PROGRAM SYSTEMS: THEORY AND APPLICATIONS

12+

 

Online Scientific Journal published by the Ailamazyan Program Systems Institute of the Russian Academy of Sciences

Mathematical Foundations of Programming
Methods for Optimal Control and Control Theory
Artificial Intelligence, Intelligence Systems, Neural Networks
Supercomputing Software and Hardware

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• Содержание выпуска •
• Mathematical Foundations of Programming •
• Methods for Optimal Control and Control Theory •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Supercomputing Software and Hardware •

Methods for Optimal Control and Control Theory

Responsible for the Section: doctor of physico-mathematical Sciences Yury Sachkov.

On the left: assigned number of the paper, submission date, the number of A5 pages contained in the paper, and the reference to the full-text PDF .

 

Article # 18_2020

14 p.

PDF

submitted on 21th Oct 2020 displayed on website on 06th Dec 2020

Lawrence E. Blume, Aleksandra A. Lukina
A Note on Migration Perturbation and Convergence Rates to a Steady State

Using tools developed in the Markov chains literature, we study convergence times in the Leslie population model in the short and middle run. Assuming that the population is in a steady-state and reproduces itself period after period, we address the following question: how long will it take to get back to the steady-state if the population distribution vector was affected by some shock as, for instance, the “brain drain”? We provide lower and upper bounds for the time required to reach a given distance from the steady-state.


Key words: The Leslie population model, migration perturbation, convergence rates to a steady-state.

article citation

http://psta.psiras.ru/read/psta2020_4_17-30.pdf

DOI

https://doi.org/10.25209/2079-3316-2020-11-4-17-30

• Mathematical Foundations of Programming •
• Methods for Optimal Control and Control Theory •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Supercomputing Software and Hardware •

 

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