Skip to main content

Advertisement

Log in

Evaluating the effectiveness of DDT house spraying in persistent and re-emerging malaria

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

Malaria is a serious burden to public health. Factors causing persistence and re-emergence of malaria can be best understood using mathematical models to predict possible outcomes with control strategies. In this paper, a mathematical model to study the dynamics of malaria control using DDT house spraying is developed. The model is designed under the assumption that DDT house spraying keeps away mosquitoes from entering houses and thereby reducing bites from mosquito vector to human host. The model is analyzed at equilibrium and the stability explored. Results indicate that applying DDT significantly reduces malaria prevalence. As more people spray, more mosquito are kept away. This in turn leads to less bites, and low disease prevalence, and the overall size of the epidemic reduced. If another disease invades the population, the prevalence is low and co-infections minimal. The main conclusion is that DDT reduces mosquito bites, but consistent house spraying is desirable for the eradication of malaria.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Abu-Raddad L.J., Patnaik P., Kublin J.G.: Dual infection with HIV and malaria fuels the spread of both diseases in Sub-Saharan Africa. Science 314, 1603–1606 (2006)

    Article  Google Scholar 

  2. Baleta A.: Insecticide resistance threatens malaria control in Africa. Lancet 374, 1581–1582 (2009)

    Article  Google Scholar 

  3. Cavqlié Ph., Mouchet J.: Les campagnes experimentales de radication du paludisme dans le nord de la Republique du Cameroun. Med. Trop. 22, 95–118 (1962)

    Google Scholar 

  4. Cohen, B.R.: Uganda will use DDT to fight malaria. http://www.heartland.org/policybot/results/20807/Uganda-Will-Use-DDT-to-Fight-Malaria.html. Available 03 August 2010

  5. Curtis C.F.: The effectiveness of DDT against vector-borne disease. SCOPE Malaria Research and Policy Forum, Washington, DC (1999)

    Google Scholar 

  6. Driessen, P.: False concerns doom Africans. Article published in “Uganda Will Use DDT to Fight Malaria”. http://www.heartland.org/policybot/results/20807/Uganda-Will-Use-DDT-to-Fight-Malaria.html. Available 03 August 2010

  7. Guerra R.W., Noor C.A., Myint H.Y., Hay S.I.: The global distribution of clinical episodes of P. falciparum malaria. Nature 434, 214–217 (2005)

    Article  Google Scholar 

  8. Keeling M.J., Rohani P.: Modelling infectious diseases in humans and animals. Princeton University Press, Princeton (2008)

    Google Scholar 

  9. Lancaster P.: Theory of matrices. Academic Press, New York (1969)

    MATH  Google Scholar 

  10. Mouchet J., Manguin S., Sircoulon J. et al.: Evolution of malaria in Africa for the past 40 years: impact of climatic and human factors. J. Am. Mosq. Control Assoc. 14, 121–130 (1998)

    Google Scholar 

  11. Roberts D.R., Laughlin L.L., Hshieh P., Legters L.J.: DDT, global strategies, and a malaria control crisis in South America. Emerg. Infect. Dis. 3, 295–302 (1997)

    Article  Google Scholar 

  12. Taverne J.: DDT—to ban or not to ban?. Parasitol. Today 15, 180–181 (1999)

    Article  Google Scholar 

  13. U.S. Census Bureau: International Data Base.: PR Newswire, United Business media. http://www.prnewswire.com/news-releases/update-census-bureau-news—–2010-international-database-update-112571129.html (2010)

  14. USAID Malaria Program. Treatment and drug resistance. http://www.usaid.gov/our-work/global-health/id/malaria/techareas/resistant.html. Accessed 05 August 2010

  15. van den Driessche, P., Watmough, J.: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. (2002)

  16. WHO.: Strategy to Roll Back Malaria in the WHO European region. WHO, Copenhagen, p. 15 (1999)

  17. WHO World malaria report.: The World Health Organization. http://www.who.int/malaria/world_malaria_report_2009/en/index.html (2009)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Nannyonga.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nannyonga, B., Mugisha, J.Y.T. & Luboobi, L.S. Evaluating the effectiveness of DDT house spraying in persistent and re-emerging malaria. Afr. Mat. 24, 209–221 (2013). https://doi.org/10.1007/s13370-011-0053-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-011-0053-7

Keywords

Mathematics Subject Classification (2000)

Navigation