Assessing the role of spatial heterogeneity and human movement in malaria dynamics and control

Journal of Theoretical Biology

Volumn 303, Issue , 2012, Pages 1-14

  Prosper, Olivia ^a   Ruktanonchai, Nick ^a   Martcheva, Maia ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

Elasticity analysis; Metapopulation model; Reproduction number

Indexed keywords

DISEASE CONTROL; DISEASE INCIDENCE; DISEASE SPREAD; HETEROGENEITY; MALARIA; MATHEMATICAL ANALYSIS; MOVEMENT; NUMERICAL MODEL; POPULATION MIGRATION; SPATIAL ANALYSIS;

ARTICLE; BASIC REPRODUCTION NUMBER; ENDEMIC DISEASE; INCUBATION TIME; INSECT BITE; LIFESPAN; MALARIA CONTROL; MATHEMATICAL MODEL; MOSQUITO; PARASITE TRANSMISSION; POPULATION MIGRATION; POPULATION MOVEMENT PATTERN; PRIORITY JOURNAL; RESOURCE ALLOCATION; SENSITIVITY ANALYSIS;

BASIC REPRODUCTION NUMBER; ECOSYSTEM; EMIGRATION AND IMMIGRATION; HUMANS; MALARIA; MODELS, BIOLOGICAL; MOVEMENT; POPULATION DYNAMICS; SEASONS;

EID: 84858739229     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.02.010     Document Type: Article

References (58)

1. Adler F.R. Migration alone can produce persistence of host-parasitoid models. Am. Nat. 1993, 141(4):642-650.
2. Arino J., van den Driessche P. The basic reproduction number in a multi-city compartmental epidemic model. Lecture Notes in Control and Information Science 2003, vol. 294:135-142.
3. Arino J., van den Driessche P. A multi-city epidemic model. Math. Popul. Stud. 2003, 10:175-193.
4. Bailey N.T.J. The Biomathematics of Malaria 1982, Oxford University Press.
5. Beier J.C., Davis J.R., Vaughan J.A., Noden B.H., Beier M.S. Quantitation of Plasmodium falciparum sporozoites transmitted in vitro by experimentally infected Anopheles gambiae and Anopheles stephensi. Am. J. Trop. Med. Hyg. 1991, 44(5):564-570.
6. Bekessy A., Molineaux L., Storey J. Estimation of incidence and recovery rates of Plasmodium falciparum parasitaemia from longitudinal data. Bull. World Health Organ. 1976, 54:685-693.
7. Bonnet S., Gouagna C., Safeukui I., Meunier J.-Y., Boudin C. Comparison of artificial membrane feeding with direct skin feeding to estimate infectiousness of Plasmodium falciparum gametocyte carriers to mosquitoes. Trans. R. Soc. Trop. Med. Hyg. 2000, 94:103-106.
8. CDC. Malaria facts. http://www.CDC.gov/Malaria/about/facts.html.
9. Chitnis N., Hyman J., Cushing J. Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Bull. Math. Biol. 2008, 70:1272-1296. 10.1007/s11538-008-9299-0.
10. Chiyaka C., Mukandavire Z., Das P., Nyabadza F., Hove-Musekwa S.D., Mwambi H. Theoretical analysis of mixed Plasmodium malariae and Plasmodium falciparum infections with partial cross-immunity. J. Theor. Biol. 2010, 263(2):169-178.
11. Collins W.E., Jeffery G.M. A retrospective examination of mosquito infection on humans infected with Plasmodium falciparum. Am. J. Trop. Med. Hyg. 2003, 68(3):366-371.
12. Collins W.E., Warren M., Skinner J.C., Richardson B.B., Kearse T.S. Infectivity of the Santa Lucia (El Salvador) strain of Plasmodium falciparum to different Anophelines. J. Parasitol. 1977, 63(1):57-61.
13. Cosner C., Beier J.C., Cantrell R.S., Impoinvil D., Kapitanski L., Potts M.D., Troyo A., Ruan S. The effects of human movement on the persistence of vector-borne diseases. J. Theor. Biol. 2009, 258(4):550-560.
14. Costantini C., Li S.G., Torre A.D., Sagnon N., Coluzzi M., Taylor C.E. Density, survival and dispersal of Anopheles gambiae complex mosquitoes in a West African Sudan savanna village. Med. Vet. Entomol. 1996, 10(3):203-219.
15. Das P., Horton R. Malaria elimination: worthy, challenging, and just possible. The Lancet 2010, 376(9752):1515-1517.
16. deKroon H., Plaisier A., van Groenendael J., Caswell H. Elasticity: the relative contribution of demographic parameters to population growth rate. Ecology 1986, 67(5):1427-1431.
17. 0 in models for infectious diseases in heterogeneous populations. J. Math. Biol. 1990, 28:365-382.
18. Fontenille D., Lochouarn L., Diagne N., Sokhna C., LeMasson J., Diatta M., Konate L., Faye F., Rogier C., Trape J. High annual and seasonal variations in malaria transmission by Anophelines and vector species composition in Dielmo, a holoendemic area in Senegal. Am. J. Trop. Med. Hyg. 1997, 56(3):247-253.
19. Githeko A., Ayisi J., Odada P., Atieli F., Ndenga B., Githure J., Yan G. Topography and malaria transmission heterogeneity in western Kenya highlands: prospects for focal vector control. Malar. J. 2006, 5(1):107.
20. Graves P.M., Burkot T.R., J Saul A., Hayes R.J., Carter R. Estimation of Anopheline survival rate, vectorial capacity and mosquito infection probability from malaria vector infection rates in villages near Madang, Papua New Guinea. J. Appl. Ecol. 1990, 27(1):134-147.
21. Greenwood B., Mutabingwa T. Malaria in 2002. Nature 2002, 415(687):670-672.
22. Guinovart C., Navia M.M., Tanner M., Alonso P.L. Malaria: burden of disease. Curr. Mol. Med. 2006, 6(4):137-140.
23. Harrington L.C., Scott T.W., Lerdthusnee K., Coleman R.C., Costero A., Clark G.G., Jones J.J., Kitthawee S., Kittayapong P., Sithiprasasna R R., Edman J.D. Dispersal of the dengue vector Aedes aegypti within and between rural communities. Am. J. Trop. Med. Hyg. 2005, 72(2):209-220.
24. Hay S.I., Guerra C.A., Tatem A.J., Atkinson P.M., Snow R.W. Urbanization, malaria transmission and disease burden in Africa. Nature 2005, 3:81-90.
25. Heppel S.S., Pfister C.A., de Kroon H. Elasticity analysis in population biology: methods and applications. Ecology 2000, 81:605-606.
26. Hess G.R. Linking extinction to connectivity and habitat destruction in metapopulation models. Am. Nat. 1996, 148(1):226-236.
27. Hethcote H.W. Qualitative analyses of communicable disease models. Math. Biosci. 1976, 28(3-4):335-356.
28. Holt R.D. Population dynamics in two-patch environments: some anomalous consequences of an optimal habitat distribution. Theor. Popul. Biol. 1985, 28(2):181-208.
29. Keating J., Krogstad D.J., Eisele T.P. Malaria elimination on hispaniola. Lancet Infect. Dis. 2010, 10(5):291-293.
30. Koella J.C. On the use of mathematical models of malaria transmission. Acta Trop. 1991, 49(1):1-25.
31. Kulkarni M.A., Desrochers R.E., Kerr J.T. High resolution niche models of malaria vectors in northern Tanzania: a new capacity to predict malaria risk?. PLoS One 2010, 5(2):e9396.
32. Laxminarayan R. Act now or later? economics of malaria resistance. Am. J. Trop. Med. Hyg. 2004, 71(Suppl. 2):187-195.
33. Lindsay S.W., Wilkins H.A., Zieler H.A., Daly R.J., Petrarca V., Byass P. Ability of Anopheles gambiae mosquitoes to transmit malaria during the dry and wet season in an area of irrigated rice cultivation in The Gambia. J. Trop. Med. Hyg. 1991, 94(5):313-324.
34. Loyola E.G., Gonzalez-Ceron L., Rodriguez M.H., Arredondo-Jimenez J.I., Bennett S., Bown D.N. Anopheles albimanus (Diptera: culicidae) host selection patterns in three ecological areas of the coastal plains of Chiapas, Southern Mexico. J. Med. Entomol. 1993, 30(3):518-523.
35. Machault V., Vignolles C., Pages F., Gadiaga L., Gaye A., Sokhna C., Trape J.F., Lacaux J.P., Rogier C. Spatial heterogeneity and temporal evolution of malaria transmission risk in Dakar, Senegal, according to remotely sensed environmental data. Malar. J. 2010, 9(1):252.
36. Malaria Elimination Group. About the Malaria Elimination Group. http://www.malariaeliminationgroup.org/about.
37. Martens P., Hall L. Malaria on the move: human population movement and malaria transmission. Emerg. Infect. Dis. 2003, 6(2):103-109.
38. Midega J.T., Mbogo C.M., Mwambi H., Wilson M.D., Ojwang G., Mwangangi J.M., Nzovu J.G., Githure J.I., Yan G., Beier J.C. Estimating dispersal and survival of Anopheles gambiae and Anopheles funestus along the Kenyan coast by using mark-release-recapture methods. J. Med. Entomol. 2007, 44(6):923-929.
39. Molineaux L., Gramiccia G. The Garki Project: Research on The Epidemiology and Control of Malaria in The Sudan Savanna of West Africa 1980, WHO Publications, Albany, NY, USA.
40. Muir L.E., Kay B.H. Aedes aegypti survival and dispersal estimated by mark-release-recapture in northern Australia. Am. J. Trop. Med. Hyg. 1998, 58(3):277-282.
41. New York Times. December 2010. Comeback Against Malaria. http://www.nytimes.com/2010/12/19/opinion/19sun2.html.
42. Ostfeld R.S., Glass G.E., Keesing F. Spatial epidemiology: an emerging (or re-emerging) discipline. Trends Ecol. Evol. 2005, 20:328-336.
43. Pickett S.T.A., Cadenasso M.L. Landscape ecology: spatial heterogeneity in ecological systems. Science 1995, 269(5222):15-20.
44. Prothero R.M. Disease and mobility: a neglected factor in epidemiology. Int. J. Epidemiol. 1977, 6(3):259-267.
45. Robert V., MacIntyre K., Keating J., Trape J.F., Duchemin J.B., Warren M., Beier J.C. Malaria transmission in urban sub-Saharan Africa. Am. J. Trop. Med. Hyg. 2003, 68(2):169-176.
46. Rodriguez M.H., Bown D.N., Arredondo-Jimenez J.I., Villarreal C., Loyola E.G., Frederickson C.E. Gonotrophic cycle and survivorship of Anopheles albimanus (Diptera: culicidae) in Southern Mexico. J. Med. Entomol. 1992, 29(3):395-399.
47. Russell R.C., Webb C.E., Williams C.R., Ritchie S.A. Mark-release-recapture study to measure dispersal of the mosquito Aedes aegypti in Cairns, Queensland, Australia. Med. Vet. Entomol. 2005, 19(4):451-457.
48. Sachs J., Malaney P. The economic and social burden of malaria. Nature 2002, 415:680-685.
49. Salmani M., van den Driessche P. A model for disease transmission in a patchy environment. Discrete Continuous Dyn. Syst. Ser. B 2006, 6:185-202.
50. Smith D.L., McKenzie E.F. Statics and dynamics of malaria infection in Anopheles mosquitoes. Malar. J. 2004, 3(1):13.
51. Smith T., Charlwood J.D., Kihonda J., Mwankusye S., Billingsley P., Lyimo E., Teuscher T., Tanner M. Absence of seasonal variation in malaria parasitaemia in an area of intense seasonal transmission. Acta Trop. 1993, 54:55-72.
52. Stoddard S.T., Morrison A.C., Vazquez-Prokopec G.M., Soldan V.P., Kochel T.J., Kitron U., Elder J.P., Scott T.W. The role of human movement in the transmission of vector-borne pathogens. PLoS Neglected Trop. Dis. 2009, 3(7):e481.
53. Tatem A.J., Smith D.L. International population movements and regional Plasmodium falciparum malaria elimination strategies. Proc. Natl. Acad. Sci. USA 2010, 107(27):12222-12227.
54. van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180(1-2):29-48.
55. van Tienderen P.H. Elasticities and the link between demographic and evolutionary dynamics. Ecology 2000, 81(3):666-679.
56. White G.B. Malaria vector ecology and genetics. Br. Med. Bull. 1982, 38(2):207-212.
57. Woolhouse M.E., Dye C., Etard J.F., Smith T., Charlwood J.D. Heterogeneities in the transmission of infectious agents: implications for the design of control programs. Proc. Natl. Acad. Sci. USA 1997, 94:338-342.
58. World and Media, 2011. Malaria Scientists set Sights on Global Eradication. http://www.worldandmedia.com/health/malaria-scientists-set-sights-on-global-eradication-1-0-3101.html.