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1. Predicting space use patterns of animals from their interactions with the environment is fundamental for understanding the effect of habitat changes on ecosystem functioning. Recent attempts to address this problem have sought to unify…

Quantitative Methods · Quantitative Biology 2015-01-23 Jonathan R. Potts , Guillaume Bastille-Rousseau , Dennis L. Murray , James A. Schaefer , Mark A. Lewis

A novel mathematical framework is proposed to describe the ecological and evolutionary consequences of consumer--resource interactions. Both the consumer and resource are assumed to consist of several (sub)species, which interact between…

Populations and Evolution · Quantitative Biology 2025-11-11 Alexander S. Bratus , Sergei V. Drozhzhin , Artem S. Novozhilov

The foraging behavior of animals is a paradigm of target search in nature. Understanding which foraging strategies are optimal and how animals learn them are central challenges in modeling animal foraging. While the question of optimality…

Statistical Mechanics · Physics 2024-04-15 Gorka Muñoz-Gil , Andrea López-Incera , Lukas J. Fiderer , Hans J. Briegel

Collective animal movement fascinates children and scientists alike. One of the most commonly given explanations for collective animal movement is improved foraging. Animals are hypothesized to gain from searching for food in groups. Here,…

Multiagent Systems · Computer Science 2019-04-08 Ravid Cohen , Yossi Yovel , Dan Halperin

Strongly non-Markovian random walks offer a promising modeling framework for understanding animal and human mobility, yet, few analytical results are available for these processes. Here we solve exactly a model with long range memory where…

Statistical Mechanics · Physics 2015-06-19 Denis Boyer , Citlali Solis-Salas

Self-interacting random walks are endowed with long range memory effects that emerge from the interaction of the random walker at time $t$ with the territory that it has visited at earlier times $t'<t$. This class of non Markovian random…

Statistical Mechanics · Physics 2021-09-28 Alex Barbier--Chebbah , Olivier Benichou , Raphael Voituriez

We introduce range-controlled random walks with hopping rates depending on the range $\mathcal{N}$, that is, the total number of previously distinct visited sites. We analyze a one-parameter class of models with a hopping rate…

Statistical Mechanics · Physics 2023-10-16 L. Régnier , O. Bénichou , P. L. Krapivsky

Theory purports that animal foraging choices evolve to maximize returns, such as net energy intake. Empirical research in both human and nonhuman animals reveals that individuals often attend to the foraging choices of their competitors…

Populations and Evolution · Quantitative Biology 2013-01-31 Serguei Saavedra , R. Dean Malmgren , Nicholas Switanek , Brian Uzzi

Living in groups brings benefits to many animals, such as a protection against predators and an improved capacity for sensing and making decisions while searching for resources in uncertain environments. A body of studies has shown how…

Populations and Evolution · Quantitative Biology 2019-01-23 Andrea Falcón-Cortés , Denis Boyer , Gabriel Ramos-Fernández

How to best exploit patchy resources? This long-standing question belongs to the extensively studied class of explore/exploit problems that arise in a wide range of situations, from animal foraging, to robotic exploration, and to human…

Populations and Evolution · Quantitative Biology 2017-01-31 M. Chupeau , O. Benichou , S. Redner

Foraging is a widespread behavior, and being part of a group may bring several benefits compared to solitary foraging, such as collective pooling of information and reducing environmental uncertainty. Often theoretical models of collective…

Biological Physics · Physics 2024-12-05 Lisa Blum Moyse , Ahmed El Hady

We investigate the role of greed on the lifetime of a random-walking forager on an initially resource-rich lattice. Whenever the forager lands on a food-containing site, all the food there is eaten and the forager can hop $\mathcal{S}$ more…

Populations and Evolution · Quantitative Biology 2017-06-22 U. Bhat , S. Redner , O. Benichou

Community assembly is studied using individual-based multispecies models. The models have stochastic population dynamics with mutation, migration, and extinction of species. Mutants appear as a result of mutation of the resident species,…

Populations and Evolution · Quantitative Biology 2010-05-18 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

Social foraging is a widespread form of animal foraging in which groups of individuals coordinate their decisions to exploit resources in the environment. Animals show a variety of social structures from egalitarian to hierarchical. In this…

Populations and Evolution · Quantitative Biology 2025-03-05 Lisa Blum Moyse , Ahmed El Hady

We introduce a diffusion model for energetically inhomogeneous systems. A random walker moves on a spin-S Ising configuration, which generates the energy landscape on the lattice through the nearest-neighbors interaction. The underlying…

Statistical Mechanics · Physics 2008-06-17 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

A canonical foraging task is the patch-leaving problem, in which a forager must decide to leave a current resource in search for another. Theoretical work has derived optimal strategies for when to leave a patch, and experiments have tested…

Neurons and Cognition · Quantitative Biology 2019-12-03 Jacob D. Davidson , Ahmed El Hady

In empirical studies of random walks, continuous trajectories of animals or individuals are usually sampled over a finite number of points in space and time. It is however unclear how this partial observation affects the measured…

Physics and Society · Physics 2018-03-13 Riccardo Gallotti , Rémi Louf , Jean-Marc Luck , Marc Barthelemy

Unraveling patterns of animals' movements is important for understanding the fundamental basics of biogeography, tracking range shifts resulting from climate change, predicting and preventing biological invansions. Many researchers have…

Populations and Evolution · Quantitative Biology 2020-04-20 Nikolay Markov , Evgeny Ivanko

Foraging and acquiring of food is a delicate balance between managing the costs, both energy and social, and individual preferences. Previous research on the solitary foraging of free ranging dogs showed that they prioritized the…

Essential to each other, growth and exploration are jointly observed in populations, be it alive such as animals and cells or inanimate such as goods and money. But their ability to move, crucial to cope with uncertainty and optimize…

Statistical Mechanics · Physics 2020-10-06 Thomas Gueudré , David Martin