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A stochastic differential equation model for foraging behavior of fish schools

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arxiv 1509.00063 v3 pith:NQF54K6P submitted 2015-08-28 math.PR nlin.AO

Ton Viet Ta , Linh Thi Hoai Nguyen This is my paper · ORCID
classification math.PRnlin.AO
keywords fishforagingspaceconfigurationsmodelbehaviordifferentialfood
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We present a novel model of stochastic differential equations for foraging behavior of fish schools in space including obstacles. We then study the model numerically. Three configurations of space with different locations of food resource are considered. In the first configuration, fish move in free but limited space. All individuals can find food almost surely. In the second and third configurations, fish move in limited space with one or two obstacles. Our results reveal that on one hand, when school size increases, so does the probability of foraging success. On the other hand, when it exceeds an optimal value, the probability decreases. In all configurations, fish always keep a school structure through the process of foraging.

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Cited by 1 Pith paper

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  1. Mathematical Models for Fish Schooling

    cond-mat.stat-mech 2025-08 conditional novelty 1.0 of 10

    A self-review of the authors' SDE fish-schooling models with a single simulation example showing a school reaching food.

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