[HTML][HTML] Reproduction numbers of infectious disease models

P Van den Driessche - Infectious disease modelling, 2017 - Elsevier
This primer article focuses on the basic reproduction number, ℛ 0, for infectious diseases,
and other reproduction numbers related to ℛ 0 that are useful in guiding control strategies …

[HTML][HTML] Mathematical epidemiology: Past, present, and future

F Brauer - Infectious Disease Modelling, 2017 - Elsevier
Mathematical epidemiology: Past, present, and future - ScienceDirect Skip to main contentSkip
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An introduction to compartmental modeling for the budding infectious disease modeler

JC Blackwood, LM Childs - Letters in Biomathematics, 2018 - lettersinbiomath.org
Mathematical models are ubiquitous in the study of the transmission dynamics of infectious
diseases, In particular, the classic'susceptible-infectious-recovered'(SIR<) paradigm …

[图书][B] An introduction to mathematical modeling of infectious diseases

MY Li - 2018 - Springer
Mathematical modeling has been increasingly recognized in the public health community as
an important research tool for infectious diseases control. Mathematical models are widely …

Statistical physics of vaccination

Z Wang, CT Bauch, S Bhattacharyya, A d'Onofrio… - Physics Reports, 2016 - Elsevier
Historically, infectious diseases caused considerable damage to human societies, and they
continue to do so today. To help reduce their impact, mathematical models of disease …

[图书][B] Mathematical models in population biology and epidemiology

F Brauer, C Castillo-Chavez, C Castillo-Chavez - 2012 - Springer
Up to now in our study of continuous population models we have been assuming that x (t),
the growth rate of population size at time t, depends only on x (t), the population size at the …

Dynamical models of tuberculosis and their applications

C Castillo-Chavez, B Song - Mathematical Biosciences & …, 2004 - aimsciences.org
The reemergence of tuberculosis (TB) from the 1980s to the early 1990s instigated extensive
researches on the mechanisms behind the transmission dynamics of TB epidemics. This …

[图书][B] Dynamical systems and population persistence

HL Smith, HR Thieme - 2011 - books.google.com
" The mathematical theory of persistence answers questions such as which species, in a
mathematical model of interacting species, will survive over the long term. It applies to …

Further notes on the basic reproduction number

P Van den Driessche, J Watmough - Mathematical epidemiology, 2008 - Springer
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 stability of a disease-free equilibrium and …

A generalized model of social and biological contagion

PS Dodds, DJ Watts - Journal of theoretical biology, 2005 - Elsevier
We present a model of contagion that unifies and generalizes existing models of the spread
of social influences and microorganismal infections. Our model incorporates individual …