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Author(s)
Reduction of mosquito populations will, at least,
reduce substantially the transmission of malaria disease. One potential
method of achieving this reduction is the environmentally-friendly
population control method known as the Sterile Insect Control (SIT)
method. The SIT method has so far not been widely used against insect
disease vectors, such as mosquitoes, because of various practical
difficulties in rearing, sterilization and distribution of the parasite
population. For mosquitoes, male-only release is considered essential
since sterile females will bite and so may transmit disease, whereas
male mosquitoes do not bite. This work concerns the mathematical
modelling of the effectiveness of Sterile Insect Technique for Aedes
aegypti mosquitoes, when the female sexual preference is incorporated.
We found that for a released value of the sterile male mosquito below
40,000, the wild mosquito population decreases over time while the
sterile male mosquito population increases. Therefore, the transmission
of malaria and dengue infection declines because the sterile male
mosquitoes dominated the environment. We also found that for a released
value of the sterile male mosquito above 40,000, the wild mosquito
population decreases and the sterile male mosquito population decreases
as well. Therefore, if the injection of sterile male mosquitoes is large
enough, the environment will be rid of mosquitoes over time. The result
also shows that if sexual selection is incorporated into a reaction
diffusion system, modelling the spread of Aedes aegypti mosquitoes, the
Sterile Insect Technique (SIT) will still be a successful control
measure.
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Cite this paper
Patinvoh, R. and Susu, A. (2014) Mathematical
Modelling of Sterile Insect Technology for Mosquito Control. Advances in Entomology, 2, 180-193. doi: 10.4236/ae.2014.24027.
[1] | Roll Back Malaria (2001) Country Strategies and Resource Requirements. WHO/CDS/RBM/2001.34 |
[2] | Ribeiro, J.M.C. (1987) Role of Saliva in Blood-Feeding by Arthropods. Annual Review of Entomology, 32, 463-478. http://dx.doi.org/10.1146/annurev.en.32.010187.002335 |
[3] | Cator, L.J, Arthur, B.J., Harrington, L.C. and Hoy, R.R. (2009) Harmonic Convergence in the Love Songs of the Dengue Vector. Mosquito. Science, 323, 1077-1079. |
[4] | Crow, J.F. (1986) Basic Concepts in Population, Quantitative, and Evolutionary Genetics. W.H. Freeman, New York, 273. |
[5] | Lee, N., Elias, D.O. and Mason, A.C. (2009) A Precedence Effect Resolves Phantom Sound Source Illusions in the Parasitoid Fly Ormia ochracea. Proceedings of the National Academy of Sciences of the United States of America, 106, 6357-6362. http://dx.doi.org/10.1073/pnas.0809886106 |
[6] |
Cator, L.J., NgHabi, K.R., Hoy,
R.R. and Harrington, L.C. (2010) Sizing up a Mate: Variation in
Production and Response to Acoustic Signals in Anopheles gambiae.
Behavioral Ecology, 21, 1033-1039. http://dx.doi.org/10.1093/beheco/arq087 |
[7] | Belton, P, (1994) Attraction of Male Mosquitoes to Sound. Journal of the American Mosquito Control Association, 10, 297-301. |
[8] | Clements, A.N. (1999) The Biology of Mosquitoes. Sensory Reception and Behavior. CABI Publishing Inc., New York. |
[9] | Yuval, B. and Bouskila, A. (1993) Temporal Dynamics of Mating and Predation in Mosquito Swarms. Oecologia, 85, 65-69. |
[10] |
Yuval, B., Wekesa, J.W. and
Washino, R.K. (1993) Effects of Body Size on Swarming Behavior and
Mating Success of Male Anopheles Freeborni (Diptera: Culicidae). Journal
of Insect Behavior, 6, 333-342. http://dx.doi.org/10.1007/BF01048114 |
[11] | Engelstädter, J. (2010) The Effective Size of Populations Infected with Cytoplasmic Sex-Ratio Distorters. Genetics, 186, 309-320. http://dx.doi.org/10.1534/genetics.110.120014 |
[12] |
Anguelov, R., Dumont, Y. and
Lubuma, J. (2012) Mathematical Modelling of Sterile Insect Technology
for Control of Anopheles Mosquito. Computers and Mathematics with
Applications, 64, 374-389. http://dx.doi.org/10.1016/j.camwa.2012.02.068 |
[13] | Parshad, R.D. and Agusto, F.B. (2011) Global Dynamics of a PDE Model for Aedes aegypti Mosquitoe Incorporating Female Sexual Preference. Dynamics of Partial Differential Equations, 8, 311-343. |
[14] |
Thomé, R.C.A, Yang, H.M. and
Esteva, L. (2010) Optimal Control of Aedes aegypti Mosquitoes by the
Sterile Insect Technique and Insecticide. Mathematical Biosciences, 223,
12-23. http://dx.doi.org/10.1016/j.mbs.2009.08.009 |
[15] | Bartlett, A.C. (1990) Insect, Sterility, Insect Genetics, and Insect Control. In: Pimentel, D., Ed., Handbook of Pest Management in Agriculture, CRC Press, Boca Raton, 279-287. |
[16] |
Esteva, L. and Yang, H.M. (2005)
Mathematical Model to Assess the Control of Aedes aegypti Mosquitoes by
the Sterile Insect Technique. Mathematical Biosciences, 198, 132-147. http://dx.doi.org/10.1016/j.mbs.2005.06.004 |
[17] | Gubler, D.J. (1986) Dengue, the Arboviruses, Epidemiology and Ecology. Vol. 11, Monath, T.P., Ed., p. 213. |
[18] |
Rafikov, M., Bevilacqua, L. and
Wyse, A.P.P. (2009) Optimal Control Strategy of Malaria Vector Using
Genetically Modified Mosquitoes. Journal of Theoretical Biology, 258,
418-429. http://dx.doi.org/10.1016/j.jtbi.2008.08.006 |
[19] | Takahashi, L.T., Maidana, N.A., Ferreira Jr., W.C., Pulino, P. and Yang, H.M. (2005) Mathematical Models for the Aedes aegypti Dispersal Dynamics: Travelling Waves by Wing and Wind. Bulletin of mathematical Biology, 67, 509-528. http://dx.doi.org/10.1016/j.bulm.2004.08.005 |
[20] | Jacob-Lorena, M. Genetic Approaches for Malaria Control. Johns Hopkins School of Public Health, Malaria Research Institute, Dept. Molecular Microbiology and Immunology, Baltimore. eww141015lx |
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