The uniqueness of the fixed point of a strictly non-Volterra quadratic operator

Journal: Science and Education (Vol.3, No. 3)

Publication Date: 2022-03-25

Authors : Zukhra Ikrom kizi Mamadova;

Page : 31-37

Keywords : quadratic stochastic operator; simplex; parameter; population; evolution; Jacobian;

Source : Download Find it from : Google Scholar

Abstract

We consider discrete-time dynamical systems generated by a strictly non-Volterra quadratic stochastic operator defined on the two-dimensional simplex depending on a parameter ???? ∈ [0,1]. We showed that for any value of the parameter ???? such operator has a unique fixed point.

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The uniqueness of the fixed point of a strictly non-Volterra quadratic operator

Abstract

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