Abstract
In our earlier papers, several mathematical models were presented for describing the schooling behavior of fish. The parameters included in the model were estimated on the basis of the time series data of fish position observed from a water tank experiment. In this paper, a sensitivity analysis to the model parameters is investigated. In order to calculate the parameter sensitivity, Monte Carlo simulation is carried out with varying the values of the parameters for the model.
A case study of the simulation is to investigate the direction of swimming behavior of fish that encounter with a leader net. It is observed from the simulation results that the parameters related to the propulsive force and the schooling force have low sensitivity. On the other hand, the parameters related to the repulsive force from wall and the interactive force are found to have high sensitivity. Further, the validity of this result is confirmed by making reference to the previous experimental results.
