a carrier compartment.

Abstract

[EN]The great majority of mathematical models proposed to simulate malware spread ing are based on systems of ordinary differential equations. These are compart mental models where the devices are classified according to some types: suscep tible, exposed, infectious, recovered, etc. As far as we know, there is not any model considering the special class of carrier devices. This type is constituted by the devices whose operative systems is not targeted by the malware (for example, iOS devices for Android malware). In this work a novel mathematical model considering this new compartment is considered. Its qualitative study is presented and a detailed analysis of the efficient control measures is shown by studying the basic reproductive number.