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Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we…

Populations and Evolution · Quantitative Biology 2012-06-12 Jens Christian Claussen , Arne Traulsen

In this letter, we investigate the population dynamics in a May-Leonard formulation of the rock-paper-scissors game in which one or two species, which we shall refer to as "weak", have a reduced predation or reproduction probability. We…

Populations and Evolution · Quantitative Biology 2021-08-11 P. P. Avelino , B. F. de Oliveira , R. S. Trintin

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

We analyze the replicator-mutator equations for the Rock-Paper-Scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global…

Dynamical Systems · Mathematics 2015-06-11 Danielle F. P. Toupo , Steven H. Strogatz

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

Populations of species in ecosystems are often constrained by availability of resources within their environment. In effect this means that a growth of one population, needs to be balanced by comparable reduction in populations of others.…

Populations and Evolution · Quantitative Biology 2016-02-17 Sergei Maslov , Kim Sneppen

Rock-paper-scissors (RPS) game is a nice model to study the biodiversity in ecosystem. However, the previous studies only consider the nearest- neighbor- interaction among the species. In this paper, taking the long range migration into…

Biological Physics · Physics 2012-02-15 Dong Wang , Qian Zhuang , Jing Zhang , Zengru Di

When faced with an imminent risk of predation, many animals react to escape consumption. Antipredator strategies are performed by individuals acting as a group to intimidate predators and minimize the damage when attacked. We study the…

Populations and Evolution · Quantitative Biology 2021-06-02 J. Menezes

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

Population structure induced by both spatial embedding and more general networks of interaction, such as model social networks, have been shown to have a fundamental effect on the dynamics and outcome of evolutionary games. These effects…

Populations and Evolution · Quantitative Biology 2009-11-13 Gergely J Szollosi , Imre Derenyi

We study a three-species cyclic model whose organisms are vulnerable to contamination with an infectious disease which propagates person-to-person. We consider that individuals of one species perform an evolutionary self-preservation…

Populations and Evolution · Quantitative Biology 2024-06-05 J. Menezes

There is mounting evidence that species interactions often involve long-term memory, with highly-varying waiting times between successive events and long-range temporal correlations. Accounting for memory undermines the common Markovian…

Populations and Evolution · Quantitative Biology 2025-11-24 Ohad Vilk , Mauro Mobilia , Michael Assaf

Dispersal is a well recognized driver of ecological and evolutionary dynamics, and simultaneously an evolving trait. Dispersal evolution has traditionally been studied in single-species metapopulations so that it remains unclear how…

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

Populations and Evolution · Quantitative Biology 2020-02-19 M. M. Tehrani , S. Soltanieh

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

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 study a system of self-propelled, proliferating finite-size disks with game-theoretical interactions, where growth rates depend on local population composition. We analyze how these interactions influence spatial distribution,…

Populations and Evolution · Quantitative Biology 2025-03-05 Alejandro Almodóvar , Tobias Galla , Cristóbal López

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

Populations and Evolution · Quantitative Biology 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

We explore how strategic leaps alter the classic rock-paper-scissors dynamics in spatially structured populations. In our model, individuals can expend energy reserves to jump toward regions with a high density of individuals of the species…

Populations and Evolution · Quantitative Biology 2025-06-23 J. Menezes , R. Barbalho , Y. Sun

We investigate the formation of stable ecological networks where many species share the same resource. We show that such stable ecosystem naturally occurs as a result of extinctions. We obtain an analytical relation for the number of…

Populations and Evolution · Quantitative Biology 2017-04-05 V. Kozlov , S. Vakulenko , U. Wennergren