Fish Behavior Model for the Control of Fish Behavior in Marine Ranch

1.水槽实验数据的采集与处理通过对视频数据的图像处理，得到鱼群中各个个体位置的时间序列数据。2.鱼类行为模型的理论分析利用水槽实验数据，提出了描述鱼群行为的数学模型。该模型由一个具有4Nf个状态变量的非线性微分方程组表示，其中Nf是个体数。对于N_f=2和N_f=3的情况，分析结果表明了系统的稳定稳态与鱼群行为之间的关系。3.与各种刺激有关的鱼群行为的模拟分析通过使用模拟技术，研究了鱼群受到各种环境影响的情况，即障碍物或鱼类陷阱的出现，4.多个体鱼群行为的聚合模型提出了一种新的多个体鱼群运动的数学模型。该模型由学校重心和位于学校边界的四个个体的运动来表示。这种聚合使得它可以估计模型参数，甚至为许多个人。5.模拟鱼的行为有关的移动齿轮作为一个应用程序的例子，模拟鱼的行为有关的移动齿轮。为此，在模型中引入了跟踪运动目标的机制。仿真结果表明，在一个学校的个人改变游泳的方向和速度，以符合移动齿轮的速度。

1.Gathering and processing of water tank experiment dataTime-series data of the position of each individual in a school was obtained by image processing of video data.2.Theoretical analysis on fish behavior modelA mathematical model was proposed for describing the behavior of fish school by using the water tank experiment data. This model is represented by a system of nonlinear differential equations with 4N_f state variables, where N_f is the number of individuals. For the cases where N_f=2 and N_f=3, a result of analysis shows the relationship between a stable steady state of the system and a schooling behavior of fish.3.Simulation analysis on fish behavior in relation to various stimuliBy using a simulation technique, fish behavior was investigated for the cases where the school is affected by various environments, i.e.appearance of an obstacle or a fish trap, and approach of an enemy.4.Aggregated model for the behavior of fish shool with many individualsA new mathematical model was proposed for the motion of fish school with many individuals. The model is represented by the motions of school's gravity center and four individuals located at the boundary of the school. This aggregation makes it possible to estimate the model parameters even for many individuals.5.Simulation of fish behavior in relation to moving gearAs an example of applications, a simulation was carried out for fish behavior in relation to a moving gear. For this purpose, the mechanism of following a moving object was introduced into the model. A simulation result shows that the individuals in a school change the swimming direction and speed to agree with the speed of the moving gear.