L. Alphey, Genetic Control of Mosquitoes, Annual Review of Entomology, vol.59, issue.1, pp.205-224, 2014.
DOI : 10.1146/annurev-ento-011613-162002

L. Alphey, M. Benedict, R. Bellini, G. Clark, D. Dame et al., Sterile-Insect Methods for Control of Mosquito-Borne Diseases: An Analysis, Vector-Borne and Zoonotic Diseases, vol.10, issue.3, pp.295-311, 2010.
DOI : 10.1089/vbz.2009.0014

D. Angeli and E. Sontag, Monotone control systems, IEEE Transactions on Automatic Control, vol.48, issue.10, pp.1684-1698, 2003.
DOI : 10.1109/TAC.2003.817920

URL : http://arxiv.org/abs/math/0206133

D. Angeli, P. Leenheer, and E. Sontag, A small-gain theorem for almost global convergence of monotone systems, Systems & Control Letters, vol.52, issue.5, pp.407-414, 2004.
DOI : 10.1016/j.sysconle.2004.02.017

N. Barton and M. Turelli, Spatial Waves of Advance with Bistable Dynamics: Cytoplasmic and Genetic Analogues of Allee Effects, The American Naturalist, vol.178, issue.3, pp.48-75, 2011.
DOI : 10.1086/661246

M. Blagrove, C. Arias-goeta, A. Failloux, and S. Sinkins, Wolbachia strain wMel induces cytoplasmic incompatibility and blocks dengue transmission in Aedes albopictus, Proceedings of the National Academy of Sciences, vol.109, issue.1, pp.255-260, 2012.
DOI : 10.1073/pnas.1112021108

URL : https://hal.archives-ouvertes.fr/pasteur-00647866

M. Blagrove, C. Arias-goeta, D. Genua, C. Failloux, A. Sinkins et al., A Wolbachia wMel Transinfection in Aedes albopictus Is Not Detrimental to Host Fitness and Inhibits Chikungunya Virus, PLoS Neglected Tropical Diseases, vol.476, issue.3, p.2152, 2013.
DOI : 10.1371/journal.pntd.0002152.g004

W. Coppel, Stability and asymptotic behavior of differential equations. Heath mathematical monographs, 1965.

C. Cosner, Comparison principles for systems that embed in cooperative systems, with applications to diffusive Lotka?Volterra models, Dynamics of Continuous, Discrete and Impulsive Systems, vol.3, pp.283-303, 1997.

G. Enciso, Fixed points and convergence in monotone systems under positive or negative feedback, International Journal of Control, vol.383, issue.1, pp.301-311, 2014.
DOI : 10.1016/j.sysconle.2009.12.008

G. Enciso and E. Sontag, Nonmonotone systems decomposable into monotone systems with negative feedback, Journal of Differential Equations, vol.224, issue.1, pp.205-227, 2006.
DOI : 10.1016/j.jde.2005.05.007

URL : http://doi.org/10.1016/j.jde.2005.05.007

R. De-freitas and D. Valle, Challenges encountered using standard vector control measures for dengue in Boa Vista, Brazil, Bulletin of the World Health Organization, vol.92, issue.9, pp.685-689, 2014.
DOI : 10.2471/BLT.13.119081

F. Frentiu, T. Zakir, T. Walker, J. Popovici, A. Pyke et al., Limited Dengue Virus Replication in Field-Collected Aedes aegypti Mosquitoes Infected with Wolbachia, PLoS Neglected Tropical Diseases, vol.87, issue.2, p.2688, 2014.
DOI : 10.1371/journal.pntd.0002688.s002

T. Gedeon and G. Hines, Multi-valued characteristics and Morse decompositions, Journal of Differential Equations, vol.247, issue.4, pp.1013-1042, 2009.
DOI : 10.1016/j.jde.2009.04.019

URL : http://doi.org/10.1016/j.jde.2009.04.019

J. Gouzé, A criterion of global convergence to equilibrium for differential systems with an application to Lotka-Volterra systems, 1988.

P. Hancock and H. Godfray, Modelling the spread of Wolbachia in spatially heterogeneous environments, Journal of The Royal Society Interface, vol.178, issue.3, pp.3045-3054, 2012.
DOI : 10.1086/661247

M. Hirsch, Stability and convergence in strongly monotone dynamical systems, J reine angew Math, vol.383, pp.1-53, 1988.

A. Hoffmann, B. Montgomery, J. Popovici, I. Iturbe-ormaetxe, P. Johnson et al., Successful establishment of Wolbachia in Aedes populations to suppress dengue transmission, Nature, vol.53, issue.7361, pp.454-457, 2011.
DOI : 10.1038/nature10356

H. Hughes and N. Britton, Modelling the Use of Wolbachia to Control Dengue Fever Transmission, Bulletin of Mathematical Biology, vol.310, issue.5, pp.796-818, 2013.
DOI : 10.1007/s11538-013-9835-4

J. Koiller, D. Silva, M. Souza, M. Codeço, C. Iggidr et al., Aedes, Wolbachia and Dengue, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00939411

L. Salle and J. , The Stability of Dynamical Systems, 1976.
DOI : 10.1137/1.9781611970432

M. Malisoff and P. Leenheer, A small-gain theorem for monotone systems with multi-valued inputstate characteristics, IEEE Transactions on Automatic Control, vol.41, issue.2, pp.287-292, 2006.

I. Montella, A. Martins, P. Viana-medeiros, J. Lima, I. Braga et al., Insecticide resistance mechanisms of Brazilian Aedes aegypti populations from, The American journal of tropical medicine and hygiene, vol.77, issue.3, pp.467-477, 2001.

L. Moreira, I. Iturbe-ormaetxe, J. Jeffery, G. Lu, A. Pyke et al., A Wolbachia Symbiont in Aedes aegypti Limits Infection with Dengue, Chikungunya, and Plasmodium, ) A Wolbachia Symbiont in Aedes aegypti Limits Infection with Dengue, Chikungunya, and Plasmodium, pp.1268-1278, 2009.
DOI : 10.1016/j.cell.2009.11.042

M. Ndii, R. Hickson, D. Allingham, and G. Mercer, Modelling the transmission dynamics of dengue in the presence of Wolbachia, Mathematical Biosciences, vol.262, pp.157-166, 2015.
DOI : 10.1016/j.mbs.2014.12.011

O. Neill, S. Hoffman, A. Werren, and J. , Influential Passengers: Inherited Microorganisms and Arthropod Reproduction, 1998.

J. Popovici, L. Moreira, A. Poinsignon, I. Iturbe-ormaetxe, D. Mcnaughton et al., Assessing key safety concerns of a Wolbachia-based strategy to control dengue transmission by Aedes mosquitoes, Memórias do Instituto Oswaldo Cruz 105, pp.957-964, 2010.
DOI : 10.1590/S0074-02762010000800002

J. Rasgon and T. Scott, (Rickettsiales: Rickettsiaceae) Infections in Selected California Mosquitoes (Diptera: Culicidae) : Table 1, Journal of Medical Entomology, vol.41, issue.2, pp.255-257, 2004.
DOI : 10.1603/0022-2585-41.2.255

H. Smith, Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems, Mathematical surveys and monographs, vol.41, 1995.
DOI : 10.1090/surv/041

DOI : 10.1111/j.1558-5646.2009.00822.x

T. Walker, P. Johnson, L. Moreira, I. Iturbe-ormaetxe, F. Frentiu et al., The wMel Wolbachia strain blocks dengue and invades caged Aedes aegypti populations, Nature, vol.74, issue.7361, pp.450-453, 2011.
DOI : 10.1038/nature10355