Stability of cycles and survival in a jungle game with four species

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Castro, SBSD (Autor) FEP; Ferreira, AMJ (Autor) Outra; Isabel S Labouriau (Autor) FCUP

Revista

Título: Dynamical Systems

Vol. 39

Páginas: 389-407

ISSN: 1468-9367

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Outras Informações

ID Authenticus: P-00Z-YTW

DOI: 10.1080/14689367.2024.2307515

Abstract (EN): The Jungle Game is used in population dynamics to describe cyclic competition among species that interact via a food chain. The dynamics of the Jungle Game supports a heteroclinic network whose cycles represent coexisting species. The stability of all heteroclinic cycles in the network for the Jungle Game with four species determines that only three species coexist in the long-run, interacting under cyclic dominance as a Rock-Paper-Scissors Game. This is in stark contrast with other interactions involving four species, such as cyclic interaction and intraguild predation. We use the Jungle Game with four species to determine the success of a fourth species invading a population of Rock-Paper-Scissors players.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19