In an era where information's rapid dissemination profoundly impacts society, this study introduces a comprehensive model examining information warfare dynamics within a scale-free network. Emphasizing the propagation and counter-propagation processes, our model intricately captures interactions among network nodes and their attributed statuses. Constructing a scale-free network via the Barabasi-Albert model, we simulate an information dissemination environment, attributing nodes as Informed or Unversed to mirror the diversity within the network. The transmission probability, contingent on node attributes, governs the information propagation process, while a reinforcement mechanism factors in the higher susceptibility of Unversed nodes to reinfection. Introducing a counter-propagation process to recover infected nodes, recovery probabilities are tailored based on node literacy status, potentially enhancing intervention effectiveness. Extensive simulations scrutinize the dynamics of information warfare, investigating parameters like transmission and recovery probabilities, and network topology's influence on information spread and counter-propagation success. This study evaluates defender and attacker accuracy, unveiling varied strategy effectiveness. The accuracy of the defender, which measures the rate at which nodes recover and align with their actual literacy attributes, was found to be 66.7% in defender dominant state and accuracy of attacker was 81.9% in attacker dominant state. Our findings illuminate the intricate dynamics of information warfare, underscoring the pivotal role of literacy status and proposing strategies to bolster defender accuracy.