Resumen de Stability and Monotonicity of Lotka–Volterra Type Operators

Farrukh Mukhamedov, Mansoor Saburov

• In the present paper, we investigate stability of trajectories of Lotka–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 new class 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.