Optimal control of allocation of resources and the economic growth in HIV-infected communities

Semu Mitiku Kassa, Senelani D. Hove-Musekwa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The neoclassical model of economic growth is used to model the economic growth of a HIV-infected community with efforts in controlling the epidemic. An optimal control model with pure-state constraints is formulated and investigated. It is found that reduction of prevalence for the disease and economic growth agrees in a positive sense in the communities with high rate of population growth and low income.Moreover, the same control strategy will decrease the prevalence even if the capital is not growing for the case of high income communities. However, a disease control strategy with economic growth as its objective will not result in decrease in prevalence if the rate of population growth of the community is very low. Therefore, if the rate of the population growth of a community is nearly the replacement level, then the utility function for the selection of disease control strategies should not be an economic benefit.

Original languageEnglish
Pages (from-to)627-646
Number of pages20
JournalOptimal Control Applications and Methods
Volume35
Issue number6
DOIs
Publication statusPublished - Jan 1 2014

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Economic Growth
Optimal Control
Population Growth
Economics
Resources
Control Strategy
Disease control
Decrease
Pure State
State Constraints
Utility Function
Replacement
Community
Model

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics

Cite this

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Optimal control of allocation of resources and the economic growth in HIV-infected communities. / Kassa, Semu Mitiku; Hove-Musekwa, Senelani D.

In: Optimal Control Applications and Methods, Vol. 35, No. 6, 01.01.2014, p. 627-646.

Research output: Contribution to journalArticle

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