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In the blink of an Eye

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Nonlinear Elliptic and Parabolic Problems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 64))

Abstract

The mathematical analysis of this paper shows how the effects of strategic local symbiosis provide an exceptional mechanism to increase productivity in highly competitive environments. The most striking consequence from our analysis is that productivity can blow-up in cooperation areas, though some of the species might become extinct elsewhere, as a result of the aggressions received from competitors. As a by-product, it is realized why strategic symbiosis effects help to avoid massive extinctions of populations, or industrial and financial companies. Going beyond, it has been numerically observed that, in the presence of local strategic symbiosis, high level aggressions might provoke a substantial increment of the complexity of the system; a mechanism that might explain the extraordinary bio-diversity of Earth’s biosphere, as well as the complexity of Global Economy.

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Author information

Authors and Affiliations

  1. Dpto. de Matemática Aplicada, Univ. Complutense de Madrid, E-28040, Madrid, Spain

    Julián López-Gómez

  2. Dpto. de Matemáticas, Univ. Carlos III de Madrid, E-28911, Leganés, Madrid, Spain

    Marcela Molina-Meyer

Authors
  1. Julián López-Gómez
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  2. Marcela Molina-Meyer
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Editor information

Editors and Affiliations

  1. Universitá Pierre et Marie Curie, Paris

    Haim Brezis

  2. Rutgers University, New Brunswick, N.J.

    Haim Brezis

  3. Angewandte Mathematik, Universität Zurich, Winterthurerstr. 190, 8057, Zürich, Switzerland

    Michel Chipot

  4. Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167, Hannover, Germany

    Joachim Escher

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© 2005 Birkhäuser Verlag Basel/Switzerland

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López-Gómez, J., Molina-Meyer, M. (2005). In the blink of an Eye. In: Brezis, H., Chipot, M., Escher, J. (eds) Nonlinear Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 64. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7385-7_17

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