[video:https://www.flickr.com/photos/overton_cat/2400790865  width:320 height:240]
 
After copulation the males of some species of  dragonflies (and other insect species), accompanies the female whilst she is ovipositing (laying eggs). This behaviour is termed 'guarding' and can take two forms:
1) Contact guarding where the male is in tandem with the female. 2) Non contact guarding, where the male either settles or hovers above or near by the female.