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Modeling the Technological Labor Market under Markov Switching, Phase Aggregation, and Levy Approximation
Volume 2026, Issue 1 (2026), pp. 581–591
Anatolii NIKITIN   Vitalina SACHOVSKA  

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https://doi.org/10.47459/cndcgs.2026.67
Pub. online: 9 July 2026      Type: Article      Open accessOpen Access

Published
9 July 2026

Abstract

We construct and study a continuous evolutionary model describing the conflict interaction between automation and the labor market in strategic IT sectors. The system dynamics are based on the Lotka-Volterra framework, enhanced by Markov switching and Levy-type stochastic jumps. This allows for describing the impact of rare but critical events that abruptly change employment levels. By applying phase merging methods, we derive a reduced model that preserves key asymptotic behavior. The approach serves as a tool for analyzing market resilience and strategic risks under global uncertainty.

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Keywords
phase aggregation reducible-invertible operators singular problem perturbation Levy approximation technology labor market

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Generolo Jono Žemaičio Lietuvos karo akademija Šilo g. 5A., LT-10322 Vilnius, el.p: lka@mil.lt

General Jonas Žemaitis Military Academy of Lithuania  Šilo Str. 5A, LT-10322 Vilnius, Lithuania, e-mail: lka@mil.lt

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