M.Sc .NET

Yes with your B.Sc. in Zoology and M.Sc. in Animal Behaviour you are eligible to appear for the UGC NET exam. The UGC NET exam is conducted by the National Testing Agency (NTA) on behalf of the University Grants Commission (UGC) for determining the eligibility of candidates for the role of Assistant Professor or for the award of Junior Research Fellowship in Indian universities and colleges.  To be eligible for the UGC NET exam you should have completed a master's degree (or its equivalent) with at least 55% marks (50% for reserved categories) in the relevant subject. As you have an M.Sc. in Animal Behaviour you fulfill this criterion.In addition to the educational qualification there are other eligibility criteria such as age limit and nationality that you need to fulfill. You can check the official notification or website of UGC NET for more details regarding the eligibility criteria and application process.