Scholarships are only open to citizens / permanent residents of Australia and New Zealand. ANU scholarships are competitive, and cover all fees and ~$27K stipend. In order to be put forward, you will need very good undergraduate marks and a first class honours or Masters by research (or be expecting to gain one by the end of 2019) or equivalent research experience.
For expression of interest, please send Loeske Kruuk: a detailed CV; full academic transcripts; a brief description of your research interests and why this project; and names of two academic referees. Please do this as soon as possible.