Abstract
When dealing with economically and socially significant infectious diseases, in particular AIDS and tuberculosis, the central problem is to optimally distribute the limited resources among different treatment and prophylaxis programs. The main difficulty in doing so is that while the individual-level effect of these interventions can be determined using controlled trials, their effectiveness as public health interventions cannot be ascertained with certainty. This is due to the fact that affected populations are different not only in terms of the disease transmission dynamics, but also in the efficacy of available instruments given a specific population structure. Identifying the optimal strategy of resource allocation must be based on a (dynamic) model of the underlying medical, biological, and social processes that captures the relevant features of the population.
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- 1.
Here and throughout the paper we use the convention that all variables are denoted by capital letters and the constants by lowercase letters.
- 2.
Strictly speaking, there is an upper bound U i ≤1, but this turns out to be very loose as the real values of the control are always less than 1.
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Acknowledgements
This project has been funded in whole or in part with Federal funds from the Centers for Disease Control and Prevention/OID/NCHHSTP/DSTDP, Department of Health and Human Services, under Interagency Agreement No. 17FED1710397.
Dmitry Gromov thanks to the International Union of Biological Sciences (IUBS) for partial support of living expenses in Moscow, during the 17th BIOMAT International Symposium, October 29–November 04, 2017.
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Gromov, D., Bulla, I., Romero-Severson, E.O. (2018). Optimal Resource Allocation for HIV Prevention and Control. In: Mondaini, R. (eds) Trends in Biomathematics: Modeling, Optimization and Computational Problems. Springer, Cham. https://doi.org/10.1007/978-3-319-91092-5_9
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