The invention comprises a plurality of traps fitted with data processing means, arranged in a given coverage area, said traps comprising specific traps for rodents, specific traps for flying insects and specific traps for crawling insects. The data processing means include animal presence sensors, means for processing the information provided by said sensors and means for communicating said information, as well as power supply means. According to another aspect of the invention the traps in a given area are superintended by a master station that oversees the operation of said “slave” traps, via said information communication means. The aforesaid area superintended by a master station may include different kinds of traps, i.e. a single area may simultaneously contain specific traps for rodents, specific traps for flying insects and specific traps for crawling insects, said traps being identified by codes that indicate the kind of pest the trap is used for.