Volume 37 • Number 1 • 2014   • On Dynamics of Lotka-Volterra Type Operators Farrukh Mukhamedov and Mansoor Saburov Abstract. In the present paper, we study dynamics of Lotka-Volterra (LV) type operators defined in finite dimensional simplex. We introduce a new class of LV-type operators, called $M$LV type. Some concrete examples are also provided. We prove that trajectories of such kind of operators converge, and moreover, we find an estimation for fixed points of the introduced operators. 2010 Mathematics Subject Classification: 47H60, 46T05, 92B99 Full text: PDF