Transmission and dynamics of tuberculosis on generalized households

Juan P. Aparicio; Angel F. Capurro; Carlos Castillo-Chavez

doi:10.1006/jtbi.2000.2129

Transmission and dynamics of tuberculosis on generalized households

Juan P. Aparicio, Angel F. Capurro, Carlos Castillo-Chavez

CLAS-NS: Mathematical Computational Modeling Sciences Center, Simon A. Levin (MCMSC)

Research output: Contribution to journal › Article

52 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	327-341
Number of pages	15
Journal	Journal of Theoretical Biology
Volume	206
Issue number	3
DOIs	https://doi.org/10.1006/jtbi.2000.2129
State	Published - Oct 7 2000

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ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

Cite this

Aparicio, J. P., Capurro, A. F., & Castillo-Chavez, C. (2000). Transmission and dynamics of tuberculosis on generalized households. Journal of Theoretical Biology, 206(3), 327-341. https://doi.org/10.1006/jtbi.2000.2129

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10.1006/jtbi.2000.2129