Fun with maths: Exploring implications of mathematical models for malaria eradication

Malaria Journal

Volumn 13, Issue 1, 2014, Pages

  Eckhoff, Philip A ^a   Bever, Caitlin A ^a   Gerardin, Jaline ^a   Wenger, Edward A ^a  

^a INSTITUTE FOR DISEASE MODELING   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIMALARIAL AGENT; ARTEMISININ; MALARIA VACCINE; PRIMAQUINE;

DISEASE DURATION; HUMAN; INDOOR RESIDUAL SPRAYING; INSECTICIDE TREATED NET; MALARIA; MALARIA CONTROL; MATHEMATICAL MODEL; MIGRATION; PARASITE PREVALENCE; PARASITE TRANSMISSION; REVIEW; SEASONAL VARIATION; SECONDARY INFECTION; VACCINATION;

EID: 84928797022     PISSN: None     EISSN: 14752875     Source Type: Journal    
DOI: 10.1186/1475-2875-13-486     Document Type: Review

References (20)

1. Macdonald G: Theory of the eradication of malaria. Bull World Health Organ 1956, 15:369-387.
2. Macdonald G: The Epidemiology and Control of Malaria. London, New York: Oxford University Press; 1957.
3. Smith DL, McKenzie FE, Snow RW, Hay SI: Revisiting the basic reproductive number for malaria and its implications for malaria control. PLoS Biol 2007, 5:e42.
4. Smith D, Hay S: Endemicity response timelines for Plasmodium falciparum elimination. Malar J 2009, 8:87.
5. Macdonald G, Goeckel GW: The Malaria Parasite Rate and the Interruption of Transmission. Bull World Health Organ 1964, 31:365-377.
6. Sama W, Dietz K, Smith T: Distribution of survival times of deliberate Plasmodium falciparum infections in tertiary syphilis patients. Trans R Soc Trop Med Hyg 2006, 100:811-816.
7. Sama W, Killeen G, Smith T: Estimating the duration of Plasmodium falciparum infection from trials of indoor residual spraying. Am J Trop Med Hyg 2004, 70:625-634.
8. Eckhoff P: P. falciparum infection durations and infectiousness are shaped by antigenic variation and innate and adaptive host immunity in a mathematical model. PLoS ONE 2012, 7:e44950.
9. Pluess B, Tanser FC, Lengeler C, Sharp BL: Indoor residual spraying for preventing malaria. Cochrane Database of Systematic Reviews 2010. Issue 4. Art. No.: CD006657. doi:10.1002/14651858.CD006657.pub2.
10. RTS SCTP: A Phase 3 trial of RTS, S/AS01 malaria vaccine in African infants. N Engl J Med 2012, 367:2284-2295.
11. Johnston GL, Gething PW, Hay SI, Smith DL, Fidock DA: Modeling within-host effects of drugs on Plasmodium falciparum transmission and prospects for malaria elimination. PLoS Comput Biol 2014, 10:e1003434.
12. Gillespie DT: Exact stochastic simulation of coupled chemical reactions. J Phys Chem 1977, 81:2340-2361.
13. Wesolowski A, Eagle N, Tatem AJ, Smith DL, Noor AM, Snow RW, Buckee CO: Quantifying the impact of human mobility on malaria. Science 2012, 338:267-270.
14. Smith DL, Cohen JM, Chiyaka C, Johnston G, Gething PW, Gosling R, Buckee CO, Laxminarayan R, Hay SI, Tatem AJ: A sticky situation: the unexpected stability of malaria elimination. Philos Trans R Soc London B: Biol Sci 2013, 368.
15. Cohen J, Smith D, Cotter C, Ward A, Yamey G, Sabot O, Moonen B: Malaria resurgence: a systematic review and assessment of its causes. Malar J 2012, 11:122.
16. Moonen B, Barrett S, Tulloch J, Jamison DT: Making the decision. In Shrinking the Malaria Map: A Prospectus on Malaria Elimination. Edited by Feachem RGA, Phillips AA, Targett GA, Group ME. San Francisco: The Global Health Group: UCSF Global Health Sciences; 2009:1-18.
17. Grenfell BT, Bolker BM, Kleczkowski A: Seasonality and extinction in chaotic metapopulations. Proc Biol Sci 1995, 259:97-103.
18. Smith T, Killeen GF, Maire N, Ross A, Molineaux L, Tediosi F, Hutton G, Utzinger J, Dietz K, Tanner M: Mathematical modeling of the impact of malaria vaccines on the clinical epidemiology and natural history of Plasmodium falciparum malaria: Overview. Am J Trop Med Hyg 2006, 75:1-10.
19. Wenger E, Eckhoff P: A mathematical model of the impact of present and future malaria vaccines. Malar J 2013, 12:126.
20. Griffin JT, Hollingsworth TD, Okell LC, Churcher TS, White M, Hinsley W, Bousema T, Drakeley CJ, Ferguson NM, Basáñez M-G, Ghani AC: Reducing Plasmodium falciparum malaria transmission in Africa: a model-based evaluation of intervention strategies. PLoS Med 2010, 7:e1000324.