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Mathematical Structures of Ergodicity and Chaos in Population Dynamics: Studies in Systems, Decision and Control, cartea 312

Autor Paweł J. Mitkowski
en Limba Engleză Paperback – 21 sep 2021
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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Specificații

ISBN-13: 9783030576806
ISBN-10: 3030576809
Ilustrații: XII, 97 p. 54 illus., 26 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.17 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Springer
Seria Studies in Systems, Decision and Control

Locul publicării:Cham, Switzerland

Cuprins

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

Textul de pe ultima copertă

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. 

Caracteristici

Discusses Mathematical Structures of Ergodicity and Chaos in Population Dynamics Analyzes 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 Describes the structures of population dynamics models and practical methods of finding their solutions Concerns issues related to biomathematics, medicine, or cybernetics as practiced by engineers Compares the presented research with actual medical data and shows that the structures of population models can reflect the dynamic structures of reality