Abstract
It is well-known that discrete-time Kolmogorov systems play important role in studying predator-prey models with interactions. A topic of this paper deals with stochastic discrete-time Kolmogorov systems which are called Lotka–Volterra operators. In the present paper, we provide a new class of LV operators, and establish that each of operator from this class has historical behavior, that is, their time averages diverge.
Original language | English |
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Pages (from-to) | 11380-11389 |
Number of pages | 10 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 45 |
Issue number | 17 |
DOIs | |
Publication status | Published - Nov 30 2022 |
Keywords
- Kolmogorov system
- Lotka–Volterra operator
- historical behavior
- non-ergodic
ASJC Scopus subject areas
- Mathematics(all)
- Engineering(all)