Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems

Autor(es)

Bazeia, D. ^[1] ; de Oliveira, B. F. ^[2] ; Silva, J. V. O. ^[2] ; Szolnoki, A. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, PB - Brazil

^[2] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, PR - Brazil

^[3] Hungarian Acad Sci, Inst Tech Phys & Mat Sci, Ctr Energy Res, POB 49, H-1525 Budapest - Hungary

• Tipo de documento: Artigo Científico
• Fonte: CHAOS SOLITONS & FRACTALS; v. 141, DEC 2020.
• Citações Web of Science: 0

Resumo

Non-transitive dominance and the resulting cyclic loop of three or more competing species provide a fundamental mechanism to explain biodiversity in biological and ecological systems. Both Lotka-Volterra and May-Leonard type model approaches agree that heterogeneity of invasion rates within this loop does not hazard the coexistence of competing species. While the resulting abundances of species become heterogeneous, the species who has the smallest invasion power benefits the most from unequal invasions. Nevertheless, the effective invasion rate in a predator and prey interaction can also be modified by breaking the direction of dominance and allowing reversed invasion with a smaller probability. While this alteration has no particular consequence on the behavior within the framework of Lotka-Volterra models, the reactions of May-Leonard systems are highly different. In the latter case, not just the mentioned ``survival of the weakest{''} effect vanishes, but also the coexistence of the loop cannot be maintained if the reversed invasion exceeds a threshold value. Interestingly, the extinction to a uniform state is characterized by a non-monotonous probability function. While the presence of reversed invasion does not fully diminish the evolutionary advantage of the original predator species, but this weakened effective invasion rate helps the related prey species to collect larger initial area for the final battle between them. The competition of these processes determines the likelihood in which uniform state the system terminates. (C) 2020 Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 14/50983-3 - INCT 2014: fluidos complexos
• Beneficiário: Antonio Martins Figueiredo Neto
• Modalidade de apoio: Auxílio à Pesquisa - Temático