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Stability, instability in delay equations modeling human respiration

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Abstract

A system of delay equations describing a simple model of the respiratory control mechanism in humans is considered and conditions guaranteeing stability, instability of steady-state equilibrium solutions of that system are presented.

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This research was supported in part by an NSF research grant (K. C.), and by the Institute of Mathematics and Its Applications with funds provided by the NSF (K. C. and J. T.)

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Cooke, K.L., Turi, J. Stability, instability in delay equations modeling human respiration. J. Math. Biology 32, 535–543 (1994). https://doi.org/10.1007/BF00573459

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  • DOI: https://doi.org/10.1007/BF00573459

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