Stability threshold for scalar linear periodic delay differential equations

K Nah, G Röst - Canadian Mathematical Bulletin, 2016 - cambridge.org
Canadian Mathematical Bulletin, 2016cambridge.org
… In particular, [ , §] deals with a periodic delay SEIR model, and linearizing around the
disease-free periodic solution, one obtains a scalar periodic linear delay differential
equation for the infectives, namely [ , (.)], which has exactly the same form as our equation ( .
). Let CP be the Banach space of continuous P-… Figures and show situations when the
stability is just the opposite that one would expect from the sign of r. Overall, our results
show that for a large class of scalar periodic delay differential equations, time averaging of …
We prove that for the linear scalar delay differential equation is not a stability threshold.
Cambridge University Press
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