一个包含目标趋向性的增强型Cucker-Smale群体运动模型

生物群集运动往往具有共同的群体目的，且群体成员仅在局部范围内进行信息交互。在描述生物群集运动的Cucker-Smale模型基础上，引入目标趋向作用和几何邻域，建立了更符合实际的增强Cucker-Smale群体运动模型，并结合速度匹配、避免碰撞、群体聚集、趋向目标4个群体目的建立了相应的效能评价指标，以实现对模型效能的量化评估。仿真结果表明，在模型中引入目标趋向作用和几何邻域后，群体能够有效地趋向目标，同时不影响达到其余群体目的；适当增加目标趋向作用会对群体的速度匹配起到积极的促进作用，使群体更快地达到稳定状态。

An enhanced Cucker-Smale flocking model including the target directed interaction

In a biological flocking behavior, all group members have a common group target and exchange information only in local range. In this paper, based on the Cucker-Smale flocking model describing the movement of biological flocking behavior, an enhanced Cucker-Smale flocking model is proposed by introducing the target directed interaction and geometric neighborhood. In order to quantity the effectiveness of the model, an evaluation system with four functions, which is the speed matching function, the collision avoidance function, the group aggregation function and the target directed function is defined. The simulation illutrates the effectiveness of the model.