Téléchargez le livre : Mathematical Modeling and Control in Life and Environmental Sciences

Mathematical Modeling and Control in Life and Environmental Sciences

Regional Control Problems de

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Éditeur :

Birkhäuser


Collection :

Modeling and Simulation in Science, Engineering and Technology

Paru le : 2024-04-29

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Description

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 wavesA spatially structured epidemic model concerning malaria as an example of vector-borne epidemicsOptimal harvesting problems for space-structured and age-structured population dynamicsControlling epidemics in agriculture due to pest insectsThe role of predators as a possible biocontrol agent of epidemics in agricultureControl by taxation of the environmental pollution produced by human activitiesThe 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.
Pages
277 pages
Collection
Modeling and Simulation in Science, Engineering and Technology
Parution
2024-04-29
Marque
Birkhäuser
EAN papier
9783031499708
EAN PDF
9783031499715
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
27
Taille du fichier
13240 Ko
Prix
147,69 €
EAN EPUB
9783031499715
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
27
Taille du fichier
42721 Ko
Prix
147,69 €

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