38 citations · 62 across the 9 of their papers we have counts for
10 papers
On a family of non-Volterra quadratic operators acting on a simplex
Uygun Jamilov, Manuel Ladra
In the present paper, we consider a convex combination of non-Volterra quadratic stochastic operators defined on a finite-dimensional simplex depending on a parameter and study…
A family of non-Volterra quadratic operators corresponding to permutations
U. U. Jamilov
In the present paper we consider a family of non-Volterra quadratic stochastic operators depending on a parameter and study their trajectory behaviors. We find all fixed points…
A prey-predator model with three interacting species
Uygun Jamilov, Michael Scheutzow, Isabell Vorkastner
In this paper we consider a class of discrete time prey-predator models with three interacting species defined on the two-dimensional simplex. For some choices of parameters of the…
On Volterra quadratic stochastic operators of a two-sex population on
O. Castanos, U. U. Jamilov, U. A. Rozikov
We consider a four-parametric family of Volterra quadratic stochastic operators for a bisexual population (i.e., each organism of the population must belong either t…
Asymptotics for a class of iterated random cubic operators
Ale Jan Homburg, Uygun Jamilov, Michael Scheutzow
We consider a class of cubic stochastic operators that are motivated by models for evolution of frequencies of genetic types in populations. We take populations with three mutually…
On the Random Dynamics of Volterra Quadratic Operators
U. U. Jamilov, M. Scheutzow, M. Wilke-Berenguer
We consider random dynamical systems generated by a special class of Volterra quadratic stochastic operators on the simplex . We prove that in contrast to the deterministi…
(G,μ)- Quadratic Stochastic Operators
J. Blath, U. U. Jamilov, M. Scheutzow
We consider a new subclass of quadratic stochastic (evolutionary) operators on the simplex indexed by a finite Abelian group G with heredity law μ. With the help of the notion of s…
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…
Hamiltonian Cycle on the Set of Genotypes and Non-Ergodic Quadratic Stochastic Operators
Nasir N. Ganikhodjaev, Uygun U. Jamilov, Ramazon T. Mukhitdinov
On the set of genotypes we introduce a binary relation generated by Volterra quadratic stochastic operator on dimensional simplex and prove th…
Contracting Quadratic Operators of Bisexual Population
N. N. Ganikhodjaev, U. U. Jamilov
In this paper we find a sufficient condition under which the operator of bisexual population is contraction and show that this condition is not necessary.