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This paper presents a system of stochastic differential equations (SDEs) as mathematical model to describe the spatial-temporal dynamics of predator-prey system in an artificial aquatic environment with schooling behavior imposed upon the…

Dynamical Systems · Mathematics 2022-10-11 Aditya Dewanto Hartono , Linh Thi Hoai Nguyen , Ton Viet Ta

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…

Probability · Mathematics 2017-08-24 Ton Viet Ta , Linh Thi Hoai Nguyen

This study builds upon our previously proposed stochastic differential equation (SDE)-based model to further investigate fish school fragmentation under predation. Specifically, we explore structural dynamics by incorporating…

Quantitative Methods · Quantitative Biology 2025-08-05 Junyi Qi , Thorkil Casse , Masayoshi Harada , Linh Thi Hoai Nguyen , Ton Viet Ta

In open water, social fish gather to form schools, in which fish generally align with each other. In this work, we study how this social behavior evolves when perturbed by artificial obstacles. We measure the collective behavior of a group…

Biological Physics · Physics 2024-07-03 Bruno Ventéjou , Iris Magniez--Papillon , Eric Bertin , Philippe Peyla , Aurélie Dupont

This paper presents a stochastic differential equation model for describing the process of fish schooling. The model equation always possesses a unique local solution, but global existence can be shown only in some particular cases. Some…

Probability · Mathematics 2015-08-28 Takeshi Uchitane , Ta Viet Ton , Atsushi Yagi

This paper conducts a numerical study of a geometrical structure called $\epsilon$-school for predator-avoidance fish schools, based on our previous mathematical model. Our results show that during a predator attack, the number of…

Populations and Evolution · Quantitative Biology 2023-03-06 Aditya Dewanto Hartono , Ton Viet Ta , Linh Thi Hoai Nguyen

Fish schools are able to display a rich variety of collective states and behavioural responses when they are confronted to threats. However a school's response to perturbations may be different depending on its collective state. Here we use…

Quantitative Methods · Quantitative Biology 2015-02-04 Daniel S. Calovi , Ugo Lopez , Paul Schuhmacher , Hugues Chaté , Clément Sire , Guy Theraulaz

Living systems such as neuronal networks and animal groups process information about their environment via the dynamics of interacting units. These can transition between distinct macroscopic behaviors. Near such a transition (or critical…

One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular if there is a danger. Is such a behaviour…

Populations and Evolution · Quantitative Biology 2017-01-04 Usama Kadri , Franz Brümmer , Anan Kadri

We investigate predator-prey school interactions in aquatic environments using a stochastic differential equation (SDE)-based, particle-level model that incorporates attraction, repulsion, alignment, and environmental noise. Two predation…

Populations and Evolution · Quantitative Biology 2025-10-13 Junyi Qi , Ton Viet Ta

Collective motion in animal groups emerges from the interplay between individual variability and social coordination, yet connecting these scales quantitatively has remained a major challenge.Using high-resolution trajectories of schooling…

Other Condensed Matter · Physics 2026-01-15 Elena G. de Lamo , M. Carmen Miguel , Romualdo Pastor-Satorras

Dynamic obstacle avoidance is a popular research topic for autonomous systems, such as micro aerial vehicles and service robots. Accurately evaluating the performance of dynamic obstacle avoidance methods necessitates the establishment of a…

Robotics · Computer Science 2024-04-24 Moji Shi , Gang Chen , Álvaro Serra Gómez , Siyuan Wu , Javier Alonso-Mora

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…

Statistical Mechanics · Physics 2025-08-13 Linh Thi Hoai Nguyen , Ton Viet Ta , Atsushi Yagi

Fish swim by undulating their bodies. These propulsive motions require coordinated shape changes of a body that interacts with its fluid environment, but the specific shape coordination that leads to robust turning and swimming motions…

Quantitative Methods · Quantitative Biology 2021-05-19 Yusheng Jiao , Feng Ling , Sina Heydari , Nicolas Heess , Josh Merel , Eva Kanso

Classifier evasion consists in finding for a given instance $x$ the nearest instance $x'$ such that the classifier predictions of $x$ and $x'$ are different. We present two novel algorithms for systematically computing evasions for tree…

Machine Learning · Computer Science 2016-05-30 Alex Kantchelian , J. D. Tygar , Anthony D. Joseph

We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individual-based model reveal at least three distinct large-scale…

Swimming organisms can escape their predators by creating and harnessing unsteady flow fields through their body motions. Stochastic optimization and flow simulations have identified escape patterns that are consistent with those observed…

Fluid Dynamics · Physics 2021-09-29 Ioannis Mandralis , Pascal Weber , Guido Novati , Petros Koumoutsakos

Behavioral contagion and the presence of behavioral cascades are natural features in groups of animals showing collective motion, such as schooling fish or grazing herbivores. Here we study empirical behavioral cascades observed in fish…

Adaptation and Self-Organizing Systems · Physics 2022-10-14 Julia Mugica , Jordi Torrents , Javier Cristin , Andreu Puy , M. Carmen Miguel , Romualdo Pastor-Satorras

Microswimmers in turbulent flows often navigate complex, heterogeneous, and obstacle-rich environments, where they exhibit intricate behaviors such as trapping at and escape from obstacles. We generalize recent $\mathcal{Q}-$learning…

Fluid Dynamics · Physics 2026-04-14 Vaishnavi Gajendragad , Akanksha Gupta , Nadia Bihari Padhan , Rahul Pandit

Measures of disengagement provide insights into unproductive use of learning opportunities. Although measures of active disengagement, such as gaming the system and mind-wandering, are well studied, loss of practice time due to outright…

Computers and Society · Computer Science 2026-04-29 Ashish Gurung , Jordan Gutterman , Danielle R. Thomas , Mingyu Feng , Vincent Aleven , Kenneth R. Koedinger
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