An infant mattress includes a core and a cover. The core is made from aresilient materialand has a top surface and a bottom surface. The top surface is inclined withrespect to thebottom surface and includes a depression. The cover covers the core andincludes amesh-like material that forms an inclined hammock over the depression. Thehead and torsoof an infant are placed on the hammock. One or more sidewalls of thedepression may haveone or more openings to facilitate air circulation within the depressioncavity. The externalends of the openings may connect to an air or aerosol source to inject air oraerosols into thedepression cavity. The core may be coated with an impermeable water-proofinglayer.