Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control

Computers and Mathematics with Applications

Volumn 66, Issue 9, 2013, Pages 1695-1715

  Dufourd, Claire ^a   Dumont, Yves ^b  

^a UNIVERSITY OF PRETORIA   (South Africa)

^b CIRAD   (France)

Author keywords

Advection diffusion reaction equation; Impulse differential equation; Mosquito dispersal; Nonstandard finite difference method; Sterile insect technique Operator splitting

Indexed keywords

ADVECTION-DIFFUSION-REACTION EQUATIONS; ENVIRONMENTAL FACTORS; ENVIRONMENTAL PARAMETER; MOSQUITO DISPERSAL; NONSTANDARD FINITE DIFFERENCE METHOD; OPERATOR-SPLITTING; SPATIO-TEMPORAL MODELS; STERILE INSECT TECHNIQUES;

COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; TOOLS; VIRUSES;

MOSQUITO CONTROL;

EID: 84885481809     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2013.03.024     Document Type: Conference Paper

References (53)

1. R. Ross The relationship of malaria and the mosquito Lancet 2 1900 48 50
2. R. Ross Malaria and mosquitoes Nature 63 1901 440
3. R. Ross The possibility of reducing mosquitoes Nature 72 1905 151
4. Y. Dumont, F. Chiroleu, and C. Domerg On a temporal model for the chikungunya disease: modeling, theory and numerics Mathematical Biosciences 213 2008 80 91
5. Y. Dumont, and F. Chiroleu Vector control for the chikungunya disease Mathematical Biosciences and Engineering 7 2010 313 345
6. S. Bowong, Y. Dumont, J.-J. Tewa, A patchy model for chikungunya-like diseases, BIOMATH (submitted for publication).
7. M. Benedict, R. Levine, W. Hawley, and L. Lounibos Spread of the tiger: global risk of invasion by the mosquito Aedes albopictus Vector-Borne and Zoonotic Diseases 7 2007 76 85
8. C. Paupy, H. Delatte, L. Bagny, V. Corbel, and D. Fontenille Aedes albopictus, an arbovirus vector: from the darkness to the light Microbres and Infection 11 2009 1177 1185
9. N. Gratz Critical review of the vector status of Aedes albopictus Medical and Veterinary Entomology 18 2004 215 227
10. H. Delatte, C. Paupy, J. Dehecq, J. Thiria, A. Failloux, and D. Fontenille Aedes albopictus, vector of chikungunya and dengue viruses in Réunion Island: biology and control Parasite (Paris, France) 15 2008 3
11. C. Paupy, B. Ollomo, B. Kamgang, S. Moutailler, D. Rousset, M. Demanou, J.-P. Herve, E. Leroy, and F. Simard Comparative role of Aedes albopictus and Aedes aegypti in the emergence of dengue and chikungunya in central Africa Vector-Borne and Zoonotic Diseases 10 2010 259 266
12. E. Knipling Sterile-male method of population control Science 130 1959 902 904
13. H. Barclay Mathematical models for the use of sterile insects V. Dyck, J. Hendrichs, A. Robinson, Sterile Insect Technique 2005 Springer Netherlands 147 174
14. R. Anguelov, Y. Dumont, and J. Lubuma Mathematical modeling of sterile insect technology for control of anopheles mosquito Computers and Mathematics with Applications 64 2012 374 389
15. Y. Dumont, and J. Tchuenche Mathematical studies on the sterile insect technique for the chikungunya disease and Aedes albopictus Journal of Mathematical Biology 65 2012 809 855
16. V.S. Manoranjan, and P.V.D. Driessche On a diffusion model for sterile insect release Mathematical Biosciences 79 1986 199 208
17. M. Lewis, and P.V.D. Driessche Waves of extinction from sterile insect release Mathematical Biosciences 116 1993 221 247
18. C. Dufourd, and Y. Dumont Modeling and simulations of mosquito dispersal. The case of Aedes albopictus BIOMATH 1 2012
19. H. Delatte, G. Gimonneau, A. Triboire, and D. Fontenille Influence of temperature on immature development, survival, longevity, fecundity, and gonotrophic cycles of Aedes albopictus, vector of chikungunya and dengue in the Indian Ocean Journal of Medical Entomology 46 2009 33 41
20. Y. Dumont, C. Dufourd, Spatio-temporal modeling of mosquito distribution, in: AIP Conference Proceedings - American Institute of Physics, vol. 1404, pp. 162-165.
21. A. Clements The biology of mosquitoes: development, nutrition, and reproduction The Biology of Mosquitoes 1992 Chapman & Hall
22. S. Boyer, J. Gilles, D. Merancienne, G. Lemperiere, and D. Fontenille Sexual performance of male mosquito Aedes albopictus Medical and Veterinary Entomology 25 2011 454 459
23. F. Fritsch, and R. Carlson Monotone piecewise cubic interpolation SIAM Journal on Numerical Analysis 1980 238 246
24. L. Farina, and S. Rinaldi Positive Linear Systems: Theory and Applications Pure and Applied Mathematics (New York) 2000 Wiley-Interscience New York Theory and applications
25. J. Teixeira, and M.J. Borges Existence of periodic solutions of ordinary differential equations Journal of Mathematical Analysis and Applications 385 2012 414 422
26. F. Balestrino, A. Medici, G. Candini, M. Carrieri, B. Maccagnani, M. Calvitti, S. Maini, and R. Bellini Gamma ray dosimetry and mating capacity studies in the laboratory on Aedes albopictus males Journal of Medical Entomology 47 2010 581 591
27. R. Bellini, M. Calvitti, A. Medici, M. Carrieri, G. Celli, and S. Maini Use of the sterile insect technique against Aedes albopictus in Italy: first results of a pilot trial Area-Wide Control of Insect Pests 2007 505 515
28. C.F. Oliva, M. Jacquet, J. Gilles, G. Lemperiere, P.-O. Maquart, S. Quilici, F. Schooneman, M.J.B. Vreysen, and S. Boyer The sterile insect technique for controlling populations of Aedes albopictus (diptera: Culicidae) on Réunion Island: mating vigour of sterilized males PLoS One 7 2012 e49414
29. R. Mickens Nonstandard Finite Difference Models of Differential Equations 1994 World Scientific Pub. Co. Inc.
30. R. Anguelov, Y. Dumont, and J.M.-S. Lubuma On nonstandard finite difference schemes in biosciences AIP Conference Proceedings 1487 2012 212 223
31. R. Anguelov, Y. Dumont, J. Lubuma, and E. Mureithi Stability analysis and dynamics preserving non-standard finite difference schemes for a malaria model Mathematical Population Studies 20 2 2013 101 122
32. R. Anguelov, Y. Dumont, J.M.-S. Lubuma, M. Shillor, Dynamically consistent nonstandard finite difference schemes for epidemiological models, Journal of Computational and Applied Mathematics, Available online 6 May 2013, http://dx.doi.org/10.1016/j.cam.2013.04.042 (http://www.sciencedirect.com/ science/article/pii/S0377042713002380).
33. Y. Dumont, R. Russel, V. Lecomte, and M. Le Corre Conservation of endangered endemic seabirds within a multi-predator context: the Barau's petrel in Réunion Island Natural Resource Modelling 23 2010 381 436
34. Y. Dumont, and J.M.-S. Lubuma Non-standard finite-difference methods for vibro-impact problems Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 461 2005 1927 1950
35. P. Daykin, F. Kellogg, and R. Wright Host-finding and repulsion of Aedes aegypti The Canadian Entomologist 97 1965 239 263
36. G. Lemperiere, J. Boyer, S. Dehecq, C. Dufourd, Y. Dumont, Influence of rural landscape structures on the dispersal of the Asian tiger mosquito Aedes albopictus: a study case at la Réunion Island, in: 8th IALE (International Association of Landscape Ecology World Congress) Beijing, China, August 18-23, 2011.
37. A. Younes, and P. Ackerer Solving the advection-diffusion equation with the Eulerian-Lagrangian localized adjoint method on unstructured meshes and non uniform time stepping Journal of Computational Physics 208 2005 384 402
38. M. Gillies The role of carbon dioxide in host-finding by mosquitoes (diptera: Culicidae): a review Bulletin of Entomological Research 70 1980 525 532
39. B. Cummins, R. Cortez, I. Foppa, J. Walbeck, and J. Hyman A spatial model of mosquito host-seeking behavior PLoS Computational Biology 8 2012 e1002500
40. O. Ladyžhenskaya, V. Solonnikov, and N. Ural'tseva Linear and Quasi-linear Equations of Parabolic Type, Vol. 23 1968 Amer. Mathematical Society
41. W. Hundsdorfer, and J. Verwer Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations, Vol. 33 2007 Springer Verlag
42. D. Lanser, and J.G. Verwer Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling Journal of Computational and Applied Mathematics 111 1999 201 216 Numerical methods for differential equations (Coimbra, 1998)
43. P. Colella Multidimensional upwind methods for hyperbolic conservation laws Journal of Computational Physics 87 1990 171 200
44. M. Hosea, and L. Shampine Analysis and implementation of tr-bdf2 Applied Numerical Mathematics 20 1996 21 37
45. Scilab Enterprises, Scilab: le logiciel open source gratuit de calcul numérique, Scilab Enterprises, Orsay, France, 2012. http://www.scilab. org.
46. R Development Core Team, R: a language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria, 2011. http://www.R-project.org/.
47. C.F. Oliva, M.J. Maier, J. Gilles, M. Jacquet, G. Lemperiere, S. Quilici, M.J. Vreysen, F. Schooneman, D.D. Chadee, and S. Boyer Effects of irradiation, presence of females, and sugar supply on the longevity of sterile males Aedes albopictus (skuse) under semi-field conditions on Réunion Island Acta Tropica 125 2013 287 293
48. R. Lacroix, H. Delatte, T. Hue, and P. Reiter Dispersal and survival of male and female Aedes albopictus (diptera: Culicidae) on Réunion Island Journal of Medical Entomology 46 2009 1117 1124
49. S.M. White, P. Rohani, and S.M. Sait Modelling pulsed releases for sterile insect techniques: fitness costs of sterile and transgenic males and the effects on mosquito dynamics Journal of Applied Ecology 2010
50. C.-W. Shu High order weighted essentially nonoscillatory schemes for convection dominated problems SIAM Review 51 2009 82 126
51. R. Varga Matrix Iterative Analysis 1962 Prentice-Hall Englewoods Cliffs, NJ
52. M. Vidyasagar Decomposition techniques for large-scale systems with nonadditive interactions: stability and stabilization IEEE Transactions on Automatic Control 25 1980 773 779
53. A. Isidori Nonlinear Control Systems. II Communications and Control Engineering Series 1999 Springer-Verlag London Ltd. London