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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu


The Dynamics of Gonosomal Evolution Operators

Journal of Applied Nonlinear Dynamics 9(2) (2020) 247--257 | DOI:10.5890/JAND.2020.06.007

Akmal T. Absalamov, Utkir A. Rozikov

Samarkand State University, Boulevard str., 140104, Samarkand, Uzbekistan

Institute of Mathematics, 81, Mirzo Ulug’bek str., 100170, Tashkent, Uzbekistan

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Abstract

In this paper we investigate the dynamical systems generated by gonosomal evolution operator of sex linked inheritance depending on parameters. Mainly we study dynamical systems of a hemophilia which is biological group of disorders connected with genes that diminish the body’s ability to control blood clotting or coagulation that is used to stop bleeding when a blood vessel is broken. For the gonosomal operator we discrebe all forms and give explicitly the types of fixed points. Moreover we study limit points of the trajectories of the corresponding dynamical system.

Acknowledgments

Authors thank both referees for their helpful comments.

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