Advertisement

Research on Enterprise Monopoly Based on Lotka-Volterra Model

  • Honghao Liu
  • Jian He
  • Xuebo ChenEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1026)

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.

Keywords

Monopoly Lotka-Volterra (LV) model Logistic model 

Notes

Acknowledgments

This research reported herein was supported by the NSFC of China under Grants No. 71571091 and 71771112.

References

  1. 1.
    Cournot, A.A.: Recherches sur les principes mzthematiques de la theorie des richesses. Chez L. Hachette, Paris (1838)zbMATHGoogle Scholar
  2. 2.
    Hu, H.: Deduction of natural monopoly theory. Master’s thesis of Shanghai Academy of Social Sciences (2006)Google Scholar
  3. 3.
    Sosnick, S.H.: A critique of concepts of workable competition. Q. J. Econ. 72, 380–423 (1958)CrossRefGoogle Scholar
  4. 4.
    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)Google Scholar
  5. 5.
    Chen, H., Luan, W., Wang, Y.: Evolution model and empirical analysis of port growth. Port Eng. Technol. 46(2), 41–44 (2009)Google Scholar
  6. 6.
    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)Google Scholar
  7. 7.
    Zhou, Z.: Study on competition-cooperation relations of container ports based on Lotka-Volterra model. Chang’an University (2015)Google Scholar
  8. 8.
    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)Google Scholar
  9. 9.
    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)Google Scholar
  10. 10.
    Kun, W., Yan, Z.: Linear Algebra and Its Applications, pp. 60–65. Machinery Industry Press, Beijing (2007)Google Scholar
  11. 11.
    Li, B., Yu, S.: Some new results of N-population autonomous competition system in Lotka-Volterra model. Applied Mathematics 27(3), 556–564 (2004)Google Scholar
  12. 12.
    Zeeman, M.L.: Extinction in competitive Lotka-Volterra systems. Proc. Am. Math. Soc. 123(1), 87–96 (1995)MathSciNetCrossRefGoogle Scholar
  13. 13.
    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)Google Scholar
  14. 14.
    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)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.School of Electronic and Information EngineeringUniversity of Science and Technology, LiaoningAnshanChina

Personalised recommendations