m-SIMPLEKSNING KVADRATIK GOMEOMORFIZMLARI VA UNING XOSSLARI

Authors

  • Maqsimova Sarvinoz Valijon qizi Andijon Davlat univarsiteti 1-bosqich tayanch doktoranti Author

Keywords:

simpleks, dinamik sistema, Lotka-Volterra operatori, graf, turnir.

Abstract

  Populyatsion genetikasi masalalarida biologik tizimning vaqt davomida evolyutsiyasini o‘rganish zarurati tug‘iladi. Ko‘pgina hollarda tizim evolyutsiyasi simpеksning o‘ziga kvadratik akslantirishlari yordamida tasvirlanadi. Biologik nuqtai nazardan, evolyutsiya operatorining gomeomorfizmi tizimning hozirgi holatidan kelib chiqib, biologik tizimning o‘tgan tarixini tiklash imkonini beradi. Lotka-Volterra akslantirishining kvadratik varianti kvadratik gomeomorfizmlarning xususiy holati hisoblanadi.

References

1. Ganikhodzhaev R.N., Tadzhieva M.A., Eshmamatova D.B. Dynamical properties of quadratic homeomorphisms of a finite-dimensional simplex // Journal of Mathematical Sciences, March, 2020. Vol. 245. 3. P. 398-402. (Scopus. IF=0.28).

Ganikhodzhaev R.N. A chart of fixed points and Lyapunov functions for a class of discrete dynamical systems // Math. Notes. — 1994.— V. 56, № 5. — p. 1125- 1131.

Ganikhodzhaev R. N., Eshniyazov A. I. Biostochastic quadratic operators // Uzbek. Mat. J. —2004. —№ 3. —p. 29-34.

Galor O. Discrete dynamical systems // Springer. —Berlin —2007. —p. 153

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Published

2024-12-25