Final answer:
The cloud deployment model referred to in the question is the private cloud, which offers a secure and controlled environment within an organization's firewall.
Step-by-step explanation:
The cloud deployment model known as the internal or corporate cloud, which is operated solely by a single organization and is implemented within a corporate firewall, is called the private cloud.
This model provides businesses with more control over their data and resources, compared to public clouds which are available to many organizations. Private clouds are typically more secure as they are confined within the organization's IT infrastructure. However, they may require significant investment in terms of hardware and management compared to public cloud services.