Stability and monotonicity of Lotka-Volterra type operators - Mathematics > Dynamical SystemsReport as inadecuate




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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/







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