Stability and monotonicity of Lotka–Volterra type operators

Mukhamedov, Farrukh and Saburov, Mansoor (2017) Stability and monotonicity of Lotka–Volterra type operators. Qualitative Theory of Dynamical Systems, 16 (2). pp. 249-267. ISSN 1575-5460 E-ISSN 1662-3592

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Abstract

In the present paper,we investigate stability of trajectories ofLotka–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.

Item Type:	Article (Journal)
Additional Information:	5537/59919
Uncontrolled Keywords:	Lotka–Volterra type operators, Surjection, Stability, Monotone operator, Simplex
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	08 Dec 2017 16:15
Last Modified:	23 Jan 2018 14:28
URI:	http://irep.iium.edu.my/id/eprint/59919

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