On the dynamics of a hyperbolic-exponential model of growth with density dependence
In this paper we consider a hyperbolic–exponential model of growth with density regulation and two different stages, following the scheme proposed in Rodríguez (1998). We analyze the dynamics and the complexity of the system, in particular, we study the existence and stability of the fixed points in...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Politécnica de Cartagena(UPCT) |
| Repositorio: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/13749 |
| Acceso en línea: | http://hdl.handle.net/10317/13749 https://www.sciencedirect.com/science/article/pii/S1007570421003622 |
| Access Level: | acceso abierto |
| Palabra clave: | population dynamics density dependence chaos topological entropy Matemática Aplicada |
| Sumario: | In this paper we consider a hyperbolic–exponential model of growth with density regulation and two different stages, following the scheme proposed in Rodríguez (1998). We analyze the dynamics and the complexity of the system, in particular, we study the existence and stability of the fixed points in terms of the W Lambert function and the existence of chaos is proved for a range of parameter values. The model also exhibits dynamic Parrondo’s paradox, obtaining complex dynamics when two simple maps are combined. |
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