Plasmodium parasites are classified within the Apicomplexa phylum. They have complex life cycles involving both human and mosquito hosts. In humans, they infect and multiply within liver cells and red blood cells, causing cyclical fevers, anemia, and splenomegaly. The different Plasmodium species vary in their periodicity of fevers and clinical severity, with P. falciparum being the most lethal form of malaria.