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Related papers: A minimal model of predator-swarm interactions

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Camouflage in nature seems to arise from competition between predator and prey. To survive, predators must find prey, and prey must avoid being found. This work simulates an abstract model of that adversarial relationship. It looks at…

Graphics · Computer Science 2025-02-17 Craig Reynolds

The existence of beyond mean field quasi-cycle oscillations in a simple spatial model of predator prey interactions is derived from a path integral formalism. The results agree substantially with those obtained from analysis of similar…

Populations and Evolution · Quantitative Biology 2009-11-13 Thomas Butler , David Reynolds

We present a spatial, individual-based predator-prey model in which dispersal is dependent on the local community. We determine species suitability to the biotic conditions of their local environment through a time and space varying fitness…

Populations and Evolution · Quantitative Biology 2008-07-21 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

This paper investigates a dynamical predator-prey interaction model that incorporates: (a) hunting cooperation among predators; (b) Allee effect in prey. We show all possible boundary and interior solutions. In order to analyze the…

Dynamical Systems · Mathematics 2019-12-03 Aaditya Kharel , Zhifu Xie , Huiqing Zhu , Michelle McCullum , Nick Burks

We consider a general swarm model of self-propelling agents interacting through a pairwise potential in the presence of noise and communication time delay. Previous work [Phys. Rev. E 77, 035203(R) (2008)] has shown that a communication…

Adaptation and Self-Organizing Systems · Physics 2012-05-02 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Multi-swarm systems, where two or more swarms of mobile agents occupy the same region of space with different parameters and goals, occur in a variety of biological, engineering, and defense applications. Composites of multiple swarms can…

Adaptation and Self-Organizing Systems · Physics 2026-03-13 Jason Hindes , Chinthan B. Prasad , Loy McGuire , Ira B. Schwartz

Social hierarchy is central to decision-making in the coordinated movement of many swarming species. Here we propose a hierarchical swarm model in the spirit of the Vicsek model of self-propelled particles. We show that, as the hierarchy…

Biological Physics · Physics 2020-10-28 Tingting Xue , Xu Li , Peter Grassberger , Li Chen

We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

Physics and Society · Physics 2019-04-23 Yongnan Jia , Tamas Vicsek

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

The broad application range of the predator-prey modelling enabled us to apply it to represent the dynamics of the work-employment system. For the adopted period, we conclude that this dynamics is chaotic in the beginning of the time series…

Computational Engineering, Finance, and Science · Computer Science 2011-03-21 Nilo Serpa , Jose Roberto Steiner

We develop a set of equations to describe the population dynamics of many interacting species in food webs. Predator-prey interactions are non-linear, and are based on ratio-dependent functional responses. The equations account for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Barbara Drossel , Paul G. Higgs , Alan J. McKane

Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover, in each generation the number of individuals of each…

Probability · Mathematics 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

Moving animal groups consist of many distinct individuals but can operate and function as one unit when performing different tasks. Effectively evading unexpected predator attacks is one primary task for many moving groups. The current…

Quantitative Methods · Quantitative Biology 2025-09-16 Daniel Strömbom , Catherine Futterman

We consider a Rosenzweig-MacArthur predator-prey system which incorporates logistic growth of the prey in the absence of predators and a Holling type II functional response for interaction between predators and preys. We assume that…

Dynamical Systems · Mathematics 2017-02-16 Niklas L. P. Lundström , Gunnar Söderbacka

Interactions in biology and social systems are not restricted to pairwise but can take arbitrary sizes. Extensive studies have revealed that the arbitrary-sized interactions significantly affect the spreading dynamics on networked systems.…

Physics and Society · Physics 2021-05-19 Wenyao Li , Xiaoyu Xue , Liming Pan , Tao Lin , Wei Wang

Stochastic, spatially extended models for predator-prey interaction display spatio-temporal structures that are not captured by the Lotka-Volterra mean-field rate equations. These spreading activity fronts reflect persistent correlations…

Statistical Mechanics · Physics 2024-05-09 Uwe C. Täuber

We investigate a diffusive predator-prey model by incorporating the fear effect into prey population, since the fear of predators could visibly reduce the reproduction of prey. By introducing the mature delay as bifurcation parameter, we…

Dynamical Systems · Mathematics 2019-05-01 Daifeng Duan , Ben Niu , Junjie Wei

Social interaction increases significantly the performance of a wide range of cooperative systems. However, evidence that natural swarms limit the number of social connections suggests potentially detrimental consequences of excessive…

Adaptation and Self-Organizing Systems · Physics 2016-09-09 David Mateo , Yoke Kong Kuan , Roland Bouffanais

Swarming is a conspicuous behavioural trait observed in bird flocks, fish shoals, insect swarms and mammal herds. It is thought to improve collective awareness and offer protection from predators. Many current models involve the hypothesis…

Quantitative Methods · Quantitative Biology 2015-06-22 Daniel J. G. Pearce , A. M. Miller , George Rowlands , Matthew S. Turner

We study the limits of linear modeling of swarm behavior by characterizing the inflection point beyond which linear models of swarm collective behavior break down. The problem we consider is a central place object gathering task. We design…

Robotics · Computer Science 2022-02-01 John Harwell , Angel Sylvester , Maria Gini
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