Mathematical model to understand the spread of extreme ideology in a closed population will be discussed in this paper. Human population divided into five sub-population, i.e virgin sub-population, semi fanatic sub-population, fanatic sub-population, aware sub-population and recovered sub-population. Intervention to rehabilitate first three sub-population (virgin, semi fanatic and fanatic) included in this model as an effort by the government to control the spread of the ideology. Equilibrium points and their threshold conditions are shown analytically. Some numerical simulation are given to support the analytic results. It is shown that isolate fanatic people and educate them is a better solution rather than to give an education about the danger of the extreme ideology to source population.