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Modeling Infectious Diseases in Humans and Animals
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TLDR
Mathematical modeling of infectious dis-eases has progressed dramatically over the past 3 decades and continues to be a valuable tool at the nexus of mathematics, epidemiol-ogy, and infectious diseases research.Abstract:
By Matthew James Keelingand Pejman RohaniPrinceton, NJ: Princeton University Press,2008.408 pp., Illustrated. $65.00 (hardcover).Mathematical modeling of infectious dis-eases has progressed dramatically over thepast 3 decades and continues to flourishat the nexus of mathematics, epidemiol-ogy, and infectious diseases research. Nowrecognized as a valuable tool, mathemat-ical models are being integrated into thepublic health decision-making processmore than ever before. However, despiterapid advancements in this area, a formaltraining program for mathematical mod-eling is lacking, and there are very fewbooks suitable for a broad readership. Tosupport this bridging science, a commonlanguage that is understood in all con-tributing disciplines is required.read more
Citations
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Epidemic processes in complex networks
TL;DR: A coherent and comprehensive review of the vast research activity concerning epidemic processes is presented, detailing the successful theoretical approaches as well as making their limits and assumptions clear.
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Identification of influential spreaders in complex networks
Maksim Kitsak,Maksim Kitsak,Lazaros K. Gallos,Shlomo Havlin,Fredrik Liljeros,Lev Muchnik,H. Eugene Stanley,Hernán A. Makse +7 more
TL;DR: This paper showed that the most efficient spreaders are not always necessarily the most connected agents in a network, and that the position of an agent relative to the hierarchical topological organization of the network might be as important as its connectivity.
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Changes in contact patterns shape the dynamics of the COVID-19 outbreak in China.
Juanjuan Zhang,Maria Litvinova,Yuxia Liang,Yan Wang,Wei Wang,Shanlu Zhao,Qianhui Wu,Stefano Merler,Cécile Viboud,Alessandro Vespignani,Alessandro Vespignani,Marco Ajelli,Hongjie Yu +12 more
TL;DR: It is found that social distancing alone, as implemented in China during the outbreak, is sufficient to control COVID-19, and children 0 to 14 years of age are less susceptible to severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection.
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“Herd Immunity”: A Rough Guide
TL;DR: Historical, epidemiologic, theoretical, and pragmatic public health perspectives on the concept of herd immunity are provided.
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Bayesian Filtering and Smoothing
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References
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Book
Infectious Diseases of Humans: Dynamics and Control
Roy M. Anderson,Robert M. May +1 more
TL;DR: This book discusses the biology of host-microparasite associations, dynamics of acquired immunity heterogeneity within the human community indirectly transmitted helminths, and the ecology and genetics of hosts and parasites.
Journal ArticleDOI
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
TL;DR: A precise definition of the basic reproduction number, R0, is presented for a general compartmental disease transmission model based on a system of ordinary differential equations and it is shown that, if R0<1, then the disease free equilibrium is locally asymptotically stable; whereas if R 0>1,Then it is unstable.
Journal ArticleDOI
The Mathematics of Infectious Diseases
TL;DR: Threshold theorems involving the basic reproduction number, the contact number, and the replacement number $R$ are reviewed for classic SIR epidemic and endemic models and results with new expressions for $R_{0}$ are obtained for MSEIR and SEIR endemic models with either continuous age or age groups.
Journal ArticleDOI
Emerging Infectious Diseases of Wildlife-- Threats to Biodiversity and Human Health
TL;DR: These phenomena have two major biological implications: many wildlife species are reservoirs of pathogens that threaten domestic animal and human health; second, wildlife EIDs pose a substantial threat to the conservation of global biodiversity.