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Consumers face numerous risks that can be minimized by incorporating different life-history strategies. How much and when a consumer adds to its energetic reserves or invests in reproduction are key behavioral and physiological adaptations…

Populations and Evolution · Quantitative Biology 2022-10-12 Uttam Bhat , Christopher P. Kempes , Justin D. Yeakel

The paper proposes a novel nature-inspired technique of optimization. It mimics the perching nature of eagles and uses mathematical formulations to introduce a new addition to metaheuristic algorithms. The nature of the proposed algorithm…

Neural and Evolutionary Computing · Computer Science 2018-07-10 Ameer Tamoor Khan , Shuai Li Senior , Predrag S. Stanimirovic , Yinyan Zhang

We consider the interacting particle system on the homogeneous tree of degree $(d + 1)$, known as frog model. In this model, active particles perform independent random walks, awakening all sleeping particles they encounter, and dying after…

Probability · Mathematics 2019-12-09 Elcio Lebensztayn , Jaime Utria

We study a system of simple random walks on graphs, known as frog model. This model can be described as follows: There are active and sleeping particles living on some graph G. Each active particle performs a simple random walk with…

Probability · Mathematics 2019-03-05 O. S. M. Alves , F. P. Machado , S. Yu. Popov

Sea urchin feeding fronts are a striking example of spatial pattern formation in an ecological system. If it is assumed that urchins are asocial, and that they move randomly, then the formation of these dense fronts is an apparent paradox.…

Populations and Evolution · Quantitative Biology 2007-05-23 Edward R Abraham

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

Populations and Evolution · Quantitative Biology 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

Animals live in groups to defend against predation and to obtain food. However, for some animals --- especially ones that spend long periods of time feeding --- there are costs if a group chooses to move on before their nutritional needs…

Populations and Evolution · Quantitative Biology 2017-07-21 Kelum Gajamannage , Erik M. Bollt , Mason A. Porter , Marian S. Dawkins

This paper presents an extension of Keller's classical model to address the dynamics of long-distance trail running, a sport characterized by varying terrains, changing elevations, and the critical influence of in-race nutrition uptake. The…

Optimization and Control · Mathematics 2024-01-08 Bogna Jaszczak , Łukasz Płociniczak

This article introduces the Fuzzy Hunter Optimizer (FHO), a novel metaheuristic inspired by L\'evy diffuse visibility walk observed in predatory species and even in human behavior during the search for sustenance. To address a constrained…

Optimization and Control · Mathematics 2023-09-26 Matías Ezequiel Hernández Rodríguez

Foraging is crucial for animals to survive. Many species forage in groups, as individuals communicate to share information about the location of available resources. For example, eusocial foragers, such as honey bees and many ants, recruit…

Populations and Evolution · Quantitative Biology 2023-08-02 Hyunjoong Kim , Yoichiro Mori , Joshua B Plotkin

We consider a stationary prey in a given region of space and we aim at detecting optimal foraging strategies. On the one hand, when the prey is uniformly distributed, the best possible strategy for the forager is to be stationary and…

Optimization and Control · Mathematics 2025-08-20 Serena Dipierro , Giovanni Giacomin , Enrico Valdinoci

In nature, flocking or swarm behavior is observed in many species as it has beneficial properties like reducing the probability of being caught by a predator. In this paper, we propose SELFish (Swarm Emergent Learning Fish), an approach…

Multiagent Systems · Computer Science 2019-05-13 Carsten Hahn , Thomy Phan , Thomas Gabor , Lenz Belzner , Claudia Linnhoff-Popien

Using a simple model for the trail formation of ants, the relation between i)the schedule of feeding which represents the unsteady natural environment, ii)emerging patterns of trails connecting a nest with food resources, and iii)the…

Populations and Evolution · Quantitative Biology 2009-11-10 Tomomi Tao , Hiroyuki Nakagawa , Masato Yamasaki , Hiraku Nishimori

When a small number of individuals of organism of single species is confined in a closed space with limited amount of indispensable resources, their breading may start initially under suitable conditions, and after peaking, the population…

adap-org · Physics 2007-05-23 Ryoitiro Huzimura , Toyoki Matsuyama

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

Despite the fact that grouping behavior has been actively studied for over a century, the relative importance of the numerous proposed fitness benefits of grouping remain unclear. We use a digital model of evolving prey under simulated…

Populations and Evolution · Quantitative Biology 2015-11-18 Randal S. Olson , Patrick B. Haley , Fred C. Dyer , Christoph Adami

We consider a mortal random walker on a family of hierarchical graphs in the presence of some trap sites. The configuration comprising the graph, the starting point of the walk, and the locations of the trap sites is taken to be exactly…

Statistical Mechanics · Physics 2019-06-19 V. Balakrishnan , E. Abad , T. Abil , J. J. Kozak

We study the kinetics for the search of an immobile target by randomly moving searchers that detect it only upon encounter. The searchers perform intermittent random walks on a one-dimensional lattice. Each searcher can step on a nearest…

Statistical Mechanics · Physics 2015-05-14 Gleb Oshanin , Katja Lindenberg , Horacio S Wio , Sergei Burlatsky

How do social animals make effective decisions in the absence of a leader? While coordination can improve accuracy, it also introduces delays as information propagates through the group. In changing environments, these delays can outweigh…

Populations and Evolution · Quantitative Biology 2026-02-13 Hyunjoong Kim , Zachary Kilpatrick , Kresimir Josic

Patch foraging involves the deliberate and planned process of determining the optimal time to depart from a resource-rich region and investigate potentially more beneficial alternatives. The Marginal Value Theorem (MVT) is frequently used…

Artificial Intelligence · Computer Science 2025-12-30 Yesid Fonseca , Manuel S. Ríos , Nicanor Quijano , Luis F. Giraldo