Mathematical Structures of Ergodicity and Chaos in Population Dynamics

1. Auflage 2021
ISBN: 978-3-030-57677-6
Verlag: Springer International Publishing

Buch, Englisch, Band 312, 97 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 342 g

Reihe: Studies in Systems, Decision and Control

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.

Zielgruppe

Research

Autoren/Hrsg.

Mitkowski, Pawe¿ J.

Mitkowski, Pawel J.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizinische Mathematik & Informatik
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik

Inhaltsverzeichnis

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