Mathematical models are used not only in the natural sciences ( such as physics , biology , earth science , meteorology ) and engineering disciplines ( e.g. computer science , artificial intelligence ) , but also in the social sciences ( such as economics , psychology , sociology and political science ) ; physicists , engineers , statisticians , operations research analysts and economists use mathematical models most extensively .
Mathematical models are used in the natural sciences ( such as physics , biology , earth science , meteorology ) and engineering disciplines ( e.g. computer science , artificial intelligence ) .