Open Problems and Conjectures in the Evolutionary Periodic Ricker Competition Model

Autor:	Rafael Luís
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	discrete dynamical systems periodic evolutionary Ricker competition model local stability global stability mixed monotone maps Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 4, p 246 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13040246
Popis:	In this paper, we present a survey about the latest results in global stability concerning the discrete-time evolutionary Ricker competition model with n species, in both, autonomous and periodic models. The main purpose is to convey some arguments and new ideas concerning the techniques for showing global asymptotic stability of fixed points or periodic cycles in these kind of discrete-time models. In order to achieve this, some open problems and conjectures related to the evolutionary Ricker competition model are presented, which may be a starting point to study global stability, not only in other competition models, but in predator–prey models and Leslie–Gower-type models as well.
Databáze:	Directory of Open Access Journals
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