

Functional analysis and its applications
June 7, 2018 10:30–11:50






Volterra quadratic stochastic operators of a twosex population
U. U. Jamilov^{} ^{} V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan

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Abstract:
We introduce the notion of Volterra quadratic stochastic operators of a twosex population. The fixed points of Volterra quadratic stochastic operators of a twosex population is studied. Several Lyapunov functions are constructed for these operators. An upper bound for the limit set of trajectories is obtained. It is shown that the set of all Volterra quadratic stochastic operators of a twosex population is a convex compact set, and the extreme points of this set are found. Volterra quadratic stochastic operators of a twosex population that have a 2periodic orbit (trajectory) are constructed.

