11 research outputs found
Stability and monotonicity of Lotka–Volterra type operators
In the present paper,we investigate stability of trajectories ofLotka–Volterra (LV) type operators defined in finite dimensional simplex.We prove that any LV type
operator is a surjection of the simplex. It is introduced a newclass of LV-type operators, called MLV type ones, and we show that trajectories of the introduced operators converge. Moreover, we show that such kind of operators have totally different behavior than f-monotone LV type operators
Eight papers translated from the russian
Covers a variety of topics including modal logic, arithmetic algebraic geometry, orthogonal polynomials, stochastic matrices, and computing theor