Mathematical structures of ergodicity and chaos in population dynamics / Paweł J. Mitkowski.
Mitkowski, Paweł J.
2021
QA313
Available Online

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Title Mathematical structures of ergodicity and chaos in population dynamics / Paweł J. Mitkowski.
Author Mitkowski, Paweł J.
ISBN 9783030576783 (electronic bk.)
3030576787 (electronic bk.)
3030576779
9783030576776
DOI https://doi.org/10.1007/978-3-030-57678-3
Imprint Cham, Switzerland : Springer, [2021]
Language English
Description 1 online resource
Other Standard Identifiers 10.1007/978-3-030-57678-3 doi
10.1007/978-3-030-57
Call Number QA313
Dewey Decimal Classification 515/.48
Summary This book concerns issues related to biomathematics, medicine, or cybernetics as practiced by engineers. Considered population dynamics models are still in the interest of researchers, and even this interest is increasing, especially now in the time of SARS-CoV-2 coronavirus pandemic, when models are intensively studied in order to help predict its behaviour within human population. The structures of population dynamics models and practical methods of finding their solutions are discussed. Finally, the hypothesis of the existence of non-trivial ergodic properties of the model of erythropoietic response dynamics formulated by A. Lasota in the form of delay differential equation with unimodal feedback is analysed. The research can be compared with actual medical data, as well as shows that the structures of population models can reflect the dynamic structures of reality.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Series Studies in systems, decision and control ; v. 312.
Available in Other Form Mathematical structures of ergodicity and chaos in population dynamics.
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Introduction
Dynamics of the red blood cell system
Mathematical basics
Chaos and ergodic theory
The Lasota-Ważewska Equation
Lasota equation with unimodal regulation.

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