Spatial spreading of West Nile Virus described by traveling waves

Journal of Theoretical Biology

Volumn 258, Issue 3, 2009, Pages 403-417

  Maidana, Norberto Aníbal ^a   Yang, Hyun Mo ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Reaction diffusion equation; Sensitivity analysis; Traveling waves; Wave speed; West Nile Virus

Indexed keywords

BIRD; DISEASE CONTROL; DISEASE SPREAD; DISEASE TRANSMISSION; EQUATION; MOSQUITO; MOVEMENT; SPATIAL ANALYSIS; VIRUS; WAVE VELOCITY;

ADVECTION; ARTICLE; BIOLOGICAL MODEL; BIRD; BLOODSTREAM INFECTION; DISEASE TRANSMISSION; GEOGRAPHIC DISTRIBUTION; HORSE; HUMAN; MORTALITY; MOSQUITO; NONHUMAN; PRIORITY JOURNAL; SENSITIVITY ANALYSIS; VIRUS INFECTION; WEST NILE FLAVIVIRUS;

ANIMAL MIGRATION; ANIMALS; BIRD DISEASES; BIRDS; CALIFORNIA; CULICIDAE; DISEASE RESERVOIRS; INSECT VECTORS; MODELS, BIOLOGICAL; NEW YORK CITY; WEST NILE FEVER; WEST NILE VIRUS; ZOONOSES;

NORTH AMERICA; UNITED STATES;

ARTHROPODA; AVES; EQUIDAE; FLAVIVIRUS; MAMMALIA; WEST NILE VIRUS;

EID: 67349246788     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.12.032     Document Type: Article

References (30)

1. Bowman C., Gumel A.B., Van den Driessche P., Wu J., and Zhu H. A mathematical model for assessing control strategies against West Nile virus. Bulletin of Mathematical Biology 67 (2005) 1107-1133
2. Campbell L.G., Martin A.A., Lanciotti R.S., and Gubler D.J. West Nile Virus. The Lancet Infectious Diseases 2 (2002) 519-529
3. Cruz-Pacheco G., Esteva L., Montaño-Hirose J.A., and Vargas C. Modelling the dynamics of the West Nile Virus. Bulletin of Mathematical Biology 67 (2005) 1157-1172
4. DeBiasi R.L., and Tyler K. West Nile Virus meningoencephalitis. Nature Clinical Practice Neurology 3 5 (2006) 264-275
5. Dohm D.J., Sardelis M.R., and Turell J. Experimental vertical transmission of West Nile Virus by Culex pippiens (Diptera: Culicidae). Journal of Medical Entomology 39 4 (2002) 640-644
6. Erni B., Liecheti F., and Bruderer B. Stopover strategies in passarine bird migration: a simulation study. Journal of Theoretical Biology 219 (2002) 479-493
7. Fisher R.A. The wave of advance of advantageous genes. Annals of Eugenics 7 (1937) 355-369
8. FlexPDE 5.0, copyright 2005, PDE solution inc.
9. Goddard L.B., Roth A.E., Reisen W.K., and Scott T.W. Vector competence of California mosquitoes for West Nile Virus. Emerging Infectious Diseases 8 12 (2002) 1385-1391
10. Harrington L.C., Scott T.W., Lerdthusnee K., Coleman R.C., Costero A., Clarck G.G., Jones J.J., Kitthawee S., Yapong P.K., Sithiprasasna R., and Edman J.D. Dispersal of the dengue vector Aedes aegypti within and between rural communities. American Journal of Tropical Medicine and Hygiene 72 2 (2005) 209-220
11. Hayes G.G. West Nile virus fever. In: Monath T.P. (Ed). The Arboviruses Epidemiology and Ecology vol. V (1989), CRC Press, Florida 59-88
12. Hayes E.B., Komar N., Nasci R.S., Montgomery S.P., O'Leary D.R., and Campbell G.L. Epidemiology and transmission dynamics of West Nile Virus disease. Emerging Infectious Diseases 11 8 (2005) 1167-1173
13. Källen A., Acuari P., and Murray J.D. A simple model for the spatial spread and control of rabies. Journal of Theoretical Biology 116 (1985) 377-393
14. Kenkre V.M., Parmenter R.R., Peixoto I.D., and Sadasiv L. A theoretical framework for the analysis of the West Nile virus epidemic. Computer and Mathematics with Applications 42 (2005) 313-324
15. Komar N., Langevin S., Hinten S., Nemeth N., Edwars E., Hettler D., Davis B., Bowen R., and Bunning M. Experimental infection of North American birds with the New York 1999 strain of West Nile virus. Emerging Infectious Diseases 9 3 (2003) 311-322
16. Lewis M., Renclawowicz J., and Van den Driessche P. Travelling waves and spread rate for a West Nile virus model. Bulletin of Mathematical Biology 68 (2006) 3-23
17. Maidana N.A., and Ferreira Jr. W.C. The geographic spread of "el mal de las Caderas" in capybaras (Hydrochaeris hydrochaeris). Bulletin of Mathematical Biology 70 4 (2008) 1216-1234
18. Murray J.D., Stanley F.R.S., and Brown D.L. On the spatial spread of rabies among foxes. Proceedings of the Royal Society of London B 229 (1986) 111-150
19. Murray J.D., and Seward W.L. On the spatial spread of rabies among foxes with immunity. Journal of Theoretical Biology 156 (1992) 327-348
20. Murray J.D. Mathematical Biology (2002), Springer, Berlin
21. New York City Department of Health and Mental Hygiene, 2004. Comprehensive mosquito surveillance and control plan. 〈http://www.nyc.gov/html/doh/downloads/pdf/wnv/wnvplan2004.pdf〉.
22. Okubo A. Diffusion-type models for avian range expansion. In: Henri Quellet I. (Ed). Acta XIX Congressus Internationalis Ornithologici, National Museum of Natural Sciences (1998), University of Ottawa Press 1038-1049
23. Rappole J.H., Derrickson S.R., and Hubálek Z. Migratory birds and spread of West Nile Virus in the western hemisphere. Emerging Infectious Diseases 6 4 (2000) 319-328
24. Reed K.D., Meece J.K., Henkel J.S., and Shukla S.K. Bird migration and emerging zoonoses: West Nile virus, lyme disease, influenza A and enteropathogens. Clinical Medicine and Research 1 1 (2002) 5-12
25. Sandstede B. Stability of traveling waves. In: Fiedler B. (Ed). Handbook of Dynamical System II (2002), Elsevier, Amsterdam 983-1059
26. Stewart P.A. Migration of blue jays in eastern North America. North American Bird Bander 7 3 (1982) 107-112
27. Turell M.J., O'Guinn M.L., Dohm D.J., and Jones J.W. Vector competence of North American mosquitoes (Diptera: Culicidade) for West Nile virus. Journal of Medical Entomology 38 2 (2001) 130-134
28. Volpert A.I., and Volpert V.A. Traveling Waves Solutions of Parabolic System (1994), American Mathematical Society, Providence, RI
29. Wonham M.J., De-camino-Beck T., and Lewis M.A. An epidemiological model for West Nile virus: invasion analysis and control applications. Proceedings of the Royal Society of London B 271 (2004) 501-507
30. Work T.H., Hurlbut H.S., and Taylor R.M. Indigenous wild birds of the Nile delta as potential West Nile virus circulating reservoir. American Journal of Tropical Medicine and Hygiene 4 (1955) 872-888