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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Mathematical Modeling and Control in Life and Environmental Sciences
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Mathematical Modeling and Control in Life and Environmental Sciences
Sebastian Aniţa, Vincenzo Capasso, Simone Scacchi (Broschiert, Englisch)
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Beschreibung
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. 149,79 €
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Technische Daten
Erscheinungsdatum
01.05.2025
Sprache
Englisch
EAN
9783031499739
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Modeling and Simulation in Science, Engineering and Technology
Sonderedition
Nein
Autor
Sebastian Aniţa, Vincenzo Capasso, Simone Scacchi
Seitenanzahl
277
Einbandart
Broschiert
Buch Untertitel
Regional Control Problems
Schlagwörter
control in mathematical biology, regional control problems for structured populations, spatially structured epidemic model, optimal harvesting problem, mathematical control of epidemics in agriculture, mathematical control of environmental pollution
Thema-Inhalt
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PSAX - DV-gestützte Biologie/Bioinformatik
GPFC - Kybernetik und Systemtheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, ProductSafety@springernature.com
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