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.
- Lotka–Volterra type operators
- Monotone operator
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics