Stability and Monotonicity of Lotka–Volterra Type Operators
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Farrukh Mukhamedov [1] ; Mansoor Saburov [1]
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[1] International Islamic University Malaysia (Malasia)
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- Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 2, 2017, págs. 249-267
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
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.
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