A model for tuberculosis with exogenous reinfection

Zhilan Feng, Carlos Castillo-Chavez, Angel F. Capurro

Research output: Contribution to journalArticle

216 Citations (Scopus)

Abstract

Following primary tuberculosis (TB) infection, only approximately 10% of individuals develop active T.B. Most people are assumed to mount an effective immune response to the initial infection that limits proliferation of the bacilli and leads to long-lasting partial immunity both to further infection and to reactivation of latent bacilli remaining from the original infection. Infected individuals may develop active TB as a consequence of exogenous reinfaction, i.e., acquiring a new infection from another infectious individual. Our results in this paper suggest that exogenous reinfaction has a drastic effect on the qualitative dynamics of TB. The incorporation of exogenous reinfaction into our TB model allows the possibility of a subcritical bifurcation at the critical value of the basic reproductive number R0 = 1, and hence the existence of multiple endemic equilibria for R0 < 1 and the exogenous reinfaction rate larger than a threshold. Our results suggest that reducing R0 to be smaller than one may not be sufficient to eradicate the disease. An additional reduction in reinfaction rate may be required. These results may also partially explain the recently observed resurgence of TB. (C) 2000 Academic Press.

Original languageEnglish (US)
Pages (from-to)235-247
Number of pages13
JournalTheoretical Population Biology
Volume57
Issue number3
DOIs
StatePublished - May 2000
Externally publishedYes

Fingerprint

tuberculosis
Tuberculosis
Infection
infection
Bacillus
bifurcation
immunity
immune response
reactivation
Immunity

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

A model for tuberculosis with exogenous reinfection. / Feng, Zhilan; Castillo-Chavez, Carlos; Capurro, Angel F.

In: Theoretical Population Biology, Vol. 57, No. 3, 05.2000, p. 235-247.

Research output: Contribution to journalArticle

Feng, Zhilan ; Castillo-Chavez, Carlos ; Capurro, Angel F. / A model for tuberculosis with exogenous reinfection. In: Theoretical Population Biology. 2000 ; Vol. 57, No. 3. pp. 235-247.
@article{4176c914e70247dd8cb697b7206ecea7,
title = "A model for tuberculosis with exogenous reinfection",
abstract = "Following primary tuberculosis (TB) infection, only approximately 10{\%} of individuals develop active T.B. Most people are assumed to mount an effective immune response to the initial infection that limits proliferation of the bacilli and leads to long-lasting partial immunity both to further infection and to reactivation of latent bacilli remaining from the original infection. Infected individuals may develop active TB as a consequence of exogenous reinfaction, i.e., acquiring a new infection from another infectious individual. Our results in this paper suggest that exogenous reinfaction has a drastic effect on the qualitative dynamics of TB. The incorporation of exogenous reinfaction into our TB model allows the possibility of a subcritical bifurcation at the critical value of the basic reproductive number R0 = 1, and hence the existence of multiple endemic equilibria for R0 < 1 and the exogenous reinfaction rate larger than a threshold. Our results suggest that reducing R0 to be smaller than one may not be sufficient to eradicate the disease. An additional reduction in reinfaction rate may be required. These results may also partially explain the recently observed resurgence of TB. (C) 2000 Academic Press.",
author = "Zhilan Feng and Carlos Castillo-Chavez and Capurro, {Angel F.}",
year = "2000",
month = "5",
doi = "10.1006/tpbi.2000.1451",
language = "English (US)",
volume = "57",
pages = "235--247",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press Inc.",
number = "3",

}

TY - JOUR

T1 - A model for tuberculosis with exogenous reinfection

AU - Feng, Zhilan

AU - Castillo-Chavez, Carlos

AU - Capurro, Angel F.

PY - 2000/5

Y1 - 2000/5

N2 - Following primary tuberculosis (TB) infection, only approximately 10% of individuals develop active T.B. Most people are assumed to mount an effective immune response to the initial infection that limits proliferation of the bacilli and leads to long-lasting partial immunity both to further infection and to reactivation of latent bacilli remaining from the original infection. Infected individuals may develop active TB as a consequence of exogenous reinfaction, i.e., acquiring a new infection from another infectious individual. Our results in this paper suggest that exogenous reinfaction has a drastic effect on the qualitative dynamics of TB. The incorporation of exogenous reinfaction into our TB model allows the possibility of a subcritical bifurcation at the critical value of the basic reproductive number R0 = 1, and hence the existence of multiple endemic equilibria for R0 < 1 and the exogenous reinfaction rate larger than a threshold. Our results suggest that reducing R0 to be smaller than one may not be sufficient to eradicate the disease. An additional reduction in reinfaction rate may be required. These results may also partially explain the recently observed resurgence of TB. (C) 2000 Academic Press.

AB - Following primary tuberculosis (TB) infection, only approximately 10% of individuals develop active T.B. Most people are assumed to mount an effective immune response to the initial infection that limits proliferation of the bacilli and leads to long-lasting partial immunity both to further infection and to reactivation of latent bacilli remaining from the original infection. Infected individuals may develop active TB as a consequence of exogenous reinfaction, i.e., acquiring a new infection from another infectious individual. Our results in this paper suggest that exogenous reinfaction has a drastic effect on the qualitative dynamics of TB. The incorporation of exogenous reinfaction into our TB model allows the possibility of a subcritical bifurcation at the critical value of the basic reproductive number R0 = 1, and hence the existence of multiple endemic equilibria for R0 < 1 and the exogenous reinfaction rate larger than a threshold. Our results suggest that reducing R0 to be smaller than one may not be sufficient to eradicate the disease. An additional reduction in reinfaction rate may be required. These results may also partially explain the recently observed resurgence of TB. (C) 2000 Academic Press.

UR - http://www.scopus.com/inward/record.url?scp=0034040084&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034040084&partnerID=8YFLogxK

U2 - 10.1006/tpbi.2000.1451

DO - 10.1006/tpbi.2000.1451

M3 - Article

VL - 57

SP - 235

EP - 247

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 3

ER -