Dynamics of an epidemic model with advection and free boundaries.
Math Biosci Eng
; 16(5): 5991-6014, 2019 06 28.
Article
en En
| MEDLINE
| ID: mdl-31499749
ABSTRACT
This paper deals with the propagation dynamics of an epidemic model, which is modeled by a partially degenerate reaction-diffusion-advection system with free boundaries and sigmoidal function. We focus on the effect of small advection on the propagation dynamics of the epidemic disease. At first, the global existence and uniqueness of solution are obtained. And then, the spreading-vanishing dichotomy and the criteria for spreading and vanishing are given. Our results imply that the small advection make the disease spread more difficult.
Palabras clave
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Enfermedades Transmisibles
/
Epidemias
Tipo de estudio:
Prognostic_studies
Límite:
Humans
País/Región como asunto:
Europa
Idioma:
En
Revista:
Math Biosci Eng
Año:
2019
Tipo del documento:
Article