In recent years, with the development of the mobile Internet, big data and cloud computing, by aggregating platform ecological resources, mobile medical platforms such as the one operated by Ding Xiang Yuan have played an irreplaceable role in improving efficiency, optimizing resource allocation and promoting the transformation and upgrading of the medical industry. Despite this, most of the domestic mobile medical platforms in China still experience problems, such as an immature business model, stagnation of the interaction of knowledge and information among platform members, and weak platform competitiveness. Based on a review of platform and commercial ecosystems, this paper, by using the evolutionary game method and simulation, analyses the evolutionary stability strategy of operators, partners and users in the core layer of the platform during pre-flow and post-flow periods of a mobile medical platform; this study thereby constructs a benefit dynamic equilibrium model of a platform business ecosystem under the optimal decisions made by all parties involved in the platform. The research helps reveal the inherent law of the development of mobile medical platforms and provides recommendations for policy-making and strategy formulation in building an appropriate business ecosystem and achieving sustainable development in mobile medical platforms.