The discrete‐time Kolmogorov systems with historic behavior

DOI10.1002/MMA.6790zbMath1470.92260OpenAlexW3047456211MaRDI QIDQ5003844

Mansoor Saburov

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6790

zbMATH Keywords

predator-prey interactionKolmogorov systemtime averagehistoric behavior

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

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A class of Lotka-Volterra operators with historical behavior ⋮ Historic behavior in discrete-time replicator dynamics ⋮ Stable and historic behavior in replicator equations generated by similar-order preserving mappings ⋮ Krause mean processes generated by cubic stochastic diagonally primitive matrices ⋮ A prey–predator model with three interacting species ⋮ A class of bijective Lotka–Volterra operators and its application ⋮ Krause mean processes generated by cubic stochastic matrices IV: off-diagonally uniformly positive nonautonomous cubic stochastic matrices ⋮ Historic behavior in rock-paper-scissor dynamics ⋮ Historical behavior for a class of Lotka–Volterra systems ⋮ Historic behavior in nonautonomous rock-paper-scissors dynamics ⋮ Uniformly historic behaviour in compact dynamical systems ⋮ Krause Mean Processes Generated by Cubic Stochastic Matrices with Weak Influences ⋮ Historic behaviour vs. physical measures for irrational flows with multiple stopping points ⋮ Bijectivity of a class of Lotka-Volterra operators defined on 2D-simplex

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