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We write down in detail a general compartmental disease transmission model suited to heterogeneous populations that can be modelled by a system of ordinary differential equations. We derive an expression for the next generation matrix for this model and examine the threshold Ro = 1 in detail.
- P. van den Driessche, James Watmough
- 2002
Jun 1, 2017 · Abstract. This primer article focuses on the basic reproduction number, R0, for infectious diseases, and other reproduction numbers related to R0 that are useful in guiding control strategies ...
Allen and van den Driessche (2008) give details of the assumptions and show that the DFE is locally asymptotically stable if ℛ 0 < 1 but unstable if ℛ 0 > 1.
- P. van Den Driessche
We write down in detail a general compartmental disease transmission model suited to heterogeneous populations that can be modelled by a system of ordinary differential equations. We derive an expression for the next generation matrix for this model and examine the threshold R. o= 1 in detail.
Aug 1, 2017 · TLDR. A model-agnostic evaluation of four different models that estimate a disease’s basic reproduction number, proposed by Thompson et al. (Epidemics 29:100356, 2019), i.e., a Bayesian estimation method well established in epidemiological practice. Expand.
P. van den Driessche and James Watmough Abstract The basic reproduction number, R 0 is a measure of the potential for disease spread in a population. Mathematically, R 0 is a threshold for sta-bility of a disease-free equilibrium and is related to the peak and final size of an epidemic. The purpose of these notes is to give a precise ...
Mar 2, 2021 · Frederic van den Driessche; edit. ... Also known as; English: Frédéric van den Driessche. French actor. Frederic van den Driessche; ... Download as PDF; Printable ...
