LEADER 04953nam 22006855 450 001 9910349342703321 005 20200703062337.0 010 $a3-030-21923-2 024 7 $a10.1007/978-3-030-21923-9 035 $a(CKB)4100000009046489 035 $a(DE-He213)978-3-030-21923-9 035 $a(MiAaPQ)EBC5924752 035 $a(PPN)242822045 035 $a(EXLCZ)994100000009046489 100 $a20190816d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantitative Methods for Investigating Infectious Disease Outbreaks /$fby Ping Yan, Gerardo Chowell 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 354 p. 104 illus., 93 illus. in color.) 225 1 $aTexts in Applied Mathematics,$x0939-2475 ;$v70 311 $a3-030-21922-4 327 $aIntroduction -- Shapes of hazard functions and lifetime distributions -- Random counts and counting processes -- The initial phase of an outbreak -- Compartment models -- More complex models and control measures -- Some statistical issues -- Outbreak trajectories -- Spatial structures and behavior change. 330 $aThis book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives. The book is organized into 9 chapters: The first motivates the presentation of the material on subsequent chapters; Chapter 2-3 provides a review of basic concepts of probability and statistical models for the distributions of continuous lifetime data and the distributions of random counts and counting processes, which are linked to phenomenological models. Chapters 4 focuses on dynamic behaviors of a disease outbreak during the initial phase while Chapters 5-6 broadly cover compartment models to investigate the consequences of epidemics as the outbreak moves beyond the initial phase. Chapter 7 provides a transition between mostly theoretical topics in earlier chapters and Chapters 8 and 9 where the focus is on the data generating processes and statistical issues of fitting models to data as well as specific mathematical epidemic modeling applications, respectively. This book is aimed at a wide audience ranging from graduate students to established scientists from quantitatively-oriented fields of epidemiology, mathematics and statistics. The numerous examples and illustrations make understanding of the mathematics of disease transmission and control accessible. Furthermore, the examples and exercises, make the book suitable for motivated students in applied mathematics, either through a lecture course, or through self-study. This text could be used in graduate schools or special summer schools covering research problems in mathematical biology. 410 0$aTexts in Applied Mathematics,$x0939-2475 ;$v70 606 $aMathematics 606 $aMathematical models 606 $aBiomathematics 606 $aInfectious diseases 606 $aEpidemiology 606 $aMathematics of Planet Earth$3https://scigraph.springernature.com/ontologies/product-market-codes/M36000 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aInfectious Diseases$3https://scigraph.springernature.com/ontologies/product-market-codes/H33096 606 $aEpidemiology$3https://scigraph.springernature.com/ontologies/product-market-codes/H63000 615 0$aMathematics. 615 0$aMathematical models. 615 0$aBiomathematics. 615 0$aInfectious diseases. 615 0$aEpidemiology. 615 14$aMathematics of Planet Earth. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematical and Computational Biology. 615 24$aInfectious Diseases. 615 24$aEpidemiology. 676 $a614.4072 676 $a614.4 700 $aYan$b Ping$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781698 702 $aChowell$b Gerardo$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349342703321 996 $aQuantitative Methods for Investigating Infectious Disease Outbreaks$92513904 997 $aUNINA