Results 81 to 90 of about 929,882 (177)
The basic reproduction number, $R_0$, in structured populations [PDF]
arXiv, 2019 In this paper, we provide a straightforward approach to defining and deriving the key epidemiological quantity, the basic reproduction number, $R_0$, for Markovian epidemics in structured populations. The methodology derived is applicable to, and demonstrated on, both $SIR$ and $SIS$ epidemics and allows for population as well as epidemic dynamics. The
arxiv
Competition-exclusion and coexistence in a two-strain SIS epidemic model in patchy environments [PDF]
arXiv, 2023 This work examines the dynamics of solutions of a two-strain SIS epidemic model in patchy environments. The basic reproduction number $\mathcal{R}_0$ is introduced, and sufficient conditions are provided to guarantee the global stability of the disease-free equilibrium (DFE). In particular, the DFE is globally stable when either: (i) $\mathcal{R}_0\le \
arxiv
An Introduction to The Basic Reproduction Number in Mathematical Epidemiology★
ESAIM: Proceedings and Surveys, 2018 This article introduces the notion of basic reproduction number R0 in mathematical epi-demiology. After an historic reminder describing the steps leading to the statement of its mathematical definition, we explain the next-generation matrix method ...
Perasso Antoine
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A mathematical model for the novel coronavirus epidemic in Wuhan, China
Mathematical Biosciences and Engineering, 2020 We propose a mathematical model to investigate the current outbreak of the coronavirus disease 2019 (COVID-19) in Wuhan, China. Our model describes the multiple transmission pathways in the infection dynamics, and emphasizes the role of the environmental
Chayu Yang, Jin Wang
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Infectious Diseases of Poverty, 2020 Background Coronavirus disease 2019 (COVID-19) has caused a serious epidemic around the world, but it has been effectively controlled in the mainland of China. The Chinese government limited the migration of people almost from all walks of life.
Yong Li +3 more
semanticscholar +1 more source
One Health, 2021 This paper aims at evaluating the effectiveness of different intervention measures against the infection of avian influenza A (H7N9) by using an epidemiological model.
Xueli Wei +4 more
doaj
Mathematical model for the control of measles
Journal of Applied Sciences and Environmental Management, 2018 We proposed a mathematical model of measles disease dynamics with vaccination by considering the total number of recovered individuals either from natural recovery or recovery due to vaccination.
O.J. Peter +4 more
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On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
SIAM Journal on Applied Mathematics, 2019 The basic reproduction number $R_0$ serves as a threshold parameter of many epidemic models for disease extinction or spread.
Pierre Magal, G. Webb, Yixiang Wu
semanticscholar +1 more source
Threshold dynamics of a periodic SIR model with delay in an infected compartment
Mathematical Biosciences and Engineering, 2014 Threshold dynamics of epidemic models in periodic environmentsattract more attention. But there are few papers which are concernedwith the case where the infected compartments satisfy a delaydifferential equation.
Zhenguo Bai
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Estimating the reproduction number of Ebola virus (EBOV) during the 2014 outbreak in West Africa [PDF]
, 2014 The 2014 Ebola virus (EBOV) outbreak in West Africa is the largest outbreak of the genus Ebolavirus to date. To better understand the spread of infection in the affected countries, it is crucial to know the number of secondary cases generated by an infected index case in the absence and presence of control measures, i.e., the basic and effective ...
arxiv +1 more source