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Optimal Control for Tuberculosis with Exogenous Reinfection and Stigmatization

2021/01/01 by Liguarda, Remilou, Bock, Wolfgang, Caga-anan, Randy
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2101.00278

Abstract

The effect of stigmatization is hindering the control of diseases. Especially in the case of exogenous reinfection, this effect can play a massive role. We develop in this paper, based on a tuberculosis model of Feng et.al. a model with exogenous reinfection and stigmatization. As in the base model, in presence of exogenous reinfection there exists multiple endemic equilibria. We solve an optimal control problem for a case scenario and show that both types of measures, those fighting stigmatization but also direct disease control have to be invoked.

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