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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 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

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

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

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

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

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

We run stochastic simulations of the spatial version of the rock-paper-scissors game, considering that individuals use sensory abilities to scan the environment to detect the presence of enemies. If the local dangerousness level is above a…

Populations and Evolution · Quantitative Biology 2023-05-04 J. Menezes , E. Rangel

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

We study a five-species cyclic system wherein individuals of one species strategically adapt their movements to enhance their performance in the spatial rock-paper-scissors game. Environmental cues enable the awareness of the presence of…

Populations and Evolution · Quantitative Biology 2024-06-05 R. Barbalho , S. Rodrigues , M. Tenorio , J. Menezes

Disease outbreaks affect many ecosystems threatening species that also fight against other natural enemies. We investigate a cyclic game system with $5$ species, whose organisms outcompete according to the rules of a generalised spatial…

Populations and Evolution · Quantitative Biology 2022-05-13 E. Rangel , B. Moura , J. Menezes

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

This work deals with a system of three distinct species that changes in time under the presence of mobility, selection, and reproduction, as in the popular rock-paper-scissors game. The novelty of the current study is the modification of…

Populations and Evolution · Quantitative Biology 2018-04-06 P. P. Avelino , D. Bazeia , L. Losano , J. Menezes , B. F. de Oliveira , M. A. Santos

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

Antipredator behavior is present in many biological systems where individuals collectively react to an imminent attack. The antipredator response may influence spatial pattern formation and ecosystem stability but requires an organism's…

Populations and Evolution · Quantitative Biology 2021-11-10 J. Menezes , B. Moura

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 investigate a cyclic game system where organisms face an epidemic beyond being threatened by natural enemies. As a survival strategy, individuals of one out of the species usually safeguard themselves by approaching the enemies of their…

Populations and Evolution · Quantitative Biology 2023-01-09 J. Menezes , B. Ferreira , E. Rangel , B. Moura

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

A central goal in ecology is to understand how biodiversity is maintained. Previous theoretical works have employed the rock-paper-scissors (RPS) game as a toy model, demonstrating that population mobility is crucial in determining the…

Populations and Evolution · Quantitative Biology 2026-05-21 Kaiwen Jiang , Chenyang Zhao , Shengfeng Deng , Weiran Cai , Jiqiang Zhang , Li Chen

We study a nonhierarchical tritrophic system, whose predator-prey interactions are described by the rock-paper-scissors game rules. In our stochastic simulations, individuals may move strategically towards the direction with more…

Populations and Evolution · Quantitative Biology 2022-03-02 J. Menezes , E. Rangel , B. Moura
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