Mathematical Structures of Ergodicity and Chaos in Population Dynamics

ISBN-13: 9783030576806 / Angielski / Miękka / 2021 / 112 str.

Paweł J. Mitkowski

Opis

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. 

Spis treści

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