Abstract
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.
Original language | English |
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Pages (from-to) | 249-267 |
Number of pages | 19 |
Journal | Qualitative Theory of Dynamical Systems |
Volume | 16 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jul 1 2017 |
Externally published | Yes |
Keywords
- Lotka–Volterra type operators
- Monotone operator
- Simplex
- Stability
- Surjection
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics