Global dynamics of a di usive single species model with periodic delay.
Math Biosci Eng
; 16(4): 2293-2304, 2019 03 15.
Article
em En
| MEDLINE
| ID: mdl-31137213
ABSTRACT
The growth of the species population is greatly influenced by seasonally varying environments. By regarding the maturation age of the species as a periodic developmental process, we propose a time periodic and diffusive model in bounded domain. To analyze this model with periodic delay, we first define the basic reproduction ratio R0 of the spatially homogeneous model and then show that the species population will be extinct when R0≤1 while remains persistent and tends to periodic oscillation if R0>1. Finally, combining the comparison principle with the fact that solutions of the spatially homogeneous model are also solutions of our model subject to Neumann boundary condition, we establish the global dynamics of a threshold type for PDE model in terms of R0.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Estações do Ano
/
Especificidade da Espécie
/
Número Básico de Reprodução
Tipo de estudo:
Prognostic_studies
Idioma:
En
Revista:
Math Biosci Eng
Ano de publicação:
2019
Tipo de documento:
Article