Malware Diffusion Models for Modern Complex Networks

6.3. Worm’s Optimal Control

Let ((S,I,D),ν) be an optimal solution. Let the Hamiltonian H, and costate or adjoint functions λS(t), λI(t), and λD(t), and a scalar λ0≥0 be defined as the following:

H:=λ0f(I)+(λI−λS)βIS−λSQ(S,I)S−λIB(S,I)I+(λD−λI)νI,

(6.4) ...