Mathematical Structures of Ergodicity and Chaos in Population Dynamics

Paweł J. Mitkowski (Autor)

Buch | Hardcover

XII, 97 Seiten

2020 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-57677-6 (ISBN)

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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.

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

Erscheinungsdatum	22.09.2020
Reihe/Serie	Studies in Systems, Decision and Control
Zusatzinfo	XII, 97 p. 54 illus., 26 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	342 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie
Schlagworte	Chaos • Ergodicity • Lasota-Wazewska Equation • Nonlinear Dynamics • population dynamics
ISBN-10	3-030-57677-9 / 3030576779
ISBN-13	978-3-030-57677-6 / 9783030576776
Zustand	Neuware