This thesis is targeting the dynamics and the stability behaviour of a terrorist group. It deals with several models based on Hausken's considerations in his work Composition and Dynamic Evolution of Terrorist Organizations. One main task is to investigate the stability behaviour by influencing a single parameter in the model representing such a group. Hausken assumed that terrorist organisations consist most often of three groups:
ideologues, criminal mercenaries and captive participants. Ideologues provide political purpose and direction and have a strong group commitment. Like every group a terrorist organisation often needs money to survive. The ideologues acquire money through capital support by sponsors or criminal activities. To assure permanent financial supporting ideologues have to recruit mercenaries. These criminal mercenaries support the organisation by providing money, but they have a weak group commitment and may corrupt the ideological purity of the group. Captive participants have neither strong commitments nor financial interests but cannot leave without repercussions. The developement of the terrorist organisation is influenced by the strength of every single group and may turn into a criminal organisation or may break completely. The following models, based on Hausken's work, analyse the developement of such a group. Hausken first presents a model starting with only ideologues which is then expanded by criminal mercenaries and finally by captive participants. Thereafter Hausken also included gouvernment intervention to his model. Those formerly mentioned models of different dimensions will be investigated accurately for the issue of an existing solution and the stability. In addition, an analysis for measuring the influence of a parameter change will be done to minimise the damage costs caused by the terrorist organisation.