The spread of computer viruses in the Social Internet of Things (SIoT) has become an increasingly serious problem, especially when facilitated through search engines (SEs). Most previous research has focused on network topology, while this paper investigates the dynamic interaction between attackers and defenders. It explores how personal consciousness and search engines affect virus transmission in SIoT and considers the motivations of attackers and defenders. The virus attacks and response processes are described as a differential game problem. Game theory is used to construct the offensive and defensive framework, and an algorithm is designed to find Nash equilibrium solutions. Finally, some experiments are performed on three distinct network structures to assess the gains for the attacker and the losses for the defender across various attack and defense strategies.