Stability of cyclic gene models for systems involving repression |
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Authors: | H.T. Banks J.M. Mahaffy |
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Affiliation: | Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island 12912, U.S.A. |
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Abstract: | We ccnsider a Goodwin-type model for cyclic gene systems involving endproduct repression. The model is described by a very general system of functic nal differential equations which include as special cases continuous analogues of cyclic models studied previously via computer simulation by other investigators (Fraser & Tiwari, 1974). We establish global stability of equilibrium solutions with arguments which are valid for any number (odd or even) of genes in the cyclic loop. |
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