Competition Equilibrium Analysis of China’s Luxury Car Market Based on Three‐Dimensional Grey Lotka–Volterra Model

Wu, Xiaolan; Wang, Shengyuan; Liu, Ya-Zhen; Liang, Jiankun; Yu, Xin

doi:10.1155/2021/7566653

Cited by 7 publications

(6 citation statements)

References 36 publications

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“…Among the existing studies, there is a kind of interesting research mainly focusing on the grey logistic model [46], grey two-dimensional Lotka-Volterra model, and grey three-dimensional Lotka-Volterra model [40,[47][48][49][50]. Te main feature of this kind of research is that grey system theory is applied to the model construction of population dynamics.…”

Section: Resultsmentioning

confidence: 99%

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Study on the Growth Driving Model of the Enterprise Innovation Community Based on the Lotka–Volterra Model: A Case Study of the Chinese Automobile Manufacturing Enterprise Community

Pan

Wang

et al. 2023

Mathematical Problems in Engineering

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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.

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Section: Resultsmentioning

confidence: 99%

“…Te authors embed the equilibrium condition of the Lotka-Volterra system into the MCGP model to obtain the Lotka-Volterra-MCGP model in this paper [35][36][37][38][39][40][41]:…”

Section: Lotka-volterra-mcgp Modelmentioning

confidence: 99%

Study on the Growth Driving Model of the Enterprise Innovation Community Based on the Lotka–Volterra Model: A Case Study of the Chinese Automobile Manufacturing Enterprise Community

Pan

Wang

et al. 2023

Mathematical Problems in Engineering

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show abstract

“…Terefore, the combination of the Lotka-Volterra model and the MCGP model is benefcial for solving the complex multiobjective problems mentioned above. Embedding the MCGP model and the Lotka-Volterra model, we can get the Lotka-Volterra MCGP model [55]:…”

Section: Multichoice Goal Programming Multichoice Goalmentioning

confidence: 99%

Automotive Product Portfolio Design from the Perspective of Energy Sustainability: Multicriteria Decision-Making Based on Lotka–Volterra MCGP Model

Liang,

Wang,

2023

Discrete Dynamics in Nature and Society

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Low energy consumption and green transformation of automobile product portfolio is the trend of the times. Automotive manufacturers make product portfolio decisions by setting multiple criteria such as fuel consumption, sales, and volume. It is also important to take into account the symbiotic interaction effects between automotive products. In order to achieve the above research objectives, this paper constructs the Lotka–Volterra MCGP model to make multicriteria decisions on automobile product portfolio design from the perspective of energy sustainability with BMW Brilliance is taken as an example to illustrate the process of using the multicriteria model. The empirical analysis successively measures product growth using the logistic model, analyzes the symbiotic relationship of product portfolios using the Lotka–Volterra model, and finally performs multicriteria evaluation using the MCGP model. In order to verify the reliability of the model, this paper verifies the robustness of the model from the perspectives of parameter dynamics, system boundaries, and model scalability. The results of empirical analysis and robustness analysis show that the Lotka–Volterra MCGP model proposed in this paper is applicable to the multicriteria decision-making of automobile product portfolio design from the perspective of energy sustainability.

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“…The preferences and evolutionary paths of the existing system's operation can reveal the possibilities for energy saving and emission reduction under existing conditions. In this paper, the Lotka-Volterra MCGP model was used for system optimization, which can embed the export and carbon symbiosis expressed by Lotka-Volterra into the MCGP model, effectively combining the advantages of the Lotka-Volterra and MCGP models [37][38][39][40].…”

Section: Optimization Of the Symbiotic System Of Export Trade And Car...mentioning

confidence: 99%

Sustainable Development in the Export Trade from a Symbiotic Perspective on Carbon Emissions, Exemplified by the Case of Guangdong, China

Wang

Pan

2023

Sustainability

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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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Competition Equilibrium Analysis of China’s Luxury Car Market Based on Three‐Dimensional Grey Lotka–Volterra Model

Cited by 7 publications

References 36 publications

Study on the Growth Driving Model of the Enterprise Innovation Community Based on the Lotka–Volterra Model: A Case Study of the Chinese Automobile Manufacturing Enterprise Community

Study on the Growth Driving Model of the Enterprise Innovation Community Based on the Lotka–Volterra Model: A Case Study of the Chinese Automobile Manufacturing Enterprise Community

Automotive Product Portfolio Design from the Perspective of Energy Sustainability: Multicriteria Decision-Making Based on Lotka–Volterra MCGP Model

Sustainable Development in the Export Trade from a Symbiotic Perspective on Carbon Emissions, Exemplified by the Case of Guangdong, China

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