Malware Diffusion Models for Modern Complex Networks

7.3. Network-Malware Dynamic Game

7.3.1. Formulation

Following the setup described in Section  7.2, consider a system with two players N (network) and M (malware), specified by a system of n differential equations [146, P.83]: ẋ(t)=f(t,x(t),uN(t),uM(t))t∈[t0,T], where uN(t)∈UN⊂Rm, and uM(t)∈UM⊂Rs, and the initial condition x(t0)=x0, and a damage function ...