Hopf bifurcation in a model of sustainable development
This article presents a system of three first-orden ordinary differential equations to study the dynamic in- teraction between renewable resources, population and environmental pollution in a region. The model is achieved coupling a dynamic equation of contamination to formulated systems by Simone D...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad Pedagógica y Tecnológica de Colombia
- Repositorio:
- RiUPTC: Repositorio Institucional UPTC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.uptc.edu.co:001/15214
- Acceso en línea:
- https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5418
https://repositorio.uptc.edu.co/handle/001/15214
- Palabra clave:
- Sistemas dinámicos
dinámica no lineal
bifurcación de Hopf
desarrollo sostenible
huella ecológica
Sistemas dinámicos
Dynamical systems, nonlinear dynamics, Hopf bifurcation, sustainable development, ecological footprint.
- Rights
- License
- Derechos de autor 2017 CIENCIA EN DESARROLLO
| Summary: | This article presents a system of three first-orden ordinary differential equations to study the dynamic in- teraction between renewable resources, population and environmental pollution in a region. The model is achieved coupling a dynamic equation of contamination to formulated systems by Simone D’alessandro and shows that under the Hopf bifurcation can be found conditions to achieve sustainable development under the definition given in the report of Brundtland commission 1987. That is, when a harmonic balance between the state variables of the model is reached. |
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