Mathematical Modeling and Control in Life and Environmental Sciences : Regional Control Problems

Name: Mathematical Modeling and Control in Life and Environmental Sciences : Regional Control Problems
Author: Anita, Sebastian; Capasso, Vincenzo; Scacchi, Simone
ISBN: 9783031499708

Anita, Sebastian; Capasso, Vincenzo; Scacchi, Simone

Language: English

Published by Birkhäuser, 2024

3031499700 / 9783031499708

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Title: Mathematical Modeling and Control in Life and Environmental Sciences : Regional Control Problems
Author: Anita, Sebastian; Capasso, Vincenzo; Scacchi, Simone
Publisher: Birkhäuser
Publication year: 2024
Condition: New
Binding: Hardcover
Language: English
ISBN 10: 3031499700
ISBN 13: 9783031499708

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:

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

The originality of this text is in its leitmotif – regional control – along the principle of “Think Globally, Act Locally.” Indeed, for example, in many real spatially structured ecosystems, it is practically impossible to control the relevant system by global interventions in the whole habitat.

Proofs are given whenever they may serve as a guide to the introduction of new concepts. Each chapter includes a comprehensive description of the numerical methods used for the computational experiments, and MATLAB© codes for many of the numerical simulations are available for download. Several challenging open problems are also provided to stimulate future research.

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.

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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

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Mathematical Modeling and Control in Life and Environmental Sciences : Regional Control Problems

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