LEADER 03720nam 22006495 450 001 9910254174103321 005 20251116171646.0 024 7 $a10.1007/978-3-319-53208-0 035 $a(CKB)3710000001072460 035 $a(DE-He213)978-3-319-53208-0 035 $a(MiAaPQ)EBC4812831 035 $a(PPN)198871287 035 $a(EXLCZ)993710000001072460 100 $a20170225d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInfectious Disease Modeling $eA Hybrid System Approach /$fby Xinzhi Liu, Peter Stechlinski 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVI, 271 p. 72 illus., 67 illus. in color.) 225 1 $aNonlinear Systems and Complexity,$x2195-9994 ;$v19 311 08$a3-319-53206-5 311 08$a3-319-53208-1 320 $aIncludes bibliographical references. 327 $aIntroduction -- Modelling the Spread of an Infectious Disease -- Hybrid Epidemic Models -- Control Strategies for Eradication -- Discussions and Conclusions -- References -- Appendix. 330 $aThis volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes. 410 0$aNonlinear Systems and Complexity,$x2195-9994 ;$v19 606 $aMathematical models 606 $aInfectious diseases 606 $aComputational complexity 606 $aStatistical physics 606 $aEpidemiology 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aInfectious Diseases$3https://scigraph.springernature.com/ontologies/product-market-codes/H33096 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aEpidemiology$3https://scigraph.springernature.com/ontologies/product-market-codes/H63000 615 0$aMathematical models. 615 0$aInfectious diseases. 615 0$aComputational complexity. 615 0$aStatistical physics. 615 0$aEpidemiology. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aInfectious Diseases. 615 24$aComplexity. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aEpidemiology. 676 $a003.3 700 $aLiu$b Xinzhi$4aut$4http://id.loc.gov/vocabulary/relators/aut$041492 702 $aStechlinski$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910254174103321 996 $aInfectious Disease Modeling$92203574 997 $aUNINA