Thus, ρ(FV−1) is a threshold parameter in both cases. The difference between the numbers lies in the epidemiological interpretation rather than the mathematical analysis. For example, in column (a), the infection rate is β1+pr2 and an exposed individual is expected to spend ν/((d+ν...
Mathematical Biosciences 180 (2002) 29–48 www.elsevier.com/locate/mbs Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission P. van den Driessche a b a,1 , James Watmough b,*,2 Department of Mathematics and Statistics, University of Victoria, ...
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmissionPublished:2002-11 Issue:1-2 Volume:180 Page:29-48 ISSN:0025-5564 Container-title:Mathematical Biosciences language:en Short-container-title:Mathematical Biosciences ...
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci. 2002;180:29–48. 11. Kakao Corporation, Jeju-si, South Korea. Kakao map. 2017. https://map. kakao.com/. Updated 25 Feb 2019, Accessed 15 Mar 2017. 12. Korea Expressway ...
Van Den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180:29–48 Article MathSciNet MATH Google Scholar Vynnycky E, White R (2010) An introduction to infectious disease modelling. OUP Oxford...
Monitoring regional reproduction numbers (Rt’s): funnel plots and control chart. Panelsa-dshow the Italian regional Rt’s (colour-coded circles, see Supplementary {1} for the legend), plotted against the infectious cases at four selected times. When the epidemic evolution is homogenous across re...
In the deterministic setting, the basic reproduction numberR0is by far the most widely used index in mathematical epidemiology (Li et al.2011; Roberts2007), mainly due to the simplicity of its definition and the fact that it is usually a threshold value establishing that a disease persists only...
Table 6Reproduction numbers from novel influenza outbreaks Full size table 1918 influenza pandemic The origins of the 1918 influenza A/H1N1 pandemic are unknown, and illnesses are thought to have occurred in three waves [1,37]. The first wave began in the Northern Hemisphere in the spring 1918...
ℛ0 is the weighted average of the basic reproduction numbers of deterministic subnetworks. Its position with respect to 1 can determine epidemic persistence or extinction in theories and simulations. Keywords: Network epidemic model semi-Markov switching extinction persistence 2010 Mathematics Subject ...
comparative studies of children born after OS with SC children from subfertile parents found no significant differences22,23. Third, the in vitro manipulation of embryos, including freezing and thawing, and particularly the use of different culture media has been shown to have a significant impact ...