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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 ...
- P. van den Driessche, James Watmough
- 2008
Jun 1, 2017 · Pauline van den Driessche. Citations (635) References (68) Figures (3) Abstract and Figures. This primer article focuses on the basic reproduction number, , for infectious diseases, and...
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
The basic reproduction number, R0 is a measure of the potential for disease spread in a population. Mathematically, R0 is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic.
Further Notes on the Basic Reproduction. P. Driessche, James Watmough. Published 1945. Mathematics, Medicine. TLDR. The purpose of these notes is to give a precise definition and algorithm for obtaining R0 for a general compartmental ordinary differential equation model of disease transmission. Expand.
Nov 1, 2002 · A basic reproduction number is introduced for a multi-group SIR model with general relapse distribution and nonlinear incidence rate and it is proven that if it is less than or equal to one, the disease-free equilibrium is globally stable and the disease dies out.
Jan 1, 2002 · Book PDF Available. Mathematical approaches for emerging and reemerging infectious diseases an introduction. January 2002. Publisher: Springer. ISBN: 9780387953540. Authors: Carlos...
