On the qualitative analysis of a class of Volterra quadratic stochastic operators with continuous time

In this paper, a continuous analog of one class of Volterra quadratic stochastic operators with continuous time is studied. A qualitative analysis of the operators is carried out, and numerical and analytical solutions are found. Analytical solutions are compared with the numerical one, and it is proved that the trajectory of the operator tends to the equilibrium. Fourteen extreme operators are also studied and the results are presented in the form of a table.