The demand for efficient and secure data exchange in Peer-to-Peer (P2P) cloud environments, this survey paper meticulously investigates the landscape of mutual authentication and key agreement schemes complemented by migration models. The seamless integration of these two essential components plays a pivotal role in fortifying the security infrastructure of P2P cloud systems. Our survey begins by providing an overview of the challenges and vulnerabilities associated with conventional P2P cloud architectures. Subsequently, delves into the diverse array of mutual authentication mechanisms, scrutinizing their strengths and weaknesses in the context of peer communication. Emphasis is placed on evaluating the adaptability of these schemes to dynamic P2P cloud environments, where nodes may frequently join or depart. In tandem with mutual authentication, the paper comprehensively explores key agreement schemes vital for establishing secure communication channels among peers. This scrutinizes various cryptographic protocols and algorithms, assessing their applicability in the P2P cloud paradigm. Furthermore, the survey investigates the efficacy of these key agreement schemes in ensuring confidentiality, integrity, and authenticity. A distinctive feature of this survey is its in-depth analysis of migration models integrated with mutual authentication and key agreement schemes. P2P cloud systems are inherently dynamic, necessitating the seamless movement of data and processes between peers. It examines migration strategies and their impact on security protocols, ensuring a holistic understanding of the intricate relationship between migration models and authentication mechanisms. The survey concludes by synthesizing the key findings, identifying current challenges, and proposing potential avenues for future research. By providing a comprehensive analysis of mutual authentication, key agreement schemes, and migration models, this survey aims to serve as a valuable resource for researchers, practitioners, and policymakers involved in enhancing the security and efficiency of P2P cloud environments