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Jamilov, U. U.; Khamraev, A. Yu.; Ladra, M.

On a Volterra cubic stochastic operator. (English) Zbl 1398.37092

Bull. Math. Biol. 80, No. 2, 319-334 (2018).
The authors consider a cubic one-parameter Volterra stochastic operator defined on a finite-dimensional space. They describe the set of fixed points and the invariant sets, and a complete description of the set of limit points is given. They show that such operator is regular and ergodic.
Reviewer: Fengqin Zhang (Yuncheng)

Cited in 14 Documents

MSC:

37N25 Dynamical systems in biology
92D10 Genetics and epigenetics

Keywords:

cubic stochastic operator; Volterra operator; Kolmogorov system
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\textit{U. U. Jamilov} et al., Bull. Math. Biol. 80, No. 2, 319--334 (2018; Zbl 1398.37092)
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