Identifiability and Observability in Epidemiological Models: A Primer
暫譯: 流行病學模型中的可識別性與可觀察性：入門指南

Cunniffe, Nik, Hamelin, Frédéric, Iggidr, Abderrahman

Identifiability and Observability in Epidemiological Models: A Primer
  • 出版商: Springer
  • 出版日期: 2024-07-03
  • 售價: $2,230
  • 貴賓價: 9.5 折 $2,119
  • 語言: 英文
  • 頁數: 108
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9819725380
  • ISBN-13: 9789819725380

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商品描述

This book introduces the concepts of identifiability and observability in mathematical epidemiology, as well as those of observers' constructions. It first exposes and illustrates on several examples the mathematical definitions and properties of observability and identifiability. A chapter is dedicated to the well-known Kermack McKendrick model, for which the complete analysis of identifiability and observability is not available in the literature. Then, several techniques of observer constructions, in view of online estimation of state and parameters, are presented and deployed on several models. New developments relevant for applications in epidemiology are also given. Finally, practical considerations are discussed with data and numerical simulations related to models previously analysed in the book.

The book will be appealing to epidemiological modellers and mathematicians working on models in epidemiology.This book contributes to Sustainable Development Goal 3 (SDG3): Good Health and Well Being.

商品描述(中文翻譯)

本書介紹了數學流行病學中的可識別性和可觀察性概念，以及觀察者建構的相關內容。首先，通過幾個例子揭示並說明可觀察性和可識別性的數學定義和性質。本書有一章專門討論著名的 Kermack McKendrick 模型，該模型的可識別性和可觀察性的完整分析在文獻中尚未可得。接著，介紹了幾種觀察者建構技術，以便進行狀態和參數的在線估計，並在幾個模型上進行了應用。此外，還提供了與流行病學應用相關的新發展。最後，討論了與書中先前分析的模型相關的數據和數值模擬的實際考量。

本書將吸引從事流行病學模型的流行病學建模者和數學家。*本書對可持續發展目標3（SDG3）：良好的健康與福祉有所貢獻。*

作者簡介

Nik Cunniffe is the head of Theoretical and Computational Epidemiology Group, Department of Plant Sciences, University of Cambridge (UK). His research focuses on modelling the spread, detection, evolution and control of plant pests and pathogens. His theoretical work uses deterministic, stochastic and spatial models to improve strategic understanding, while his applied work concentrates on using models to understand how detection and control can be optimized.

Frédéric Hamelin is Associate Professor in Quantitative Plant Disease Epidemiology at L'Institut Agro, Rennes, France. He is a member of the DEMECOLOGY (Dynamics, Evolution, Modelling, Ecology) Research Group of the Institute of Genetics, Environment and Plant Protection (IGEPP). His work is at the interface between mathematical ecology and plant disease epidemiology.

Abderrahman Iggidr is a full-time INRIA researcher at IECL (Institut Elie Cartan de Lorraine), France. His research interests include the control theory (stabilization of nonlinear systems, observability, and construction of observers), the mathematical epidemiology (modelling and model validation using data, qualitative and quantitative properties of epidemics models, design of software sensors for biological systems, dynamical estimation of unmeasured state variables and unknown parameters, etc.), and the modelling and control of renewable resources.

Alain Rapaport is a senior INRAE researcher at MISTEA (Mathematics, Informatics and Statistics for Environmental and Agronomics) Research Lab, Montpellier, France. His research interests include the modelling, control and optimization for microbial ecology; the management of renewable natural resources; and the theory of control and observation of dynamical systems and optimal control.

Gauthier Sallet is Emeritus Professor at IECL (Institut Elie Cartan de Lorraine), France. His main research activity is about the application of control theory to epidemiological models. He has been the team leader of the MASAIE (Tools and models of nonlinear control theory for epidemiology and immunology) INRIA Research Group from 2008 to 2014.

作者簡介(中文翻譯)

Nik Cunniffe 是英國劍橋大學植物科學系理論與計算流行病學組的負責人。他的研究專注於植物害蟲和病原體的擴散、檢測、演變和控制的建模。他的理論工作使用確定性、隨機和空間模型來改善戰略理解，而他的應用工作則集中於利用模型來理解如何優化檢測和控制。

Frédéric Hamelin 是法國雷恩的L'Institut Agro定量植物病害流行病學副教授。他是遺傳學、環境與植物保護研究所（IGEPP）DEMCOLOGY（動態、演變、建模、生態）研究小組的成員。他的工作位於數學生態學和植物病害流行病學之間。

Abderrahman Iggidr 是法國IECL（洛林艾利·卡坦研究所）的全職INRIA研究員。他的研究興趣包括控制理論（非線性系統的穩定性、可觀測性和觀察者的構建）、數學流行病學（使用數據進行建模和模型驗證、流行病模型的定性和定量特性、生物系統的軟體感測器設計、未測量狀態變數和未知參數的動態估計等）以及可再生資源的建模和控制。

Alain Rapaport 是法國蒙彼利埃MISTEA（環境與農業的數學、資訊學和統計）研究實驗室的高級INRAE研究員。他的研究興趣包括微生態學的建模、控制和優化；可再生自然資源的管理；以及動態系統的控制和觀測理論及最優控制。

Gauthier Sallet 是法國IECL（洛林艾利·卡坦研究所）的名譽教授。他的主要研究活動是將控制理論應用於流行病學模型。他曾於2008年至2014年擔任MASAIE（流行病學和免疫學的非線性控制理論工具和模型）INRIA研究小組的團隊負責人。

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