A Paludarium is a semi-aquatic habitat, where land and water work together to create a natural environment in which you can include many more creatures than you would in your average aquarium. It has even been described as 'living art'.
They may be maintained for purely aesthetic reasons or scientific or horticultural purposes.
Terrarium
A terrarium is a tightly closed, clear glass or plastic container filled with small plants. It also has come to mean an open, transparent container for growing and displaying plants. Terrariums are most useful for small plants that do not adapt well to normal home atmospheres.
The purpose may be decoration, scientific observation, or plant or animal propagation.
Insectarium
An insectarium is a place where living insects are kept, bred, and studied for observation or research.
The insectarium is equipped with a laboratory and stereomicroscopes used for the identification of insects.
Hence, we conclude that all of them can be used for keeping and raising animals or plants for observation or research.