Mathematical Models for Fish Schooling

2025/08/08 by Nguyen, Linh Thi Hoai, Ta, Ton Viet, Yagi, Atsushi · 3 citations
#FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2508.08310

Abstract

This note reviews our mathematical models for fish schooling, considered in free space, and in space with obstacle and food resource. These models are performed by stochastic differential equations or stochastic partial differential equations. We then present an example for the model in the last case.

Citations

• A Geometrical Structure for Predator-Avoidance Fish Schooling
• A sustainability condition for stochastic forest model
• Flocking in noisy environments

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