Abstract
An autonomous system of two differential equations with an asymptotically stable steady state is considered. It is shown that there exists a class of time delays which preserves the stability of such a steady state. The charactristic return time (or decay rate) for the solutions to approach the steady state is estimated using the variational system for the perturbations.
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Gopalsamy, K. Harmless delays in model systems. Bltn Mathcal Biology 45, 295–309 (1983). https://doi.org/10.1007/BF02459394
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DOI: https://doi.org/10.1007/BF02459394