An enterprise must be able to conduct in-depth analysis of the existing data as the information has certain grey characteristics, if it wants to occupy a dominant position in the fierce market competition. In this paper, a compound three-dimensional grey Lotka–Volterra model is developed to carry out the grey transformation of the original data, so that the data can have better simulation accuracy, and the observation noise of the original data can be reduced. The competitive situation analysis based on the three-dimensional grey Lotka–Volterra model can help enterprises better understand the market situation. This paper takes the luxury brand automobile market in mainland China as an example to conduct a competitive analysis and a balanced development simulation. It can be found that, based on Three Species System Analysis, there is a symbiotic relationship among automobile enterprises and that the three species model can be adopted in analyzing the competition and cooperation among enterprises. Through balanced development of a Symbiotic System Analysis, the results of symbiotic optimization under the achievable equilibrium state of three populations are obtained and they show that the proposed method can be used effectively to conduct the market competition analysis. It is thus of great importance to study the relationships among enterprises as it is helpful for enterprises to make strategic policies.

The concept of sustainable development as a consensus is being recognized and practiced by the international community, and how to promote China–ASEAN trade relations and stable and sustainable economic development is an important guarantee for the coordinated economic development of the region. This paper studies the trade relationship between China and the ten ASEAN countries by using the theory of ecological population evolution and determines the ecological trade relationship between China and the ten ASEAN countries by establishing the Lotka–Volterra model of the evolution of two populations—the relationship of competition, the relationship of partial benefit, and the relationship of mutually beneficial symbiosis—so as to analyze the degree of trade friction between the two sides and propose corresponding strategies for coordinated development of the regional economy. According to the results of the population evolution competition model, there is a competitive relationship between China, Brunei, and Vietnam, which may cause trade friction. China has a trade-biased relationship with Indonesia, Cambodia, Malaysia, and Singapore, which is less likely to cause trade friction. China’s trade with Laos, Myanmar, the Philippines, and Thailand is mutually beneficial. The possibility of trade friction is low, and the trade relationship between China and ASEAN as a whole is also mutually beneficial. On this basis, in order to further enhance the trade relations between PRC and the ten ASEAN countries and promote the coordinated development of the regional economy, this paper puts forward the policy suggestions of improving infrastructure, strengthening independent innovation, seeking cooperation areas, and actively investing in foreign direct investment.