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Mathematical structures of ergodicit...

Mitkowski, Pawel J.

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 dynamicsby Pawel J. Mitkowski.
Author:	Mitkowski, Pawel J.
Published:	Cham :Springer International Publishing :2021.
Description:	xii, 97 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Ergodic theory.
Online resource:	https://doi.org/10.1007/978-3-030-57678-3
ISBN:	9783030576783$q(electronic bk.)

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.3..

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$q(electronic bk.)

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

219112
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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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.
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