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Titlebook: Mathematical Structures of Ergodicity and Chaos in Population Dynamics; Paweł J. Mitkowski Book 2021 The Editor(s) (if applicable) and The

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发表于 2025-3-21 17:10:09 | 显示全部楼层 |阅读模式
书目名称Mathematical Structures of Ergodicity and Chaos in Population Dynamics
编辑Paweł J. Mitkowski
视频video
概述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 dyna
丛书名称Studies in Systems, Decision and Control
图书封面Titlebook: Mathematical Structures of Ergodicity and Chaos in Population Dynamics;  Paweł J. Mitkowski Book 2021 The Editor(s) (if applicable) and The
描述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. 
出版日期Book 2021
关键词Ergodicity; Chaos; Population Dynamics; Nonlinear Dynamics; Lasota-Wazewska Equation
版次1
doihttps://doi.org/10.1007/978-3-030-57678-3
isbn_softcover978-3-030-57680-6
isbn_ebook978-3-030-57678-3Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:20:25 | 显示全部楼层
Chaos and Ergodic Theory,4; Devaney 1987; Bronsztejn et al. 2004). In this book, we will be interested particularly in the approach where chaos is studied using ergodic theory tools (Lasota 1979; Rudnicki 1985a, 2009, 2004; Dawidowicz 1992a). The moment when L. Boltzmann formulated the ergodic hypothesis can probably be con
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Lasota Equation with Unimodal Regulation,haracter (see e.g., Ważewska-Czyżewska 1983; Mackey and Milton 1990). In some cases, it may demonstrate non-monotonic character, or in other words it may be described by a function with one smooth maximum for arguments greater than zero. Such functions are called unimodal (see e.g., Röst and Wu 2007
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trategic progress on certain assumptions for the future. In order to prepare for various developments of the future, it is reasonable to consider different possible scenarios while building a future vision. Thus, this chapter focuses on the methodological approach for the generation of future scenar
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verged architecture supporting multimedia services. Extending the IMS towards provisioning support for location based services (LBS) will enable enhanced services and offer new revenues to the system. However, conveying location information in the IMS and connecting the IMS with a real positioning s
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https://doi.org/10.1007/978-3-030-57678-3Ergodicity; Chaos; Population Dynamics; Nonlinear Dynamics; Lasota-Wazewska Equation
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