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arxiv: q-bio/0403027 · v1 · submitted 2004-03-19 · 🧬 q-bio.MN

On the stability of Murray's testosterone model

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keywords modelstabilitytestosteronearbitraryasymptoticbeenbehaviordelayed
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We prove the global asymptotic stability of a well-known delayed negative-feedback model of testosterone dynamics, which has been proposed as a model of oscillatory behavior. We establish stability (and hence the impossibility of oscillations) even in the presence of delays of arbitrary length.

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