Insecticide-resistant mosquitoes and malaria control

Mathematical Biosciences

Volumn 252, Issue 1, 2014, Pages 14-26

  Blayneh, Kbenesh W ^a   Mohammed Awel, Jemal ^b  

^a FLORIDA A AND M UNIVERSITY   (United States)

^b VALDOSTA STATE UNIVERSITY   (United States)

Author keywords

Bifurcation; Fixed point; Insecticide resistance; Mutation; Threshold

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENCE EQUATIONS; DISEASES; MALARIA CONTROL; MOSQUITO CONTROL;

FIXED POINTS; INSECTICIDE-RESISTANCE; MANAGEMENT STRATEGIES; MOSQUITO-BORNE DISEASE; MUTATION; NONLINEAR DIFFERENCE EQUATIONS; NUMERICAL TECHNIQUES; THRESHOLD;

INSECTICIDES;

INSECTICIDE;

ALLELE; BIFURCATION; EPIDEMIOLOGY; EQUATION; INSECTICIDE; MALARIA; MOSQUITO; MUTATION; NUMERICAL MODEL; RECRUITMENT (POPULATION DYNAMICS); THRESHOLD;

ALLELE; ANOPHELES GAMBIAE; ARTICLE; CALCULATION; INSECTICIDE RESISTANCE; MALARIA CONTROL; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MOSQUITO; MUTATION RATE; MUTATIONAL ANALYSIS; NONHUMAN; NONLINEAR SYSTEM; PARASITE SURVIVAL; PARASITE TRANSMISSION; PLASMODIUM FALCIPARUM; PREVALENCE; PROBABILITY; SIMULATION; SURVIVAL RATE; ANIMAL; ANOPHELES; BIOLOGICAL MODEL; DRUG RESISTANCE; HUMAN; MALARIA; PARASITOLOGY; PROCEDURES; TRANSMISSION;

ANIMALS; ANOPHELES; DRUG RESISTANCE; HUMANS; INSECTICIDES; MALARIA; MODELS, BIOLOGICAL; MOSQUITO CONTROL;

EID: 84900032142     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2014.03.007     Document Type: Article

References (40)

1. Allen L. An Introduction to Mathematical Biology 2007, Pearson Prentice Hall, Upper Saddle River, NJ.
2. Barbosa S., Hastings I.M. The importance of modeling the spread of insecticide resistance in a heterogeneous environment: the example of adding synergists to bed nets. Malaria J. 2012, 11(258). 10.1186/1475-2875-11-258.
3. Blayneh K.W., Jang S.R.-J. A discrete SIS-model for a vector-transmitted disease. Appl. Anal. 2006, 85(10):1271.
4. Blayneh K.W., Gumel A.B., Lenhart S., Clayton T. Backward bifurcation and optimal control in transmission dynamics of West Nile virus. Bull. Math. Biol. 2010, 72:1006.
5. Blayneh K.W., Cao Y., Kwon Hee-Dae Optimal control of vector-borne diseases: treatment and prevention. Discrete Contin. Dyn. Syst. Ser. B 2009, 11(3):587.
6. Brogdon W.G., McAllister J.C. Insecticide resistance and vector control. Emerg. Infectious Dis. 1998, 4:605.
7. Castillo-Chavez Carlos, Blower Sally, van den Driessche Pauline, Kirschner Denise, Yakubu Abdul-Aziz Mathematical Approaches for Emerging and Reemerging Infectious Diseases, An Introduction 2002, Springer, New York.
8. Center for disease control and prevention (CDC), Malaria, February 2010.
9. Chen H., Fillinger U., Yan G. oviposition behavior female Anopheles gambiae in Western Kenya inferred from microsatellite markers. Am. Soc. Trop. Med. Hyg. 2006, 75(2):246.
10. Chevillon C., Raymond M., Guillemaud T., Lenormand T., Pasteur N. Population genetics of insecticide resistance in the mosquito culex pipiense. Biol. J. Linn. Soc. 1999, 68:147.
11. Chitnis N., Cushing J.M., Hyman J.M. Bifurcation analysis of a mathematical model for malaria transmission. SIAM J. Appl. Math. 2006, 67:24.
12. Chitnis N., Hardy D., Smith T. A periodically-forced mathematical model for the seasonal dynamics of malaria in mosquitoes. Bull. Math. Biol. 2012, 74:1098.
13. Corbel V., Chandre F., Brengues C., Akohbeto M., Lardeux F., Hougard J.M., Guillet P. Dosage-dependent effects of permethrin-treated nets on the behavior of Anopheles gambiae and selection of pyrethroid resistance. Malaria J. 2004, 3(22):1.
14. Curtis C.F. Theoretical models of the use of insecticide mixtures for the management of resistance. Bull. Entomol. Res. 2009, 75(2):259.
15. Cushing J.M. An Introduction to Structured Population Dynamics 1998, SIAM, Philadelphia, PA.
16. Eckhoff A.P. A malaria transmission-directed model of mosquito life cycle and ecology. Malaria J. 2011, 10(303):1.
17. Elaydi S.N. An Introduction to Difference Equation 1999, Springer-Verlag, New York. second ed.
18. Fan G., Liu J., van den Driessche P., Wu J., Zhu H. The impact of maturation delay of mosquitoes on the transmission of West Nile virus. Math. Biosci. 2010, 228:119.
19. Feng Z., Velasco-Hernandez J.X. Competitive exclusion in a vector-host model for the dengue fever. J. Math. Biol. 1997, 35:523.
20. Gagnono S.A., Smoyer-Tomic E.K., Bush B.A. The El Niño Southern oscillation and malaria epidemics in South America. Int. J. Biometeorol. 2002, 46:81.
21. Hemingway J., Field L., Vontas J. An overview of insecticide resistance. Science 2002, 298(5591):96.
22. Jang S.R.-J. On a discrete West Nile epidemic model. Comput. Appl. Math. 2007, 26:3.
23. Krpgstal D.J. Malaria as a reemerging disease. Epidemiol. Rev. 1996, 18:77.
24. Labbe P., Berticat C., Berthomieu A., Unal S., Bernald C., Weill M. Forty years of erratic insecticide resistance evolution in the mosquito culex pipiens. PloS Genet. 2007, 3(11):2190.
25. Li J. Simple mathematical models for interacting wild and transgenic mosquito populations. Math. Biosci. 2004, 189:39.
26. Li J. Discrete-time models with mosquitoes carrying genetically-modified bacteria. Math. Biosci. 2012, 240:33.
27. Y. Lou, X.-Q. Zhao, Modelling malaria control by introduction of larvivorous fish, Bull. Math. Biol. http://dx.doi.org/10:1007/s11538-011-9628-6.
28. Lynch P.A., Grimm U., Thomas M.B., Read A.F. Prospective malaria control using entomopathogenic fungi: comparative evaluation of impact on transmission and selection for resistance. Malaria J. 2012, 11(383). 10.1186/1475-2875-11-383.
29. Matambo T.S., Abdalla H., Brooke B.D., Koekemoer L.L., Mnzava A., Hunt R.H., Coetzee M. Insecticide resistance in the malarial mosquito Anopheles arabiensis and association with the kdr mutation. Med. Veterinary Entomol. 2007, 21:97.
30. McKenzie F.E., Samba E.M. The role of mathematical modeling in evidence-based malarial control. Am. J. Trop. Hyg. 2004, 71(2):94.
31. Okogun Godwin Ray Anugboba Life-table analysis of Anopheles malaria vectors: generational mortality as tool in mosquito vector abundance and control studies. J. Vector Born Dis. 2005, 42:45.
32. Peterson J.L. International entomology: pesticide resistance workshop in the Republic of Panama. Wing Beats 2002, 13(2):4.
33. Rafinkov M., Bevilacqua L., Wyse A.P.P. Optimal control strategy of malaria vector using genetically modified mosquitoes. J. Theor. Biol. 2009, 258(7):418.
34. Ranson H., et al. Insecticide resistance in Anopheles gambiae: data from the first year of multi-country study highlight the extent of the problem. Malaria J. 2009, 8:299. 10.1186/1475-2875-8-299.
35. Read A.F., Lynch P.A., Thomas M.B. How to make evolution-proof insecticide for malaria control. Plos Biol. 2009, 7(4):0001.
36. Rose R.I. Pesticides and public health: integrated methods of mosquito management. Emerg. Infectious Dis. 2001, 7(1):17.
37. Roth C.W., Kobeski F., Walter M.F., Biessmann H. Chromosome end elongation by recombination in the mosquito Anopheles gambiae. Mol. Cell. Biol. 1997, 5176.
38. Smith D., McKenzie F.E. Static and dynamics of malaria infection in Anopheles mosquitoes. Malaria J. 2004, 10.1186/1475-2875-3-13.
39. World Health Organization (WHO), WHO alarmed about the spread of dengue, 2007. Available at: http://www.wpro.who.int/mediacentre/pressreleases/pr23072007.htm.
40. World Health Organization (WHO), Vector resistance to pesticides: fifteenth report of the WHO Expert Committee on Vector Biology and Control. Geneva; p61 (WHO Technical Report Series, 818), 1992.