Kingdom: Animalia
Phylum: Arthropoda
Class: Insecta
Order: Coleoptera
Family: Coccinellidae
Genus: Apolinus
Species: A. lividigaster
Binomial name: Apolinus lividigaster
Synonyms: Platyomus lividigaster, Scymnodes lividigaster
Common name: Yellow-shouldered ladybird, Yellow-shouldered ladybug

Apolinus lividigaster is a small black ladybird found in Australia and New Zealand. It has a body length of 3-4mm. They all have a yellow patch on each side of their thorax; some individuals have a yellow patch between the eyes while others have a dark face. All of them have dark blue forewings covered with fine yellowish to white hairs. 
The pupae are oval shaped and mostly white with brown markings near each end. Apolinus lividigaster are found in Australia and New Zealand. The main prey of the larvae and adults is the oleander aphid: Aphis nerii.

1-Apolinus lividigaster .jpg 

Apolinus lividigaster feeding on Aphis nerii.
1-Apolinus lividigaster) with Aphis nerii .jpg

Apolinus lividigaster larva
1-Apolinus lividigaster larva . Thorpe.jpg  

Thanks to Wikipedia for text and Information;  http://creativecommons.org/licenses/by-sa/3.0/