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

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Castro, SBSD (Author) FEP; Ferreira, AMJ (Author) Other; Isabel S Labouriau (Author) FCUP

Journal

Title: Dynamical Systems

Vol. 39

Pages: 389-407

ISSN: 1468-9367

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19