A stochastic differential equation model for foraging behavior of fish\n schools

2015/08/28 by Tôn Việt Tạ, Ta, Ton Viet, Linh Thi Hoai Nguyen +1 · 3 citations
Biochemistry, Genetics and Molecular Biology · Medicine · #35R60 #60H10 #92A18 #Adaptation and Self-Organizing Systems (nlin.AO) #Diffusion and Search Dynamics #FOS: Mathematics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1509.00063

openalex publication_date 2015/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a novel model of stochastic differential equations for foraging\nbehavior of fish schools in space including obstacles. We then study the model\nnumerically. Three configurations of space with different locations of food\nresource are considered. In the first configuration, fish move in free but\nlimited space. All individuals can find food almost surely. In the second and\nthird configurations, fish move in limited space with one or two obstacles. Our\nresults reveal that on one hand, when school size increases, so does the\nprobability of foraging success. On the other hand, when it exceeds an optimal\nvalue, the probability decreases. In all configurations, fish always keep a\nschool structure through the process of foraging.\n

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