In order to counter the tendency of collaborative tracking and rounding up control of multiple unmanned aerial vehicle (multiUAV) to track intrusive aircraft, a strategy of multiUAV cooperate is used to capture an escaped target. This strategy introduces the escaperounding phenomenon of natural biota when the catching becomes a prey. The roundup process consists of two stages. At the first stage, the control method based on dynamic feedback linearization is applied to track the escaped target accurately. At the second stage, the Lyapunov vector field (LVF) method is utilized for ensuring the UAV to avoid dangerous areas such as enemy air defense forces and radar detection in counter flight. The simulation results show that the designed strategy in the scenario of multiUAV rounding up and preventing target escape is valid and feasible.