The goal of this paper is to establish a feasible three-species equilibrium model to analyze the symbiotic relationship of an automobile manufacturing community. In order to extend the Lotka–Volterra model to empirical analysis, this paper proposes an enterprise community symbiosis model based on a three-dimensional Lotka–Volterra model, as the classical two-dimensional Lotka–Volterra model has limited application scenarios. This paper takes the innovation assets of three communities of the Chinese automobile manufacturing industry as samples. The industrial community related to automobile manufacturing consists of the automobile manufacturing population, automobile parts population, and enterprise service industry population. The symbiosis system is empirically analyzed from two aspects: the balanced development of the three populations and the competitive evolution of the three populations. The stability of the model is tested by the data from information technology and the intelligent manufacturing community. In the process of dynamic simulation, the symbiotic relationship between automobile manufacturing-related populations shows a significant “skew symbiotic relationship.” This paper reconstructs the “whole population symbiosis” optimization model as skew distribution is difficult to apply to support collaborative development. The symbiosis optimization under the equilibrium state of the three populations shows that the growth of the three automobile manufacturing industry populations has the possibility of equilibrium and reciprocity. The empirical analysis fully demonstrates the feasibility of this research paradigm. The evolution analysis of the symbiotic system shows that cooperative behavior is better than competitive strategy. The research paradigm proposed in this paper can better analyze the symbiosis mechanism of the enterprise community.
There is a development trend for fuel vehicles to adopt low-carbon emission engines. The sales of cars with low-carbon three-cylinder engines in the Chinese market have declined. Is the life cycle of automotive products with three-cylinder engines entering a recession stage? In order to achieve this research objective, which is to investigate whether assembling a three-cylinder engine affects the life cycle of an automotive product, this paper constructs an ecological theory-based approach to measuring the life cycle of automotive products. First, the logistic model is used to measure the intrinsic growth rate, internal inhibition coefficient, and theoretical upper limit of product sales scale before and after the automotive products are equipped with three-cylinder engines. In the second stage, the Lotka–Volterra model is used to calculate the intrinsic growth rate, internal inhibition coefficient, theoretical upper limit, and symbiosis coefficient of the sales scale of the products before and after the three-cylinder engine, taking the Chinese automobile manufacturing enterprises as an example for empirical analysis. The research results show that the selection of three- cylinder engine for automotive products will not lead to the product life cycle entering the recession period ahead of time.
CO2 emissions are increasing with the expansion of export trade. Against the backdrop of the prominent trend of decarbonization in the global economy, the question of how to rise to the occasion to maintain the advantages of international trade, as well as achieving sustainable growth in export trade, has become an urgent issue for us to consider. This paper uses empirical analysis to propose and establish an econometric model of the symbiosis between carbon emissions and export trade dependence, economic structural changes and clean technology changes, based on the environmental Kuznets curve and using time series data for Guangdong Province from 2000 to 2021. The study found that there is a long-term, stable equilibrium relationship between the scale effect and technology effect on carbon emissions, and a positive relationship between the structural effect and carbon emissions. The study then constructed a symbiotic system of exports and carbon emissions from a symbiotic perspective. The Lotka–Volterra MCGP model was used to measure the evolution of the export and carbon emission symbiosis system from the optimization of three perspectives: the scale and structure of energy consumption under the dual constraints of export trade and carbon emissions, the scale of export trade under the carbon emission constraints, and the scale of carbon emissions under the export trade constraints. The results show that there is considerable room for improvement in the structure of energy consumption and carbon emissions in the current Guangdong export trade process. At the same time, this improvement can be achieved by adjusting the energy consumption structure and improving the efficiency of the system without changing the scale effect, technology effect or structural effect.
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