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This paper introduces a linear state-space model with time-varying dynamics. The time dependency is obtained by forming the state dynamics matrix as a time-varying linear combination of a set of matrices. The time dependency of the weights…

Machine Learning · Statistics 2014-10-06 Jaakko Luttinen , Tapani Raiko , Alexander Ilin

The spatio-temporal dynamics of three interacting species, two preys and one predator, in the presence of two different kinds of noise sources is studied. To describe the spatial distributions of the species we use a model based on…

Statistical Mechanics · Physics 2009-11-13 Davide Valenti , Bernardo Spagnolo

Mathematical modeling and analysis of spatial-temporal population distributions of interacting species have gained significant attention in biology and ecology in recent times. In this work, we investigate a Bazykin-type prey-predator model…

Dynamical Systems · Mathematics 2023-06-22 Subrata Dey , Malay Banerjee , S. Ghorai

Movement drives the spread of infectious disease, gene flow, and other critical ecological processes. To study these processes we need models for movement that capture complex behavior that changes over time and space in response to biotic…

Applications · Statistics 2016-06-28 Ephraim M. Hanks , David A. Hughes

Information transfer is an essential factor in determining the robustness of collective behaviour in biological systems with distributed control. The most direct way to study the information transfer mechanisms is to experimentally detect…

Statistical Mechanics · Physics 2016-12-21 Andrea Cavagna , Daniele Conti , Irene Giardina , Tomas S. Grigera , Stefania Melillo , Massimiliano Viale

Naturalistic animal behavior exhibits a strikingly complex organization in the temporal domain, whose variability stems from at least three sources: hierarchical, contextual, and stochastic. What are the neural mechanisms and computational…

Neurons and Cognition · Quantitative Biology 2022-03-07 Luca Mazzucato

Although animal locations gained via GPS, etc. are typically observed on a discrete time scale, movement models formulated in continuous time are preferable in order to avoid the struggles experienced in discrete time when faced with…

Methodology · Statistics 2017-04-05 Alison Parton , Paul G. Blackwell , Anna Skarin

The brain-body-environment framework studies adaptive behavior through embodied and situated agents, emphasizing interactions between brains, biomechanics, and environmental dynamics. However, many models often treat the brain as a network…

Neurons and Cognition · Quantitative Biology 2025-10-01 Denizhan Pak , Quan Le Thien , Christopher J. Agostino

We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model by a low-dimensional system of equations permitting analytical…

Disordered Systems and Neural Networks · Physics 2011-07-15 Cristián Huepe , Gerd Zschaler , Anne-Ly Do , Thilo Gross

In this paper, we consider the problem of deploying a robot from a specification given as a temporal logic statement about some properties satisfied by the regions of a large, partitioned environment. We assume that the robot has noisy…

Robotics · Computer Science 2012-02-24 Xu Chu Ding , Jing Wang , Morteza Lahijanian , Ioannis Ch. Paschalidis , Calin A. Belta

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

Effects of externally imposed periodic changes in the environment on population dynamics are studied with the help of a simple model. The environmental changes are represented by the temporal and spatial dependence of the competition terms…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 M. Ballard , V. M. Kenkre , M. N. Kuperman

Predicting the outcomes of cyber-physical systems with multiple human interactions is a challenging problem. This article reviews a game theoretical approach to address this issue, where reinforcement learning is employed to predict the…

Multiagent Systems · Computer Science 2019-10-14 Mert Albaba , Yildiray Yildiz

The objective of this work is to expand upon previous works, considering socially acceptable behaviours within robot navigation and interaction, and allow a robot to closely approach static and dynamic individuals or groups. The space…

Robotics · Computer Science 2023-10-17 Ricarte Ribeiro , Plinio Moreno

This contribution introduces an element of "aggressiveness" into the Floor-Field based model with adaptive time-span. The aggressiveness is understood as an ability to win conflicts and push through the crowd. From experiments it is…

Multiagent Systems · Computer Science 2016-04-11 Pavel Hrabák , Marek Bukáček

Mechanistic statistical models are commonly used to study the flow of biological processes. For example, in landscape genetics, the aim is to infer spatial mechanisms that govern gene flow in populations. Existing statistical approaches in…

Methodology · Statistics 2024-06-04 Michael R Schwob , Mevin B Hooten , Vagheesh Narasimhan

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

We study a mathematical model of environments populated by both preys and predators, with the possibility for predators to actively compete for the territory. For this model we study existence and uniqueness of solutions, and their…

Analysis of PDEs · Mathematics 2022-12-06 Henri Berestycki , Alessandro Zilio

There is a broad recognition that commitment-based mechanisms can promote coordination and cooperative behaviours in both biological populations and self-organised multi-agent systems by making individuals' intentions explicit prior to…

Computer Science and Game Theory · Computer Science 2025-09-15 Ndidi Bianca Ogbo , Zhao Song , The Anh Han

Learning the continuous dynamics of a system from snapshots of its temporal marginals is a problem which appears throughout natural sciences and machine learning, including in quantum systems, single-cell biological data, and generative…

Machine Learning · Computer Science 2023-06-12 Kirill Neklyudov , Rob Brekelmans , Daniel Severo , Alireza Makhzani