Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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NON-LINEAR PHENOMENA IN SOCIO-ECONOMIC SYSTEMS WITH NATURAL RESOURCE MANAGEMENT

Amador, J. A. ; Granada, H. A. ; Olivar, G. ;

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The concept of sustainable development implies worldwide responsibility and shift to a more sustainable lifestyles and patterns of consumption and production to obtain the harmony among society, economy, and nature. Nowadays, sustainable development is extensively described and studied, but very few works are dedicated to mathematical modelling techniques and numerical simulations. This work deals with some systems of ordinary differential equations in order to explain each one of the sustainable development dimensions (resources, economy, and social growth) and their dependence with population growth. As a result non-linear phenomena such as bifurcations and chaotic behavior may appear and help to explain some sustainability conditions revealing new features of sustainable development dynamics. Non-smooth phenomena such as sliding may appear when discontinuities are introduced into the system turning them into Filippov systems.

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Palavras-chave: Sustainable Development, Non-linear phenomena, Filippov system,

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DOI: 10.5151/meceng-wccm2012-19320

Referências bibliográficas
  • [1] Brander J. A., TaylorM. S., “The Simple Economics of Easter Island: A Ricardo-Malthus Model of Renewable Resource Use”. The American Economics Review. 88, 119-138, 1998.
  • [2] Dalton T. R., Coast R.M., “Could institutional reform have saved Easter Island?”. Journal of Evolutionary Economics. 10, 489-505, 2000.
  • [3] Reuveny R., Decker C. S., “Easter Island: historical anecdote or warning for the future?”. Ecological Economics. 35, 271-271, 2000.
  • [4] Dalton T. R., Coast R.M., Asrabadi B. R., “Renewable resources, property-rights regimes and endogenous growth”. Ecological Economics. 52, 31-41, 2005.
  • [5] D’Alessandro S., “Non-linear dynamics of population and natural resources: The emergence of different patterns of development”. Ecological Economics. 62, 473-481, 2007.
  • [6] Filippov A. F., “Differential equations with discontinuous right-hand sides”. American Mathematical Society Translations. Series 2, AMS, Ann Arbor, 199-231, 1964.
  • [7] Malthus T. R., “An essay on the theory of population”. Oxford University Press. 1798.
  • [8] Ricardo D., “Principles of political economy and taxation”. (Reprinted) London: Dent,1817.
  • [9] Kuznetsov Y. A., “Elements of Applied Bifurcation Theory”. Springer-Verlang, Second Edition, New York, Inc., 1998.
  • [10] Govaerts J. F., “Numerical Methods for Bifurcations of Dynamical Equilibria”. Society for Industrial and Applied Mathematics SIAM, United States of Amarica, 2000.
  • [11] Angulo F., Olivar G., Osorio G. A., Velásquez L. S., “Nonlinear dynamics and bifurcation analysis in two models of sustainable development”. Revista Internacional Sostenibilidad, Tecnologia y Humanismo. 4, 41-46, 2009.
  • [12] Zhaou, C. M., “Hopf bifurcation in a Ricardo-Malthus model”. Applied Mathematics and Computation. 217, 2425-2432, 2010.
Como citar:

Amador, J. A.; Granada, H. A.; Olivar, G.; "NON-LINEAR PHENOMENA IN SOCIO-ECONOMIC SYSTEMS WITH NATURAL RESOURCE MANAGEMENT", p. 3313-3325 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19320

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