Mathematical Structures of Ergodicity and Chaos in Population Dynamics
暫譯: 人口動態中的遍歷性與混沌的數學結構

Mitkowski, Pawel J.

  • 出版商: Springer
  • 出版日期: 2020-09-20
  • 售價: $4,080
  • 貴賓價: 9.5$3,876
  • 語言: 英文
  • 頁數: 97
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030576779
  • ISBN-13: 9783030576776
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

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.

商品描述(中文翻譯)

本書探討與生物數學、醫學或工程師所實踐的控制論相關的議題。考慮到的族群動態模型仍然引起研究人員的興趣,尤其是在當前SARS-CoV-2冠狀病毒大流行期間,這種興趣甚至有所增加,因為模型被密切研究以幫助預測其在人類族群中的行為。本書討論了族群動態模型的結構以及尋找其解的實用方法。最後,分析了A. Lasota所提出的紅血球生成反應動態模型的非平凡遍歷性質的假設,該模型以具有單峰反饋的延遲微分方程形式表達。這項研究可以與實際醫療數據進行比較,並顯示族群模型的結構可以反映現實的動態結構。