Title: Systematic evaluation of the population-level effects of alternative treatment strategies on the basic reproduction number

Journal Article · · Journal of Theoretical Biology
ORCiD logo [1];  [2];  [3]
  1. Saint Petersburg State University, St. Petersburg (Russia)
  2. Universität Greifswald (Germany); Université Perpignan Via Domitia (France)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

An approach to estimate the influence of the treatment-type controls on the basic reproduction number, R0, is proposed and elaborated. The presented approach allows one to estimate the effect of a given treatment strategy or to compare a number of different treatment strategies on the basic reproduction number. All our results are valid for sufficiently small values of the control. However, in many cases it is possible to extend this analysis to larger values of the control as was illustrated by examples.

Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
USDOE; USDOE: Laboratory Directed Research and Development (LDRD)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1489969
Report Number(s):
LA-UR-18-31251
Journal Information:
Journal of Theoretical Biology, Journal Name: Journal of Theoretical Biology Journal Issue: C Vol. 462; ISSN 0022-5193
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (20)

Treatment as prevention: The breaking of taboos is required in the fight against hepatitis C among people who inject drugs: Bruggmann journal September 2013
On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations journal June 1990
The epidemiological impact of antiretroviral use predicted by mathematical models: a review journal September 2005
Hepatitis C virus treatment for prevention among people who inject drugs: Modeling treatment scale-up in the age of direct-acting antivirals: Martin et al. journal August 2013
On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations journal June 1990
To treat or not to treat: the case of tuberculosis journal June 1997
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission journal November 2002
Cost-effective control of chronic viral diseases: Finding the optimal level of screening and contact tracing journal March 2010
Strong influence of behavioral dynamics on the ability of testing and treating HIV to stop transmission journal April 2015
Measles Virus RNA in Tonsils of Asymptomatic Children journal August 2002
Virologic Characteristics of Subclinical and Symptomatic Genital Herpes Infections journal September 1995
The effect of public health measures on the 1918 influenza pandemic in U.S. cities journal April 2007
Model-based evaluation of single-round mass treatment of sexually transmitted diseases for HIV control in a rural African population journal March 2000
Were we prepared for PrEP? Five years of implementation journal October 2017
Perspectives on the basic reproductive ratio journal May 2005
The concept of R o in epidemic theory journal March 1996
Syphilis journal January 2007
Trichomonas vaginalis epidemiology: parameterising and analysing a model of treatment interventions journal August 2000
What proportion of episodes of gonorrhoea and chlamydia becomes symptomatic? journal February 2002
A TB-HIV/AIDS coinfection model and optimal control treatment journal January 2015