An exhaust aftertreatment system includes an oxidation catalyst and a selective catalytic reduction (SCR) catalyst disposed in an exhaust stream of an internal combustion engine. A stay warm thermal management strategy is employed after warm-up of the aftertreatment system is complete to maintain the aftertreatment system above a temperature providing a desired performance threshold of one or more components of the aftertreatment system, such as the oxidation catalyst or the SCR catalyst.