Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model
The classical Lotka–Volterra model is mainly a two-dimensional configuration. The two-dimensional form limits the application scenarios of the Lotka–Volterra model. The research objective of this paper is to develop a feasible three population equilibrium model to analyze the industry competition. I...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/9935127 |
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| _version_ | 1850104198857752576 |
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| author | Sheng-Yuan Wang Wan-Ming Chen Xiao-Lan Wu |
| author_facet | Sheng-Yuan Wang Wan-Ming Chen Xiao-Lan Wu |
| author_sort | Sheng-Yuan Wang |
| collection | DOAJ |
| description | The classical Lotka–Volterra model is mainly a two-dimensional configuration. The two-dimensional form limits the application scenarios of the Lotka–Volterra model. The research objective of this paper is to develop a feasible three population equilibrium model to analyze the industry competition. In order to expand the Lotka–Volterra model to empirical analysis, this paper proposes a symbiosis model of enterprise population based on a three-dimensional Lotka–Volterra model. This paper analyzes the symbiotic system from two aspects: the balanced development of three species and the competitive evolution of the three species, taking the sales volume of three local automobile enterprises in China as the sample for empirical analysis. The symbiotic optimization under the equilibrium state of three populations indicates that there is the possibility of equilibrium and reciprocity in the growth of three automobile product populations. The empirical analysis fully explains the feasibility of this research paradigm. The analysis of competition evolution shows that cooperative action is better than competitive strategy and that comprehensive cooperation is the ideal state of a three-population symbiotic system. |
| format | Article |
| id | doaj-art-49debd8199fb4f2da06c142007e57b16 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-49debd8199fb4f2da06c142007e57b162025-08-20T02:39:22ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/99351279935127Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra ModelSheng-Yuan Wang0Wan-Ming Chen1Xiao-Lan Wu2College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, ChinaCollege of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, ChinaNanjing XiaoZhuang University, Nanjing, Jiangsu 211171, ChinaThe classical Lotka–Volterra model is mainly a two-dimensional configuration. The two-dimensional form limits the application scenarios of the Lotka–Volterra model. The research objective of this paper is to develop a feasible three population equilibrium model to analyze the industry competition. In order to expand the Lotka–Volterra model to empirical analysis, this paper proposes a symbiosis model of enterprise population based on a three-dimensional Lotka–Volterra model. This paper analyzes the symbiotic system from two aspects: the balanced development of three species and the competitive evolution of the three species, taking the sales volume of three local automobile enterprises in China as the sample for empirical analysis. The symbiotic optimization under the equilibrium state of three populations indicates that there is the possibility of equilibrium and reciprocity in the growth of three automobile product populations. The empirical analysis fully explains the feasibility of this research paradigm. The analysis of competition evolution shows that cooperative action is better than competitive strategy and that comprehensive cooperation is the ideal state of a three-population symbiotic system.http://dx.doi.org/10.1155/2021/9935127 |
| spellingShingle | Sheng-Yuan Wang Wan-Ming Chen Xiao-Lan Wu Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model Discrete Dynamics in Nature and Society |
| title | Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model |
| title_full | Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model |
| title_fullStr | Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model |
| title_full_unstemmed | Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model |
| title_short | Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model |
| title_sort | competition analysis on industry populations based on a three dimensional lotka volterra model |
| url | http://dx.doi.org/10.1155/2021/9935127 |
| work_keys_str_mv | AT shengyuanwang competitionanalysisonindustrypopulationsbasedonathreedimensionallotkavolterramodel AT wanmingchen competitionanalysisonindustrypopulationsbasedonathreedimensionallotkavolterramodel AT xiaolanwu competitionanalysisonindustrypopulationsbasedonathreedimensionallotkavolterramodel |