Mathematical epidemiology: Past, present, and future.
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TLDR
A brief outline of some of the important aspects of the development of mathematical epidemiology is given.About:
This article is published in Infectious Disease Modelling.The article was published on 2017-02-04 and is currently open access. It has received 299 citations till now.read more
Citations
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Proceedings ArticleDOI
Random graphs
TL;DR: Some of the major results in random graphs and some of the more challenging open problems are reviewed, including those related to the WWW.
Mathematical Epidemiology Of Infectious Diseases Model Building Analysis And Interpretation
TL;DR: This mathematical epidemiology of infectious diseases model building analysis and interpretation shows how people cope with some malicious virus inside their desktop computer, instead of enjoying a good book with a cup of tea in the afternoon.
Journal ArticleDOI
A Simulation of a COVID-19 Epidemic Based on a Deterministic SEIR Model
TL;DR: An SEIR model is implemented to compute the infected population and the number of casualties of an epidemic disease caused by a new coronavirus in Northern Italy with a strong contagion rate and shows how isolation measures, social distancing, and knowledge of the diffusion conditions help to understand the dynamics of the epidemic.
Journal ArticleDOI
A Time-Varying SIRD Model for the COVID-19 Contagion in Italy.
TL;DR: A modified Susceptible-Infected-Recovered-Deceased (SIRD) model for the contagion is developed, and official data of the pandemic is used for identifying the parameters of this model.
Posted Content
A Modified SIR Model for the COVID-19 Contagion in Italy
TL;DR: A modified Susceptible-Infected-Recovered (SIR) model for the contagion is developed, and official data of the pandemic up to March 30th, 2020 is used for identifying the parameters of this model.
References
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A contribution to the mathematical theory of epidemics
TL;DR: In this article, the authors considered the problem of finding a causal factor which appears to be adequate to account for the magnitude of the frequent epidemics of disease which visit almost every population.
A Contribution to the Mathematical Theory of Epidemics.
TL;DR: The present communication discussion will be limited to the case in which all members of the community are initially equally susceptible to the disease, and it will be further assumed that complete immunity is conferred by a single infection.
Journal ArticleDOI
Exploring complex networks
TL;DR: This work aims to understand how an enormous network of interacting dynamical systems — be they neurons, power stations or lasers — will behave collectively, given their individual dynamics and coupling architecture.
Proceedings ArticleDOI
Random graphs
TL;DR: Some of the major results in random graphs and some of the more challenging open problems are reviewed, including those related to the WWW.
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.
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