On-Premise is a SaaS model in this you consume the software as service and pay subscription fee for per user per month.

You get free standard support during this period along with all upgrades. You can scale up or down on contract renewal.

Software is installed on your server and a nominal fee (subscription fee) is paid by you.

If you choose to terminate the contract at the end of contract period you would not be able to use the application.

This is a SaaS model where software and server is rented, similar to subscription even here you have to pay a rental which is bit higher than the subscription model as it includes the cost of maintaining the server.

Your data is hosted on our secured server and can be accessed via internet.

This is a subscription model and would need periodic renewal, else you would not be able to access the application.