04056nam 22005895 450 991034932970332120200702110034.01-4939-9828-510.1007/978-1-4939-9828-9(CKB)4100000009522934(DE-He213)978-1-4939-9828-9(MiAaPQ)EBC5941284(PPN)255016123(EXLCZ)99410000000952293420191010d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Models in Epidemiology[electronic resource] /by Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng1st ed. 2019.New York, NY :Springer New York :Imprint: Springer,2019.1 online resource (XVII, 619 p. 121 illus., 67 illus. in color.)Texts in Applied Mathematics,0939-2475 ;691-4939-9826-9 Introduction; 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. .The 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. .Texts in Applied Mathematics,0939-2475 ;69BiomathematicsProbabilitiesMathematical modelsPhysiological, Cellular and Medical Topicshttps://scigraph.springernature.com/ontologies/product-market-codes/M31020Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Biomathematics.Probabilities.Mathematical models.Physiological, Cellular and Medical Topics.Probability Theory and Stochastic Processes.Mathematical Modeling and Industrial Mathematics.614.4Brauer Fredauthttp://id.loc.gov/vocabulary/relators/aut66182Castillo-Chavez Carlosauthttp://id.loc.gov/vocabulary/relators/autFeng Zhilanauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910349329703321Mathematical Models in Epidemiology2530453UNINA