A deterministic mathematical model of terrorism with government inter-vention was constructed from five compartments and subdivided into two core and non-core groups. A non-core group is a general group G(t), while the core group is susceptible S(t), moderate I(t), terrorism T (t), and re-covered R(t). The Elzaki transform method with differential transform to handle the nonlinear terms is employed to solve the model. The results show that government intervention on susceptible groups proved to be 90% effective in reducing terrorist threats since the group of susceptible in the population appears to be at risk of adopting the ideology through different means of contact. Also, due to the government intervention, the moderate group reduces gradually in time.