Pattern formations driven by cyclic interactions: A brief review of recent developments

A Szolnoki, BF De Oliveira, D Bazeia - Europhysics Letters, 2020 - iopscience.iop.org
Lotka's seminal work (Lotka AJ, Proc. Natl. Acad. Sci. USA, 6 (1920) 410)" on certain
rhythmic relations" is already one hundred years old, but the research activity about pattern …

How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models

J Menezes, R Barbalho - Chaos, Solitons & Fractals, 2023 - Elsevier
We study generalised rock–paper–scissors models with an arbitrary odd number N≥ 5 of
species, among which n are weak, with 2≤ n≤(N− 1)/2. Because of the species' weakness …

Domain wall annihilation: A QFT perspective

O Pujolas, G Zahariade - Physical Review D, 2023 - APS
Domain wall networks in the early universe, formed upon spontaneous breaking of a
discrete symmetry, have a rich impact on cosmology. Yet, they remain somewhat …

Oppressed species can form a winning pair in a multi-species ecosystem

A Szolnoki, M Perc - Applied Mathematics and Computation, 2023 - Elsevier
The self-protection of alliances against external invaders is a key concept behind the
maintenance of biodiversity in the face of natural selection. But since these alliances, which …

How local antipredator response unbalances the rock-paper-scissors model

J Menezes, S Batista, M Tenorio, E Triaca… - … Journal of Nonlinear …, 2022 - pubs.aip.org
Antipredator behavior is a self-preservation strategy present in many biological systems,
where individuals join the effort in a collective reaction to avoid being caught by an …

[HTML][HTML] Competition among alliances of different sizes

BF de Oliveira, A Szolnoki - Chaos, Solitons & Fractals, 2022 - Elsevier
To understand the biodiversity of an ecosystem cannot be understood by solely analyzing
the pair relations of competing species. Instead, we should consider multi-point interactions …

Mobility unevenness in rock–paper–scissors models

J Menezes, S Rodrigues, S Batista - Ecological Complexity, 2022 - Elsevier
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 …

Role of predator-prey reversal in rock-paper-scissors models

PP Avelino, BF de Oliveira, RS Trintin - Europhysics Letters, 2023 - iopscience.iop.org
In this letter we consider a single parameter generalization of the standard three species
Rock-Paper-Scissors (RPS) model allowing for predator-prey reversal. This model, which …

Parity effects in rock-paper-scissors type models with a number of species NS≤ 12

PP Avelino, BF De Oliveira, RS Trintin - Chaos, Solitons & Fractals, 2022 - Elsevier
We investigate the impact of parity on the abundance of weak species in the context of the
simplest generalization of the rock-paper-scissors model to an arbitrary number of species …

Spatial patterns and biodiversity in rock-paper-scissors models with regional unevenness

J Menezes, M Tenorio - Journal of Physics: Complexity, 2023 - iopscience.iop.org
Climate changes may affect ecosystems destabilising relationships among species. We
investigate the spatial rock-paper-scissors models with a regional unevenness that reduces …