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020 _a9783031499715
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024 7 _a10.1007/978-3-031-49971-5
_2doi
050 4 _aTA342-343
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072 7 _aMAT003000
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_2thema
100 1 _aAniţa, Sebastian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975976
245 1 0 _aMathematical Modeling and Control in Life and Environmental Sciences
_h[electronic resource] :
_bRegional Control Problems /
_cby Sebastian Aniţa, Vincenzo Capasso, Simone Scacchi.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2024.
300 _aXVI, 277 p. 50 illus., 43 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
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347 _atext file
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490 1 _aModeling and Simulation in Science, Engineering and Technology,
_x2164-3725
505 0 _aPart 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.
520 _aThis 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.
650 0 _aMathematical models.
_966910
650 0 _aBiomathematics.
_970325
650 0 _aSystem theory.
_966519
650 0 _aControl theory.
_968675
650 0 _aDynamical systems.
650 1 4 _aMathematical Modeling and Industrial Mathematics.
_966912
650 2 4 _aMathematical and Computational Biology.
_970327
650 2 4 _aSystems Theory, Control.
_968676
650 2 4 _aDynamical Systems.
700 1 _aCapasso, Vincenzo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975977
700 1 _aScacchi, Simone.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975978
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031499708
776 0 8 _iPrinted edition:
_z9783031499722
776 0 8 _iPrinted edition:
_z9783031499739
830 0 _aModeling and Simulation in Science, Engineering and Technology,
_x2164-3725
_975979
856 4 0 _uhttps://doi.org/10.1007/978-3-031-49971-5
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
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