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We introduce the \emph{frugal foraging} model in which a forager performs a discrete-time random walk on a lattice, where each site initially contains $\mathcal{S}$ food units. The forager metabolizes one unit of food at each step and…

Physics and Society · Physics 2018-02-13 O. Benichou , U. Bhat , P. L. Krapivsky , S. Redner

We study the dynamics of a \emph{myopic} forager that randomly wanders on a lattice in which each site contains one unit of food. Upon encountering a food-containing site, the forager eats all the food at this site with probability $p<1$;…

Statistical Mechanics · Physics 2018-07-17 C. L. Rager , U. Bhat , O. Bénichou , S. Redner

We investigate the dynamics of a greedy forager that moves by random walking in an environment where each site initially contains one unit of food. Upon encountering a food-containing site, the forager eats all the food there and can…

Populations and Evolution · Quantitative Biology 2017-07-31 U. Bhat , S. Redner , O. Benichou

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

We study the fate of a forager who searches for food performing a random walk on lattices. The forager consumes the available food on the site it visits and leaves it depleted but can survive up to $S$ steps without food. We introduce the…

Statistical Mechanics · Physics 2026-04-02 Md Aquib Molla , Sanchari Goswami , Parongama Sen

Modeling foraging via basic models is a problem that has been recently investigated from several points of view. However, understanding the effect of the spatial distribution of food on the lifetime of a forager has not been achieved yet.…

Physics and Society · Physics 2021-01-20 Hillel Sanhedrai , Yafit Maayan

We study the starvation of a lattice random walker in which each site initially contains one food unit and the walker can travel $\mathcal{S}$ steps without food before starving. When the walker encounters food, the food is completely…

Statistical Mechanics · Physics 2014-12-10 Olivier Benichou , S. Redner

We determine the impact of resource renewal on the lifetime of a forager that depletes its environment and starves if it wanders too long without eating. In the framework of the minimal starving random walk model with resource renewal,…

Populations and Evolution · Quantitative Biology 2016-03-23 M. Chupeau , O. Bénichou , S. Redner

Understanding how an extinction event affects ecosystem is fundamental to biodiversity conservation. For this reason, food web response to species loss has been investigated in several ways in the last years. Several studies focused on…

Populations and Evolution · Quantitative Biology 2011-11-07 Michele Bellingeri

We analyze the movement of a starving forager on a one-dimensional periodic lattice, where each location contains one unit of food. As the forager lands on sites with food, it consumes the food, leaving the sites empty. If the forager lands…

Populations and Evolution · Quantitative Biology 2018-11-28 Nikhil Krishnan , Zachary P. Kilpatrick

We study a simple model of a foraging animal that modifies the substrate on which it moves. This substrate provides its only resource, and the forager manage it by taking a limited portion at each visited site. The resource recovers its…

Populations and Evolution · Quantitative Biology 2016-11-23 Laila Daniela Kazimierski , Guillermo Abramson , Marcelo Néstor Kuperman

We study the dynamics of a starving random walk in general spatial dimension $d$. This model represents an idealized description for the fate of an unaware forager whose motion is not affected by the presence or absence of resources. The…

Statistical Mechanics · Physics 2016-11-15 O. Bénichou , M. Chupeau , S. Redner

We study a greedy forager who consumes food throughout a region. If the forager does not eat any food for $S$ time steps it dies. We assume that the forager moves preferentially in the direction of greatest smell of food. Each food item in…

Physics and Society · Physics 2019-06-13 Hillel Sanhedrai , Yafit Maayan , Louis Shekhtman

We introduce an idealized model of an intelligent forager in which higher intelligence corresponds to a larger spatial range over which the forager can detect food. Such a forager diffuses randomly whenever the nearest food is more distant…

Biological Physics · Physics 2022-03-11 U. Bhat , S. Redner

We study a simple model of a forager as a walk that modifies a relaxing substrate. Within it simplicity, this provides an insight on a number of relevant and non-intuitive facts. Even without memory of the good places to feed and no…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Guillermo Abramson , Marcelo N Kuperman , Juan M Morales , Joel C Miller

In group foraging situations, the conventional expectation is that increased food availability would enhance consumption, especially when animals prioritize maximizing their food intake. This paper challenges this conventional wisdom by…

Computer Science and Game Theory · Computer Science 2023-07-12 Robin Vacus , Amos Korman

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

Artificially evolving foraging behavior in simulated legged animals has proved to be a notoriously difficult task. Here, we co-evolve the morphology and controller for virtual organisms in a three-dimensional physically realistic…

Neural and Evolutionary Computing · Computer Science 2011-12-22 Nicolas Chaumont , Christoph Adami

Body size drives the energetic demands of organisms, constraining trophic interactions between species and playing a significant role in shaping the feasibility of species' populations in a community. On macroevolutionary timescales, these…

Populations and Evolution · Quantitative Biology 2025-02-20 Justin D. Yeakel , Matthew C. Hutchinson , Christopher P. Kempes , Paul L. Koch , Jacquelyn L. Gill , Mathias M. Pires

Species sharing a habitat will co-evolve to make use of the available resources, as consumption is modulated by competition and negative feedback loops between consumers and resources. The dietary range of a given species determines the…

Populations and Evolution · Quantitative Biology 2026-05-28 Elliot M. Butterworth , Tim Rogers
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