Final answer:
The model of Cloud infrastructure that works between an on-premise network of servers and servers on Azure is the Hybrid Cloud. It combines the advantages of both on-premise infrastructure and the public cloud infrastructure offered by Azure.
Step-by-step explanation:
The model of Cloud infrastructure that works between an on-premise network of servers and servers on Azure is the Hybrid Cloud. The Hybrid Cloud combines the advantages of both the on-premise infrastructure and the public cloud infrastructure offered by Azure. It allows organizations to have more flexibility and control over their data by keeping some data and applications on-premise while leveraging the scalability and cost-efficiency of the public cloud for other resources.