LEADER 01968nam 2200613 450 001 9910809974303321 005 20231109095753.0 010 $a9781119087397 010 $a1-119-08739-2 035 $a(CKB)4340000000192755 035 $a(MiAaPQ)EBC4926388 035 $a(Au-PeEL)EBL4926388 035 $a(CaPaEBR)ebr11417827 035 $a(CaONFJC)MIL1035469 035 $a(OCoLC)999658504 035 $a(EXLCZ)994340000000192755 100 $a20170803d2017 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEnergy principles and variational methods in applied mechanics /$fJ.N. Reddy, (Texas A&M University, USA) 205 $aThird edition. 210 1$aHoboken, New Jersey :$cWiley,$d2017. 215 $a1 online resource (973 pages) $cillustrations 311 1 $a9781119087373 311 1 $a1-119-08737-6 320 $aIncludes bibliographical references and index. 606 $aMecānica aplicada$xModels matemātics$2lemac 606 $aCālcul de variacions$2lemac 606 $aElements finits, Mčtode dels$2lemac 606 $aEnergia$2lemac 606 $aMechanics, Applied$xMathematics 606 $aCalculus of variations 606 $aFinite element method 606 $aForce and energy 615 7$aMecānica aplicada$xModels matemātics 615 7$aCālcul de variacions 615 7$aElements finits, Mčtode dels 615 7$aEnergia 615 0$aMechanics, Applied$xMathematics. 615 0$aCalculus of variations. 615 0$aFinite element method. 615 0$aForce and energy. 676 $a620.1/01/51564 700 $aRet?t?i$b J. N.$01711247 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910809974303321 996 $aEnergy principles and variational methods in applied mechanics$94102426 997 $aUNINA LEADER 04923nam 22006615 450 001 9910855378203321 005 20251113174159.0 010 $a9783031499715 024 7 $a10.1007/978-3-031-49971-5 035 $a(CKB)31801761300041 035 $a(MiAaPQ)EBC31310968 035 $a(Au-PeEL)EBL31310968 035 $a(DE-He213)978-3-031-49971-5 035 $a(EXLCZ)9931801761300041 100 $a20240429d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Modeling and Control in Life and Environmental Sciences $eRegional Control Problems /$fby Sebastian Ani?a, Vincenzo Capasso, Simone Scacchi 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2024. 215 $a1 online resource (284 pages) 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 311 08$a9783031499708 320 $aIncludes bibliographical references and index. 327 $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. 330 $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 MATLABŠ 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. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 606 $aMathematical models 606 $aBiomathematics 606 $aSystem theory 606 $aControl theory 606 $aDynamics 606 $aMathematical Modeling and Industrial Mathematics 606 $aMathematical and Computational Biology 606 $aSystems Theory, Control 606 $aDynamical Systems 615 0$aMathematical models. 615 0$aBiomathematics. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aDynamics. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical and Computational Biology. 615 24$aSystems Theory, Control. 615 24$aDynamical Systems. 676 $a570.15118 700 $aAnit?a$b Sebastian$0518157 702 $aCapasso$b Vincenzo 702 $aScacchi$b Simone 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910855378203321 996 $aMathematical Modeling and Control in Life and Environmental Sciences$94248745 997 $aUNINA