You are maybe the target of a DDOS attack or a brute-force password discovery attempt. I would report this to AWS support - as they can help to mitigate the effect of the attack.
As a best practice, we do not recommend to use 0.0.0.0/0 as source IP address for incoming connection rule in Security Group.
Try to restrict which IP addresses are authorised to connect to your database.
If you are accessing from on prem network, specify only your on-prem address range.
If you're accessing your database from an app server installed on EC2, use the ID of the App Server Security Group (sg-xxxx) as source authorised to connect to your database.