The simulation and analysis of fish school behaviours with different body lengths
Huanda Lu1, 3, Xin Yu3, Ying Liu2, Kangsheng Liu1
1Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
2Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, China
3Ningbo Institute of Technology, Zhejiang University, Ningbo, 315100, China
In this paper, through simulating and modelling of fish school with different body length, we study the influences of the body length difference of fish school on spatial structure and group behaviour. Based on attraction/repulsion model, we obtain three typical spatial structure of group with different model parameters: mixture structure, periphery structure and front-back structure. Moreover, we analyse the polarization index and average angular speed of group with different model parameters and get the corresponding relationship between these indices and model parameters. The results obtained in this paper coincide with the phenomenon observed in the natural world and the methods provide an effective way to study the fish school behaviour.