Abstract
Monopoly can cause enormous market problems. The common characteristics of an enterprise evolution are much like those of a biodiversity evolution. In this paper, using the complex system theory and the ecological population evolution theory, we study and discover that an enterprise scale evolution trend accords with a Logistic model. After establishing a Lotka-Volterra evolutionary model of competition between two enterprises, we establish a Lotka-Volterra model of competition among multiple enterprises in a market. Through the analysis of these models, we can understand the essence of enterprise monopoly. By the analyses above, the government can forecast enterprise monopoly for a market in order to avoid corresponding risks early.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cournot, A.A.: Recherches sur les principes mzthematiques de la theorie des richesses. Chez L. Hachette, Paris (1838)
Hu, H.: Deduction of natural monopoly theory. Master’s thesis of Shanghai Academy of Social Sciences (2006)
Sosnick, S.H.: A critique of concepts of workable competition. Q. J. Econ. 72, 380–423 (1958)
Xu, X., Gao, S., Zhou, Q., Liu, J.: Study on evolution of the port system along “maritime silk road” based on logistics and Lotka-Volterra model. Oper. Res. Manage. Sci. 7(8), 172–181 (2018)
Chen, H., Luan, W., Wang, Y.: Evolution model and empirical analysis of port growth. Port Eng. Technol. 46(2), 41–44 (2009)
Cai, M.: Research on evolution of large civil aircraft industry based on logistics model. J. Harbin Univ. Commer. (Nat. Sci. Edn.) 31(3), 374–377 (2015)
Zhou, Z.: Study on competition-cooperation relations of container ports based on Lotka-Volterra model. Chang’an University (2015)
Guo, Y., Wu, Z.: A study on knowledge creation of technological innovative network based on Lotka-Volterra model. J. Intell. 31(6), 139–143 (2012)
Li, K., An, S., Wang, C., Zhu, X.: Competition mechanism of enterprises’ knowledge transmission based on Lotka-Volterra ecological model. R&D Manage. 30(3), 75–84 (2018)
Kun, W., Yan, Z.: Linear Algebra and Its Applications, pp. 60–65. Machinery Industry Press, Beijing (2007)
Li, B., Yu, S.: Some new results of N-population autonomous competition system in Lotka-Volterra model. Applied Mathematics 27(3), 556–564 (2004)
Zeeman, M.L.: Extinction in competitive Lotka-Volterra systems. Proc. Am. Math. Soc. 123(1), 87–96 (1995)
Wang, Y., Xie, W.: A study on dynamic competition between the imitator and the innovator in the ecommerce model. Sci. Sci. Manage. S&T 34(6), 44–51 (2013)
Li, S., Li, S.: Analysis of the competition situation and evolution of domestic civil aviation market based on a nonautonomous Lotka-Volterra model. J. Xi’an Univ. Financ. Econ. 30(30), 35–42 (2018)
Acknowledgments
This research reported herein was supported by the NSFC of China under Grants No. 71571091 and 71771112.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Liu, H., He, J., Chen, X. (2020). Research on Enterprise Monopoly Based on Lotka-Volterra Model. In: Ahram, T., Karwowski, W., Pickl, S., Taiar, R. (eds) Human Systems Engineering and Design II. IHSED 2019. Advances in Intelligent Systems and Computing, vol 1026. Springer, Cham. https://doi.org/10.1007/978-3-030-27928-8_151
Download citation
DOI: https://doi.org/10.1007/978-3-030-27928-8_151
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-27927-1
Online ISBN: 978-3-030-27928-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)