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...

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书目详细资料
Main Authors:	Granada Díaz, Héctor Andrés, A.G, Miguel Angel, Moreno A, D.K, Canchila M, J.A
格式:	Online
语言:	spa
出版:	Universidad Pedagógica y Tecnológica de Colombia 2018
主题:	Sistemas dinámicos dinámica no lineal bifurcación de Hopf desarrollo sostenible huella ecológica Dynamical systems, nonlinear dynamics, Hopf bifurcation, sustainable development, ecological footprint.
在线阅读:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/5418

实物特征
总结:	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.