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math.DS2013
Mutation and Chaos in Nonlinear Models of Heredity
Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi
In this short communication, we shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents t…
math.DS2013
Mendelian and Non-Mendelian Quadratic Operators
Nasir Ganikhodjaev, Mansoor Saburov, Uygun Jamilov
In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher's {\textbf{1:1}} principle. In…