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    Stability and monotonicity of Lotkaā€“Volterra type operators

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    In the present paper,we investigate stability of trajectories ofLotkaā€“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
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