Dynamics of a discrete predator-prey system with nonconstant death rate
In this paper, we will consider a discrete non-autonomous predator-prey system with nonconstant death rate. We give sufficient conditions in order to get a dissipative and permanent system. By using the continuation theorem based on Gaines and Mawhin's coincidence degree, we study the existence...
- Autores:
-
Duque, Cosme
Uzcategui, Jahnett
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61867
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61867
http://bdigital.unal.edu.co/60679/
- Palabra clave:
- 51 Matemáticas / Mathematics
predator-prey with nonconstant death rate
difference equations
periodic solutions
coincidence degree
depredator-presa con tasa de mortalidad no constante
ecuaciones en diferencias
soluciones periódicas
grado de coincidencia
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | In this paper, we will consider a discrete non-autonomous predator-prey system with nonconstant death rate. We give sufficient conditions in order to get a dissipative and permanent system. By using the continuation theorem based on Gaines and Mawhin's coincidence degree, we study the existence of positive periodic solutions when the coecients of system are periodic. A numerical example is given to illustrate the effectiveness of the main result. |
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