04923nam 22006615 450 991085537820332120251113174159.0978303149971510.1007/978-3-031-49971-5(CKB)31801761300041(MiAaPQ)EBC31310968(Au-PeEL)EBL31310968(DE-He213)978-3-031-49971-5(EXLCZ)993180176130004120240429d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierMathematical Modeling and Control in Life and Environmental Sciences Regional Control Problems /by Sebastian Aniţa, Vincenzo Capasso, Simone Scacchi1st ed. 2024.Cham :Springer International Publishing :Imprint: Birkhäuser,2024.1 online resource (284 pages)Modeling and Simulation in Science, Engineering and Technology,2164-37259783031499708 Includes bibliographical references and index.Part I: Regional Control of Spatially Structured Epidemics -- Regional Control for a Class of Spatially Structured Epidemics -- Controlling the Spread of a Vector-Borne Epidemic: The Case of Malaria -- Part II: Optimal Harvesting -- Optimal Harvesting: Space Dependence -- Optimal Harvesting: Age Dependence -- Part III: Controlling Epidemics in Agriculture -- Controlling Xyllela fastidiosa -- Controlling an Epidemic in Agriculture by Predators -- Part IV: Controlling Environmental Pollution in Geographical Economics -- Appendix A: Special Topics for Integro-Differential Equations -- Appendix B: Essentials of Numerical Methods.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.Modeling and Simulation in Science, Engineering and Technology,2164-3725Mathematical modelsBiomathematicsSystem theoryControl theoryDynamicsMathematical Modeling and Industrial MathematicsMathematical and Computational BiologySystems Theory, ControlDynamical SystemsMathematical models.Biomathematics.System theory.Control theory.Dynamics.Mathematical Modeling and Industrial Mathematics.Mathematical and Computational Biology.Systems Theory, Control.Dynamical Systems.570.15118Aniţa Sebastian518157Capasso VincenzoScacchi SimoneMiAaPQMiAaPQMiAaPQ9910855378203321Mathematical Modeling and Control in Life and Environmental Sciences4248745UNINA