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101 0 $aeng
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181   $ctxt$2rdacontent
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200 10$aMathematical Models in Epidemiology$b[electronic resource] /$fby Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng
205   $a1st ed. 2019.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2019.
215   $a1 online resource (XVII, 619 p. 121 illus., 67 illus. in color.)
225 1 $aTexts in Applied Mathematics,$x0939-2475 ;$v69
311   $a1-4939-9826-9 
327   $aIntroduction; A prelude to mathematical epidemiology -- Simple compartmental models for disease transmission -- Endemic disease models -- Epidemic models -- Models with heterogeneous mixing -- Models for diseases transmitted by vectors -- models for tuberculosis -- Models for HIV?AIDS -- Models for influenza -- Models for Ebola -- Models for malaria -- Dengue fever and the Zika virus -- Disease transmission models withagedpendence -- Spatial structure in disease transmission models -- Epidemiological models incorporating mobility, behavior, and time scales -- Challenges, opportunities, and theoretical epidemiology. .
330   $aThe book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals. .
410  0$aTexts in Applied Mathematics,$x0939-2475 ;$v69
606   $aBiomathematics
606   $aProbabilities
606   $aMathematical models
606   $aPhysiological, Cellular and Medical Topics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31020
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
615  0$aBiomathematics.
615  0$aProbabilities.
615  0$aMathematical models.
615 14$aPhysiological, Cellular and Medical Topics.
615 24$aProbability Theory and Stochastic Processes.
615 24$aMathematical Modeling and Industrial Mathematics.
676   $a614.4
700   $aBrauer$b Fred$4aut$4http://id.loc.gov/vocabulary/relators/aut$066182
702   $aCastillo-Chavez$b Carlos$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aFeng$b Zhilan$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910349329703321
996   $aMathematical Models in Epidemiology$92530453
997   $aUNINA