Maqola

On a Family of Volterra Cubic Stochastic Operators

K. A. KurganovFaculty of Mathematics, National University of Uzbekistan, 100174, Tashkent, UzbekistanUygun JamilovAkfa University, 100095, Tashkent, UzbekistanM. O. OkhunovaFaculty of Mathematics, National University of Uzbekistan, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2021en

ABI

Annotatsiya

In present paper we consider a family of discrete time Kolmogorov systems of three interaction population depending on a parameter $$\theta$$ . We show that there is the critic value $$\theta^{*}$$ of parameter $$\theta$$ such that for $$\theta\in(\theta^{*},1]$$ this evolution operator is a non-ergodic transformation and for $$\theta\in[0,\theta^{*})$$ it has property being regular. We give some biological interpretations of our results.

Mavzular

Mathematical Biology Tumor Growth Mathematical and Theoretical Epidemiology and Ecology Models Advanced Thermodynamics and Statistical Mechanics

Identifikatorlar

DOI: 10.1134/s1995080221120222

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