Historical behavior for a class of Lotka–Volterra systems

Uygun Jamilov, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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 languageEnglish
Pages (from-to)11380-11389
Number of pages10
JournalMathematical Methods in the Applied Sciences
Issue number17
Publication statusPublished - Nov 30 2022


  • Kolmogorov system
  • Lotka–Volterra operator
  • historical behavior
  • non-ergodic

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering


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