TY - JOUR
T1 - Transmission and dynamics of tuberculosis on generalized households
AU - Aparicio, Juan P.
AU - Capurro, Angel F.
AU - Castillo-Chavez, Carlos
N1 - Funding Information:
We thank Moira Zellner and Baojoun Song for valuable discussions. This work has been partially supported by Universidad de Buenos Aires fellowship to Juan Aparicio, by INCO grant no. 950809 of Commision of European Community-Directorate General XII to Angel F. Capurro. This research was conducted while CCC was a member of the Institute for Mathematics and its applications at the University of Minnesota and a visiting Professor at Howard University, Washington, D.C. This research was also supported by NSF and NSA grants to the Mathematical and Theoretical Biology Institute at Cornell University.
PY - 2000/10/7
Y1 - 2000/10/7
N2 - Tuberculosis (TB) transmission is enhanced by systematic exposure to an infectious individual. This enhancement usually takes place at either the home, workplace, and/or school (generalized household). Typical epidemiological models do not incorporate the impact of generalized households on the study of disease dynamics. Models that incorporate cluster (generalized household) effects and focus on their impact on TB's transmission dynamics are developed. Detailed models that consider the effect of casual infections, that is, those generated outside a cluster, are also presented. We find expressions for the Basic Reproductive Number as a function of cluster size. The formula for R0 separates the contributions of cluster and casual infections in the generation of secondary TB infections. Relationships between cluster and classical epidemic models are discussed as well as the concept of critical cluster size. (C) 2000 Academic Press.
AB - Tuberculosis (TB) transmission is enhanced by systematic exposure to an infectious individual. This enhancement usually takes place at either the home, workplace, and/or school (generalized household). Typical epidemiological models do not incorporate the impact of generalized households on the study of disease dynamics. Models that incorporate cluster (generalized household) effects and focus on their impact on TB's transmission dynamics are developed. Detailed models that consider the effect of casual infections, that is, those generated outside a cluster, are also presented. We find expressions for the Basic Reproductive Number as a function of cluster size. The formula for R0 separates the contributions of cluster and casual infections in the generation of secondary TB infections. Relationships between cluster and classical epidemic models are discussed as well as the concept of critical cluster size. (C) 2000 Academic Press.
UR - http://www.scopus.com/inward/record.url?scp=0034619254&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034619254&partnerID=8YFLogxK
U2 - 10.1006/jtbi.2000.2129
DO - 10.1006/jtbi.2000.2129
M3 - Article
C2 - 10988019
AN - SCOPUS:0034619254
VL - 206
SP - 327
EP - 341
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 3
ER -