H. Caraballo and K. King, Emergency department management of mosquito-borne illness: malaria, dengue, and West Nile virus. Emergency medicine practice, vol.16, pp.1-23, 2014.

, Zika virus disease: from origin to outbreak, chapter 2, Mosquito-Borne Diseases, 2018.

, World Health Organization et al. A global brief on vector-borne diseases, World Health Organization, 2014.

T. John, R. S. Roehrig, . Lanciotti, and . Arboviruses, Clinical Virology Manual, Fourth Edition, pp.387-407, 2009.

S. Bhatt, W. Peter, . Gething, J. Oliver, J. P. Brady et al., The global distribution and burden of dengue, Nature, vol.496, issue.7446, p.504, 2013.

S. Donald, E. A. Shepard, . Undurraga, A. Yara, J. D. Halasa et al., The global economic burden of dengue: a systematic analysis. The Lancet infectious diseases, vol.16, pp.935-941, 2016.

S. Sharma, R. Kooner, and R. Arora, Insect pests and crop losses, Breeding Insect Resistant Crops for Sustainable Agriculture, pp.45-66, 2017.

E. Oerke, Crop losses to pests, The Journal of Agricultural Science, vol.144, issue.1, pp.31-43, 2006.

A. E. Douglas, Strategies for enhanced crop resistance to insect pests. Annual review of plant biology, vol.69, pp.637-660, 2018.

D. Valle, A. Thiago, A. J. Belinato, and . Martins, Dengue: teorias e práticas, chapter Controle químico de Aedes aegypti, resistência a inseticidas e alternativas, pp.93-126, 2015.

F. Catteruccia and W. R. Shaw, Vector biology meets disease control: Using basic research to fight vectorborne diseases, Nature microbiology, vol.4, pp.20-34, 2019.

H. Schechtman and M. O. Souza, Costly inheritance and the persistence of insecticide resistance in Aedes aegypti populations, PloS one, vol.10, issue.5, p.123961, 2015.

J. Hemingway and H. Ranson, Insecticide resistance in insect vectors of human disease, Annual review of entomology, vol.45, issue.1, pp.371-391, 2000.

J. C. Koella, P. A. Lynch, M. B. Thomas, and A. F. Read, Towards evolutionproof malaria control with insecticides, Evolutionary Applications, vol.2, issue.4, pp.469-480, 2009.

J. Vontas, . Kioulos, . Pavlidi, . Morou, H. Della-torre et al., Insecticide resistance in the major dengue vectors aedes albopictus and aedes aegypti, Pesticide Biochemistry and Physiology, vol.104, issue.2, pp.126-131, 2012.

G. De and A. Garcia, O papel da resistência a inseticidas e da densidade de Aedes aegypti na disseminação da Wolbachia em populações nativas do Rio de Janeiro, Brasil, 2017.

G. A. Garcia, G. Sylvestre, M. R. David, A. Martins, A. M. Daniel et al., The riddle solved on a local grocery store: the release of Aedes aegypti as resistant to pyrethroids as the wild population is essential for Wolbachia invasion, Book of Abstracts of the 7th International Congress of the Society for Vector Ecology, 2017.

G. L. Phillip-j-daborn and . Goff, The genetics and genomics of insecticide resistance, TRENDS in Genetics, vol.20, issue.3, pp.163-170, 2004.

P. Labbé, H. Alout, L. Djogbénou, N. Pasteur, and M. Weill, Evolution of resistance to insecticide in disease vectors, Genetics and evolution of infectious disease, pp.363-409, 2011.

J. Hofbauer and K. Sigmund, Evolutionary games and population dynamics. Cambridge university press, 1998.

J. Warren and . Ewens, What Changes Has Mathematics Made to the Darwinian Theory, The Mathematics of Darwin's Legacy, pp.7-26, 2011.

P. Schuster, Mathematical modeling of evolution. solved and open problems, vol.130, pp.71-89, 2011.

P. Schuster, The mathematics of Darwin's theory of evolution: 1859 and 150 years later, The Mathematics of Darwin's Legacy, pp.27-66, 2011.

R. Bürger, Some mathematical models in evolutionary genetics, The Mathematics of Darwin's Legacy, pp.67-89, 2011.

T. Huillet and S. Martinez, Discrete evolutionary genetics. Multiplicative fitnesses and the mutation-fitness balance, Applied Mathematics, vol.2, issue.1, pp.11-22, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00526859

P. Schuster and K. Sigmund, Replicator dynamics, Journal of theoretical biology, vol.100, issue.3, pp.533-538, 1983.

J. Hofbauer, P. Schuster, and K. Sigmund, Game dynamics in Mendelian populations, Biological Cybernetics, vol.43, issue.1, pp.51-57, 1982.

S. Barbosa, M. Ian, and . Hastings, The importance of modelling the spread of insecticide resistance in a heterogeneous environment: the example of adding synergists to bed nets, Malaria journal, vol.11, issue.1, p.258, 2012.

B. Levick, A. South, and I. M. Hastings, A two-locus model of the evolution of insecticide resistance to inform and optimise public health insecticide deployment strategies, PLoS computational biology, vol.13, issue.1, p.1005327, 2017.

R. Taylor and J. C. Headley, Insecticide resistance and the evaluation of control strategies for an insect population, The Canadian Entomologist, vol.107, issue.3, pp.237-242, 1975.

N. Hugh and . Comins, The development of insecticide resistance in the presence of migration, Journal of theoretical biology, vol.64, issue.1, pp.177-197, 1977.

E. Charles, G. P. Taylor, and . Georghiou, Suppression of insecticide resistance by alteration of gene dominance and migration, Journal of Economic Entomology, vol.72, issue.1, pp.105-109, 1979.

F. James, M. Crow, and . Kimura, An introduction to population genetics theory. An introduction to population genetics theory, 1970.

C. Cf, Theoretical models of the use of insecticide mixtures for the management of resistance, Bulletin of entomological research, vol.75, issue.2, pp.259-266, 1985.

. Gs-mani, Evolution of resistance in the presence of two insecticides, Genetics, vol.109, issue.4, pp.761-783, 1985.

A. South, M. Ian, and . Hastings, Insecticide resistance evolution with mixtures and sequences: a model-based explanation, Malaria journal, vol.17, issue.1, p.80, 2018.

P. A. Andrew-f-read, M. Lynch, and . Thomas, How to make evolution-proof insecticides for malaria control, PLoS biology, vol.7, issue.4, p.1000058, 2009.

A. Stephen, R. Gourley, J. Liu, and . Wu, Slowing the evolution of insecticide resistance in mosquitoes: a mathematical model, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.467, pp.2127-2148, 2011.

D. Langemann, O. Richter, and A. Vollrath, Multi-gene-loci inheritance in resistance modeling, Mathematical biosciences, vol.242, issue.1, pp.17-24, 2013.

W. Klonowski, Simplifying principles for chemical and enzyme reaction kinetics, Biophysical Chemistry, vol.18, issue.2, pp.73-87, 1983.

. Ea-elbadry and . Tawfik, Life cycle of the mite Adactylidium sp. (Acarina: Pyemotidae), a predator of thrips eggs in the United Arab Republic, Annals of the Entomological Society of America, vol.59, issue.3, pp.458-461, 1966.

S. Gould, The panda's thumb: More reflections in natural history, 2010.

H. Craig and . Welch, Shortest reproductive life. University of Florida Book of Insect Records, 1998.

E. Robert, Singular perturbation methods for ordinary differential equations, vol.89, 1991.

A. W. Edwards, Punnett's square, Data-Driven Research in the Biological and Biomedical Sciences On Nature and Normativity: Normativity, Teleology, and Mechanism in Biological Explanation, vol.43, pp.219-224, 2012.

O. Edward, . Wilson, H. William, and . Bossert, A primer of population biology, 1971.

I. Barb?lat, Systèmes d'équations différentielles d'oscillations non linéaires, Rev. Math. Pures Appl, vol.4, pp.267-270, 1959.

B. Farkas and S. Wegner, Variations on Barb?lat's lemma, The American Mathematical Monthly, vol.123, issue.8, pp.825-830, 2016.

A. Ary, M. Hoffmann, and . Turelli, Facilitating Wolbachia introductions into mosquito populations through insecticide-resistance selection, Proceedings of the Royal Society B: Biological Sciences, vol.280, p.20130371, 1760.

L. Alphey, Genetic control of mosquitoes, Annual review of entomology, vol.59, 2014.

A. Ary, . Hoffmann, A. Perran, G. Ross, and . Ra?i?, Wolbachia strains for disease control: ecological and evolutionary considerations, Evolutionary applications, vol.8, issue.8, pp.751-768, 2015.