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The formation of out-of-equilibrium patterns is a characteristic feature of spatially-extended, biodiverse, ecological systems. Intriguing examples are provided by cyclic competition of species, as metaphorically described by the…

Populations and Evolution · Quantitative Biology 2008-08-31 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

The spatio-temporal arrangement of interacting populations often influences the maintenance of species diversity and is a subject of intense research. Here, we study the spatio-temporal patterns arising from the cyclic competition between…

Populations and Evolution · Quantitative Biology 2014-09-10 Bartosz Szczesny , Mauro Mobilia , Alastair M. Rucklidge

Spatially extended population dynamics models that incorporate intrinsic noise serve as case studies for the role of fluctuations and correlations in biological systems. Including spatial structure and stochastic noise in predator-prey…

Statistical Mechanics · Physics 2018-01-09 Ulrich Dobramysl , Mauro Mobilia , Michel Pleimling , Uwe C. Täuber

Social dilemmas concern a natural conflict between cooperation and self interests among individuals in large populations. The emergence of cooperation and its maintenance is the key for the understanding of fundamental concepts about the…

Physics and Society · Physics 2016-10-26 Pablo A. Valverde , Roberto da Silva , Eduardo V. Stock

In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships, in the context of cyclic predator-prey models with an even number of species $N \ge 8$. We use…

Biological Physics · Physics 2014-04-22 P. P. Avelino , D. Bazeia , L. Losano , J. Menezes , B. F. Oliveira

In a static environment, optional participation and a local agglomeration of cooperators are found to be beneficial for the occurrence and maintenance of cooperation. In the optional public goods game, the rock-scissors-paper cycles of…

Physics and Society · Physics 2015-06-05 Li-Xin Zhong , Wen-Juan Xu , Yong-Dong Shi , Tian Qiu

We study the spatial rock-paper-scissors model, where resource competitors' cyclic dominance impacts organisms' energy levels. Our model assumes that failed selection interactions can lead to energy loss, reducing the chances of success in…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , E. Rangel

In this communication, a simple mechanism in the optional public goods game is experimentally investigated using two experimental settings; and first time, the cyclic strategy pattern in full state space is demonstrated by means of…

Physics and Society · Physics 2014-06-17 Bin Xu

We investigate the adaptive Ambush strategy in cyclic models following the rules of the spatial rock-paper-scissors game. In our model, individuals of one species possess cognitive abilities to perceive environmental cues and assess the…

Populations and Evolution · Quantitative Biology 2025-10-21 J. Menezes , R. Barbalho

We consider the model of spatially distributed population consisting of two species with "\textsl{predator\,--\,prey}" interaction; each of the species occupies two stations. Transfer of individuals between the stations (migration) is not…

Populations and Evolution · Quantitative Biology 2014-05-13 Michael G. Sadovsky , Maria Yu. Senashova

Cyclic predator-prey models with four or six species are studied on a square lattice when the invasion rates are varied. It is found that the cyclic invasions maintain a self-organizing pattern as long as the deviation of the invasion…

Populations and Evolution · Quantitative Biology 2008-01-21 Gyorgy Szabo , Attila Szolnoki

We study a three-species cyclic game system where organisms face a contagious disease whose virulence may change by a pathogen mutation. As a responsive defence strategy, organisms' mobility is restricted to reduce disease dissemination in…

Populations and Evolution · Quantitative Biology 2022-12-27 J. Menezes , S. Batista , E. Rangel

We study the generalised rock-paper-scissors game with five species whose organisms face local epidemic outbreaks. As an evolutionary behavioural survival strategy, organisms of one out of the species move in the direction with more enemies…

Populations and Evolution · Quantitative Biology 2022-12-29 J. Menezes , B. Moura , E. Rangel

We study a spatial cyclic predator-prey model with an even number of species (for n=4, 6, and 8) that allows the formation of two defective alliances consisting of the even and odd label species. The species are distributed on the sites of…

Biological Physics · Physics 2008-01-21 Gyorgy Szabo , Attila Szolnoki , Gustavo Ariel Sznaider

This paper studies scenarios of cyclic dominance in a coevolutionary spatial model in which game strategies and links between agents adaptively evolve over time. The Optional Prisoner's Dilemma (OPD) game is employed. The OPD is an extended…

Computer Science and Game Theory · Computer Science 2017-02-15 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

We study a set of six-species ecological models where each species has two predators and two preys. On a square lattice the time evolution is governed by iterated invasions between the neighboring predator-prey pairs chosen at random and by…

Populations and Evolution · Quantitative Biology 2009-11-10 Gyorgy Szabo

The rock-paper-scissors game is a model example of the on-going cyclic turnover typical of many ecosystems, ranging from the terrestrial and aquatic to the microbial. Here we explore the evolution of a rock-paper-scissors system where three…

Populations and Evolution · Quantitative Biology 2012-06-29 Jeppe Juul , Kim Sneppen , Joachim Mathiesen

We study the role of the adaptive movement strategy in promoting biodiversity in cyclic models described by the rock-paper-scissors game rules. We assume that individuals of one out of the species may adjust their movement to escape hostile…

Populations and Evolution · Quantitative Biology 2022-12-27 J. Menezes , M. Tenorio , E. Rangel

The spatial rock-paper-scissors ecosystem, where three species interact cyclically, is a model example of how spatial structure can maintain biodiversity. We here consider such a system for a broad range of interaction rates. When one…

Biological Physics · Physics 2013-06-21 Jeppe Juul , Kim Sneppen , Joachim Mathiesen

Climate changes may affect ecosystems destabilising relationships among species. We investigate the spatial rock-paper-scissors models with a regional unevenness that reduces the selection capacity of organisms of one species. Our results…

Populations and Evolution · Quantitative Biology 2023-06-06 J. Menezes , M. Tenorio