Journal of Applied Nonlinear Dynamics
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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