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Existence of closed orbits for a differential equation model concerning multi-molecule reactions

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Abstract

In this paper, the existence of closed orbits for the biochemical reaction model\(i\dot a = \hat H(t)a\) is discussed, where n is a positive integer and x≥0, y≥0, a>0. We also point out that the equation has no closed orbits or has stable limit cycles arising from Hopf bifurcations under a certain condition of a.

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Wei-nian, Z. Existence of closed orbits for a differential equation model concerning multi-molecule reactions. Appl Math Mech 14, 589–596 (1993). https://doi.org/10.1007/BF02451369

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  • DOI: https://doi.org/10.1007/BF02451369

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