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Asymptomatic and limiting behavior of dynamic system of double hypercycle

Keywords:

M.V. Safro


In the real work the model of hyper cyclic replication at which each macromolecule catalyzes emergence of two subsequent macromolecules in the closed cycle is studied. It is proved that such system possesses property of not degeneracy (permanence). Stability of stationary positions of balance is studied.
References:
  1. Arnold V.I. Dopolnitelnye glavy teorii obyknovennykh differencialnykh uravnenijj. M.: Nauka. 1978.
  2. Bratus A.S., Novozhilov A.S., Platonov A.P. Dinamicheskie sistemy i modeli biologii. M.: Fizmatlit, 2010.
  3. Hofbauer J., Sigmund K. Evolutionary Games and Population Dynamics. Cambridge: Cambridge University Press. 1998.
  4. Bellman R. Vvedenie v teoriju matric. M.: Nauka. 1969.
  5. Hofbauer J., Mallet-Paret J., Smith H. L. Stable periodic solutions for the hypercycle system // Journal of Dynamics and Differential Equations. 1991. V. 3.
  6. Mallet-Paret J., Smith H. L. The Poincare-Bendixson theorem for monotone cyclic feedback systems // Journal of  Dynamics and Differential Equations. 1990. V. 2. R. 367–421.

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