Mathematical Modeling and Control in Life and Environmental Sciences: Regional Control Problems
Aniţa, Sebastian, Capasso, Vincenzo, Scacchi, Simone
- 出版商: Birkhauser Boston
- 出版日期: 2024-04-30
- 售價: $6,190
- 貴賓價: 9.5 折 $5,881
- 語言: 英文
- 頁數: 277
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031499700
- ISBN-13: 9783031499708
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商品描述
This monograph explores the use of mathematical modeling and control theory in a variety of contemporary challenges in mathematical biology and environmental sciences. Emphasizing an approach of learning by doing, the authors focus on a set of significant case studies emerging from real-world problems and illustrate how mathematical techniques and computational experiments can be employed in the search for sustainable solutions.
The following topics are extensively discussed:
This text is aimed at mathematicians, engineers, and other scientists working in areas such as biology, medicine, and economics. Graduate and advanced undergraduate students of a quantitative subject related to the analysis and applications of dynamical systems and their control will also find it to be a valuable resource.
The following topics are extensively discussed:
- Eradicability and control of a paradigmatic epidemic model, with a view to the existence of endemic states, their stability, and the existence of travelling waves
- A spatially structured epidemic model concerning malaria as an example of vector-borne epidemics
- Optimal harvesting problems for space-structured and age-structured population dynamics
- Controlling epidemics in agriculture due to pest insects
- The role of predators as a possible biocontrol agent of epidemics in agriculture
- Control by taxation of the environmental pollution produced by human activities
This text is aimed at mathematicians, engineers, and other scientists working in areas such as biology, medicine, and economics. Graduate and advanced undergraduate students of a quantitative subject related to the analysis and applications of dynamical systems and their control will also find it to be a valuable resource.
商品描述(中文翻譯)
這本專著探討數學建模和控制理論在數學生物學和環境科學中的各種當代挑戰中的應用。作者強調以實踐學習的方式,專注於一系列來自現實世界問題的重要案例研究,並說明如何運用數學技術和計算實驗來尋求可持續解決方案。
以下主題被廣泛討論:
- 一個典型流行病模型的消滅和控制,關注存在地方性狀態、其穩定性以及行波的存在
- 一個關於瘧疾的空間結構流行病模型,作為傳媒傳播流行病的例子
- 空間結構和年齡結構人口動態的最優收穫問題
- 由於害蟲引起的農業流行病的控制
- 捕食者作為農業流行病生物控制劑的可能角色
- 通過稅收控制人類活動產生的環境污染
這本書針對數學家、工程師和其他在生物學、醫學和經濟學等領域工作的科學家。與動態系統分析和應用相關的量化學科的研究生和高年級本科生也會發現它是一個有價值的資源。