Dynamics of nonlinear stochastic operators and associated Markov measures

Uygun Jamilov, Farrukh Mukhamedov, Farzona Mukhamedova, Abdessatar Souissi

Research output: Contribution to journalArticlepeer-review


The aim of this paper is to examine the stability of a class of nonlinear stochastic operators on a finite-dimensional simplex. We identify a number of properties of the set of the class of stochastic operators, including the stability of each operator. We then use these operators to define non-homogeneous Markov measures that rely on initial data and carry out an investigation into the absolute continuity and singularity of these measures.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
Publication statusAccepted/In press - 2024


  • Markov measure
  • mathematical model
  • singularity
  • stability
  • stochastic system

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering


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