Dynamic study of a counter-terrorism model

We describe antiterrorist wars with a new mode which is different from the old Lanchester model. The new model can explain the reason why terrorism does't drive down and even restores resurgence form death. Rich dynamic properties of new model are interesting with actual significance. We analysis the varying parameters of the model to affect result of war. Some times army maybe win the war and some times the war will continue for a long time. What is the most important thing that we consider the inhomogeneous distribution of people on the battlefield.