# Stability and monotonicity of Lotka-Volterra type operators - Mathematics > Dynamical Systems

Abstract: In the present paper, we study Lotka-Volterra LV type operators defined infinite dimensional simplex. We prove that any LV type operator is a surjectionof the simplex. After, we introduce a new class of LV-type operators, called$M$LV type. We prove convergence of their trajectories and study certain itsproperties. Moreover, we show that such kind of operators have totaly differentbehavior than ${\mathbf{f}}$-monotone LV type operators.

Author: Farrukh Mukhamedov IIUM, Mansoor Saburov IIUM

Source: https://arxiv.org/