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arXiv · 1611.00207

Stability in a scalar differential equation with multiple, distributed time delays

Sue Ann Campbell·Israel Ncube
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Abstract

We consider a linear scalar delay differential equation (DDE), consisting of two arbitrary distributed time delays. We formulate necessary conditions for stability of the trivial solution which are independent of the distributions. For the case of one discrete and one gamma distributed delay, we give an explicit description of the region of stability of the trivial solution and discuss how this depends on the model parameters.

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Sue Ann Campbell, Israel Ncube. 2016-11-01. Stability in a scalar differential equation with multiple, distributed time delays. https://doi.org/10.1016/j.jmaa.2017.01.060

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