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Dynamics of a discretization physiological control system

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Abstract

We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution of the discrete system and calculate the direction ofthe Hopf bifurcations. The numerical results are presented.

Original languageEnglish
Article number51406
JournalDiscrete Dynamics in Nature and Society
Volume2007
Issue number1
DOIs
StatePublished - 2007

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