English is not my native language so I read the definition of what anxious mean - and, yes, it seems that - that is what perfectly describes our Iggy.
The first month after the baby birth, he refused to come out of cage at all - we were calming him and encouraging to do that while baby slept - but mostly, during this first month, my husband had to take him in hands and bring to the bath or to the most far corner of home, so he can have at least a little walk heading straight back to his enclosure. And then started to appear aggression outside the enclosure - he wants to come out and to get us away of his sight. So, thanks, now we know its not some kind of strange long-lasting (4 month) breeding season.
Thanks a lot for the advice - will do our best to stop or lessen that.