J
James Watmough
Researcher at University of New Brunswick
Publications - 52
Citations - 9765
James Watmough is an academic researcher from University of New Brunswick. The author has contributed to research in topics: Population & Medicine. The author has an hindex of 21, co-authored 46 publications receiving 7804 citations. Previous affiliations of James Watmough include Virginia Tech & University of Victoria.
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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.
Journal ArticleDOI
Modelling strategies for controlling SARS outbreaks
Abba B. Gumel,Shigui Ruan,Troy Day,James Watmough,Fred Brauer,P. van den Driessche,Dave Gabrielson,Christopher N. Bowman,Murray E. Alexander,Sten Ardal,Jianhong Wu,Beni M. Sahai +11 more
TL;DR: The results reveal that achieving a reduction in the contact rate between susceptible and diseased individuals by isolating the latter is a critically important strategy that can control SARS outbreaks with or without quarantine.
Book ChapterDOI
Further Notes on the Basic Reproduction Number
TL;DR: The basic reproduction number (R0) as discussed by the authors is a measure of the potential for disease spread in a population and is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic.
Journal ArticleDOI
A simple SIS epidemic model with a backward bifurcation
TL;DR: It is shown that an SIS epidemic model with a non-constant contact rate may have multiple stable equilibria, a backward bifurcation and hysteresis, and the consequences for disease control are discussed.
Journal ArticleDOI
Simple models for containment of a pandemic
TL;DR: This work forms compartmental models to describe outbreaks of influenza and attempt to manage a disease outbreak by vaccination or antiviral treatment, and suggests that simple models may be a better way to plan for a threatening pandemic with location and parameters as yet unknown.