Control strategies for TB epidemics

B. Ainseba; Z. Feng; M. Iannelli; Fabio Milner

doi:10.1137/15M1048719

Control strategies for TB epidemics

B. Ainseba, Z. Feng, M. Iannelli, Fabio Milner

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

A model for tuberculosis (TB) that includes immigration of susceptible and infected individuals is presented and analyzed. Infected individuals are structured by time since infection to include a long and variable latency period, and individuals with active TB have an increased mortality rate. Two control problems are formulated and analyzed, minimizing the impact of infection by controlling infected immigrants and/or screening for detection and treatment of infected individuals before they develop active TB.

Original language	English (US)
Pages (from-to)	82-107
Number of pages	26
Journal	SIAM Journal on Applied Mathematics
Volume	77
Issue number	1
DOIs	https://doi.org/10.1137/15M1048719
State	Published - 2017

Keywords

Control
Mathematical modeling
Partial differential equations
Tuberculosis

ASJC Scopus subject areas

Applied Mathematics

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10.1137/15M1048719

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title = "Control strategies for TB epidemics",

abstract = "A model for tuberculosis (TB) that includes immigration of susceptible and infected individuals is presented and analyzed. Infected individuals are structured by time since infection to include a long and variable latency period, and individuals with active TB have an increased mortality rate. Two control problems are formulated and analyzed, minimizing the impact of infection by controlling infected immigrants and/or screening for detection and treatment of infected individuals before they develop active TB.",

keywords = "Control, Mathematical modeling, Partial differential equations, Tuberculosis",

author = "B. Ainseba and Z. Feng and M. Iannelli and Fabio Milner",

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AU - Feng, Z.

AU - Iannelli, M.

AU - Milner, Fabio

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AB - A model for tuberculosis (TB) that includes immigration of susceptible and infected individuals is presented and analyzed. Infected individuals are structured by time since infection to include a long and variable latency period, and individuals with active TB have an increased mortality rate. Two control problems are formulated and analyzed, minimizing the impact of infection by controlling infected immigrants and/or screening for detection and treatment of infected individuals before they develop active TB.

KW - Control

KW - Mathematical modeling

KW - Partial differential equations

KW - Tuberculosis

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Control strategies for TB epidemics

Abstract

Keywords

ASJC Scopus subject areas

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