Global stability of a tridiagonal competition model with seasonal succession.
Math Biosci Eng
; 20(4): 6062-6083, 2023 Jan 18.
Article
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| MEDLINE
| ID: mdl-37161098
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
Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Math Biosci Eng
Año:
2023
Tipo del documento:
Article
País de afiliación:
China
Pais de publicación:
Estados Unidos