Abstract: Pollution control in large-scale livestock and poultry breeding has emerged as a crucial aspect of achieving the objectives outlined in the ‘Beautiful Village’ initiative. Effectively addressing pollution in livestock and poultry breeding requires collaborative efforts from the government, agricultural enterprises, and third-party supervisory bodies. However, existing studies have not provided a comprehensive understanding of the intricate interactions and collaborative mechanisms among the three parties. This paper employs a systematic approach, combining System Dynamics and Evolutionary Game methods, to delve into the strategic dynamics and system evolution between the government and large-scale livestock and poultry breeding enterprises concerning pollution control, all within the context of media supervision. The findings underscore that the sewage disposal system in large-scale livestock and poultry farming is inherently complex, and media supervision plays a pivotal role in influencing its behavior positively. Furthermore, the study reveals that the impetus from both government regulations and media attention enables the system to reach a better steady state faster. The primary contribution of this paper lies in constructing a rate variable fundamental in tree model of the large-scale livestock and poultry breeding sewage disposal system. Additionally, the introduction of a delay function improves the evolutionary game model, unraveling the dynamic and complex characteristics of the system. The conclusions drawn from this research offer valuable insights for advancing pollution control measures in livestock and poultry breeding, contributing to the enhancement of rural ecological environments. Ultimately, the study’s outcomes can serve as a guide for further initiatives aimed at fostering sustainable practices and environmental well-being in rural areas.

Key words: pollution control of large-scale livestock and poultry breeding, media supervision, evolutionary game, system dynamics