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Birth-Death Systems

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Foundations of Synergetics II

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 52))

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Abstract

The behavior of many systems in many different applications can be effectively described in terms of the reproduction, death, and diffusion of certain particles. In chemical kinetics this situation is realized for chemical chain reactions: Here the ‘particles’ represent free radicals. Nuclear fission reactions involve the reproduction of neutrons. In biology, the reproducing ‘particles’ could be micro-organisms, such as bacteria, insects, or other animals. As shown in Chap. 7 of the first volume, even problems in biological evolution and market economics can be analyzed in terms of populations of reproductive agents. On the other hand, reproduction of structural defects plays an important role in the transition to turbulence in distributed active systems (see Chap. 7 of the present volume). A general mathematical description for this class of processes is provided by birth-death models.

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Authors and Affiliations

  1. Max-Planck-Gesellschaft, Fritz-Haber-Institut, Faradayweg 4-6, D-14195, Berlin, Germany

    Professor Alexander S. Mikhailov

  2. Department of Physics, Lomonosov Moscow State University, 117234, Moscow, Russia

    Professor Alexander Yu. Loskutov

Authors
  1. Professor Alexander S. Mikhailov
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  2. Professor Alexander Yu. Loskutov
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© 1996 Springer-Verlag Berlin Heidelberg

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Mikhailov, A.S., Loskutov, A.Y. (1996). Birth-Death Systems. In: Foundations of Synergetics II. Springer Series in Synergetics, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80196-9_10

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  • DOI: https://doi.org/10.1007/978-3-642-80196-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80198-3

  • Online ISBN: 978-3-642-80196-9

  • eBook Packages: Springer Book Archive

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