Criteria for the Existence of Internal Fixed Points of Lotka-Volterra Quadratic Stochastic Mappings with Homogeneous Tournaments Acting in an $(m-1)$ - Dimensional Simplex

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Authors

  • D.B. Eshmamatova Department of Higher Mathematics of Tashkent State Transport University, Tashkent 100167, Uzbekistan Author
  • M.A. Tadhzieva Department of Higher Mathematics of Tashkent State Transport University, Tashkent 100167, Uzbekistan Author
  • R.N. Ganikhodhzaev Department of Higher Mathematics of Tashkent State Transport University, Tashkent 100167, Uzbekistan Author

DOI:

https://doi.org/10.5890/JAND.2023.12.004

Abstract

It is known, there is a close connection between discrete Lotka-Volterra systems and tournaments. In the paper, we give the concept of a homogeneous tournament, which allows us to obtain new results on the location of fixed points of the Lotka-Volterra systems on the simplex.

References

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PublishedDecember 2023

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 12 No. 4 (2023): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Eshmamatova, D., Tadhzieva, M., & Ganikhodhzaev, R. (2026). Criteria for the Existence of Internal Fixed Points of Lotka-Volterra Quadratic Stochastic Mappings with Homogeneous Tournaments Acting in an $(m-1)$ - Dimensional Simplex. Journal of Applied Nonlinear Dynamics, 12(4), 679-688. https://doi.org/10.5890/JAND.2023.12.004

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