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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

Biodiversity is essential to the viability of ecological systems. Species diversity in ecosystems is promoted by cyclic, non-hierarchical interactions among competing populations. Such non-transitive relations lead to an evolution with…

Populations and Evolution · Quantitative Biology 2008-04-09 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

Organisms may respond to local stimuli that benefit or threaten their fitness. The adaptive movement behaviour may allow individuals to adjust their speed to maximise the chances of being in comfort zones, where death risk is minimal. We…

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

We model a situation in which a collection of species derive their fitnesses via a rock-paper-scissors-type game; however, the precise payoffs are a function of the environment. The new aspect of our model lies in adding a feedback loop:…

Dynamical Systems · Mathematics 2017-11-01 Tung Mai , Ioannis Panageas , Will Ratcliff , Vijay V. Vazirani , Peter Yunker

This work deals with the influence of the neighborhood in simple rock-paper-scissors models of biodiversity. We consider the case of three distinct species which evolve under the standard rules of mobility, reproduction and competition. The…

Populations and Evolution · Quantitative Biology 2021-11-25 D. Bazeia , M. Bongestab , B. F. de Oliveira

This work reports on two related investigations of stochastic simulations which are widely used to study biodiversity and other related issues. We first deal with the behavior of the Hamming distance under the increase of the number of…

Populations and Evolution · Quantitative Biology 2017-11-29 D. Bazeia , J. Menezes , B. F. de Oliveira , J. G. G. S. Ramos

We investigate a tritrophic system whose cyclic dominance is modelled by the rock-paper-scissors game. We consider that organisms of one or two species are affected by movement limitations, which unbalances the cyclic spatial game.…

Populations and Evolution · Quantitative Biology 2023-03-13 J. Menezes , S. Rodrigues , S. Batista

In the evolutionary dynamics of a rock-paper-scissor (RPS) model, the effect of natural death plays a major role in determining the fate of the system. Coexistence, being an unstable fixed point of the model becomes very sensitive towards…

Statistical Mechanics · Physics 2022-01-31 Sahil Islam , Argha Mondal , Mauro Mobilia , Sirshendu Bhattacharyya , Chittaranjan Hens

As the behavior of a system composed of cyclically competing species is strongly influenced by the presence of fluctuations, it is of interest to study cyclic dominance in low dimensions where these effects are the most prominent. We here…

Populations and Evolution · Quantitative Biology 2015-05-18 Siddharth Venkat , Michel Pleimling

We investigate a tritrophic system in which organisms' energy depletion, resulting from failed selection attempts, leads to a partial loss of capacity to win the cyclic spatial game. The energy required to maintain optimal organism fitness…

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

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

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

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

The spatial segregation of species is fundamental to ecosystem formation and stability. Behavioural strategies may determine where species are located and how their interactions change the local environment arrangement. In response to…

Populations and Evolution · Quantitative Biology 2021-03-23 B. Moura , J. Menezes

This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly…

Populations and Evolution · Quantitative Biology 2025-05-08 D. Bazeia , M. J. B. Ferreira , B. F. de Oliveira , W. A. dos Santos

Understanding the mechanisms that govern species coexistence and biodiversity represents a fundamental challenge in ecology. This study extends the classic rock-paper-scissors model by introducing a context-dependent higher-order…

Populations and Evolution · Quantitative Biology 2026-03-03 Chunpeng Du , Haoshu Wang , Yikang Lu , Lijuan Qin , Junpyo Park

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

Multiple species in the ecosystem are believed to compete cyclically for survival and thus maintain balance in nature. Stochasticity has also an inevitable role in this dynamics. Considering these attributes of nature, the stochastic…

Populations and Evolution · Quantitative Biology 2020-08-05 Sirshendu Bhattacharyya , Pritam Sinha , Rina De , Chittaranjan Hens

This work deals with the effects of an apex predator on the cyclic competition among three distinct species that follow the rules of the rock-paper-scissors game. The investigation develops standard stochastic simulations but is motivated…

Biological Physics · Physics 2017-06-22 C. A Souza-Filho , D. Bazeia , J. G. G. S. Ramos

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
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