Global stability of a tridiagonal competition model with seasonal succession.
Math Biosci Eng
; 20(4): 6062-6083, 2023 Jan 18.
Article
em En
| MEDLINE
| ID: mdl-37161098
ABSTRACT
In this paper, we investigate a tridiagonal three-species competition model with seasonal succession. The Floquet multipliers of all nonnegative periodic solutions of such a time-periodic system are estimated via the stability analysis of equilibria. Together with the Brouwer degree theory, sufficient conditions for existence and uniqueness of the positive periodic solution are given. We further obtain the global dynamics of coexistence and extinction for three competing species in this periodically forced environment. Finally, some numerical examples are presented to illustrate the effectiveness of our theoretical results.
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1
Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Math Biosci Eng
Ano de publicação:
2023
Tipo de documento:
Article
País de afiliação:
China