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We study a behavioral SIR model with time-varying costs of distancing. We
explore the consequences of distancing fatigue and public policies. For a second
wave to arise, a steep increase in distancing cost is necessary. We introduce prudent
distancing fatigue and show that it cannot trigger a second wave. Both prevalence
and fatigue are single-peaked, with fatigue peaking after prevalence. However,
policy changes that discontinuously increase distancing costs can cause a second
wave, and we characterize the largest such change that avoids it. Finally, numerical
analysis shows that an early strict lockdown can have unintended adverse effects.
