AWS ECS vs EKS for hybrid cloud strategy What can EKS deployment do that ECS deployment can't do? is there any specific circumstances that you have to deploy your application on EKS but not ECS.
This is a very broad question (and BTW you have a typo in the title, it should say ECS not ECR).
In terms of general positioning this may be a good starting point.
Given in the title you mention &quot;hybrid&quot; deployments you may be interested in investigating and investigating ECS Anywhere and EKS Anywhere. They are both coming in 2021.