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Mathematical structures of ergodicit...

Mitkowski, Pawel J.

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Mathematical structures of ergodicity and chaos in population dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical structures of ergodicity and chaos in population dynamics/ by Pawel J. Mitkowski.
Author:	Mitkowski, Pawel J.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xii, 97 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Dynamics of the red blood cell system -- Mathematical basics -- Chaos and ergodic theory -- The Lasota-Wazewska Equation -- Lasota equation with unimodal regulation.
Contained By:	Springer Nature eBook
Subject:	Ergodic theory. -
Online resource:	https://doi.org/10.1007/978-3-030-57678-3
ISBN:	9783030576783

Mathematical structures of ergodicity and chaos in population dynamics
Mitkowski, Pawel J.

Mathematical structures of ergodicity and chaos in population dynamics[electronic resource] /by Pawel J. Mitkowski. - Cham :Springer International Publishing :2021. - xii, 97 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.3122198-4182 ;. - Studies in systems, decision and control ;v.312..

Introduction -- Dynamics of the red blood cell system -- Mathematical basics -- Chaos and ergodic theory -- The Lasota-Wazewska Equation -- Lasota equation with unimodal regulation.

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.

ISBN: 9783030576783

Standard No.: 10.1007/978-3-030-57678-3doiSubjects--Topical Terms:

555691
Ergodic theory.

LC Class. No.: QA313 / .M57 2021

Dewey Class. No.: 515.48

Mathematical structures of ergodicity and chaos in population dynamics
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100 1 $a Mitkowski, Pawel J. $3 3486035
245 1 0 $a Mathematical structures of ergodicity and chaos in population dynamics $h [electronic resource] / $c by Pawel J. Mitkowski.
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300 $a xii, 97 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4182 ; $v v.312
505 0 $a Introduction -- Dynamics of the red blood cell system -- Mathematical basics -- Chaos and ergodic theory -- The Lasota-Wazewska Equation -- Lasota equation with unimodal regulation.
520 $a 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.
650 0 $a Ergodic theory. $3 555691
650 0 $a Chaotic behavior in systems. $3 524350
650 0 $a Population $x Mathematical models. $3 731140
650 0 $a Biomathematics. $3 523796
650 1 4 $a Theory of Computation. $3 892514
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650 2 4 $a Mathematical Applications in Computer Science. $3 1567978
650 2 4 $a Biomedical Engineering and Bioengineering. $3 3381533
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830 0 $a Studies in systems, decision and control ; $v v.312. $3 3486036
856 4 0 $u https://doi.org/10.1007/978-3-030-57678-3
950 $a Engineering (SpringerNature-11647)