The term "biophilia" literally means "love of life or living systems." It was first used by Erich Fromm to describe a psychological orientation of being attracted to all that is alive and vital. Wilson uses the term in the same sense when he suggests that biophilia describes "the connections that human beings subconsciously seek with the rest of life.” He proposed the possibility that the deep affiliations humans have with nature are rooted in our biology. Unlike phobias, which are the aversions and fears that people have of things in the natural world, philias are the attractions and positive feelings that people have toward certain habitats, activities, and objects in their natural surroundings.
To many people, "nature" means plants as in a park or forest, but the weather and animals are also closely involved. In the book Children and Nature: Psychological, Sociocultural, and Evolutionary Investigations edited by Peter Kahn and Stephen Kellert, the importance of animals, especially those with which a child can develop a nurturing relationship, is emphasised particularly for early and middle childhood. Chapter 7 of the same book reports on the help that animals can provide to children with autistic-spectrum disorders.
To me, it refers to definition #2 here.
Please be aware that I'm neither a native English speaker nor a teacher.