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It is one of the materials most popularly known as expanded rubber or foam rubber sheeting.
EVA foam is used to produce - among others - mouse pads, flip flops and sports mats. Sheets of the material can be used for manufacturing Participatory 3D Models.
Models made out of this material are well suited for humid tropical environments where carton board may deteriorate rapidly.
Manufacturing a 3D model using 'expanded EVA / PE closed-cell foam' compared to carton board implies a slightly higher cost and non biodegradable debris, but ensures a more durable output and a consistent vertical scale/exaggeration of the 3D model. Insertion of map and push pins is easy.
More information on the topic is found here.