Stability and Monotonicity of Lotka–Volterra Type Operators

• Farrukh Mukhamedov ^[1] ; Mansoor Saburov ^[1]
  1. [1] International Islamic University Malaysia (Malasia)
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 2, 2017, págs. 249-267
• Idioma: inglés
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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.