Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus
Autor(es): Dumont Y, Tchuenche J M
Resumo: Chikungunya is an arthropod-borne disease caused by the Asian tiger mosquito, Aedes albopictus. It can be an important burden to public health - a great cause of morbidity -, sometimes, mortality. Underst-ing if - when disease control measures should be taken is key to curtail its spread. Dumont - Chiroleu (Math Biosc Eng 7(2):315-348, 2010) showed that the use of chemical control tools such as adulticide - larvicide, - mechanical control, which consists of reducing the breeding sites, would have been useful to control the explosive 2006 epidemic in Réunion Isl-. Despite this, chemical control tools cannot be of long-time use, because they can induce mosquito resistance, - are detrimental to the biodiversity. It is therefore necessary to develop - test new control tools that are more sustainable, with the same efficacy (if possible). Mathematical models of sterile insect technique (SIT) to prevent, reduce, eliminate or stop an epidemic of Chikungunya are formulated - analysed. In particular, we propose a new model that considers pulsed periodic releases, which leads to a hybrid dynamical system. This pulsed SIT model is coupled with the human population at different epidemiological states in order to assess its efficacy. Numerical simulations for the pulsed SIT, using an appropriate numerical scheme are provided. Analytical - numerical results indicate that pulsed SIT with small - frequent releases can be an alternative to chemical control tools, but only if it is used or applied early after the beginning of the epidemic or as a preventive tool.
Palavras-Chave: Impulse differential equation; Chikungunya; Vector-borne disease; Sterile insect technique; Vector control; Basic reproduction number; Floquet theory; Equilibrium; Global stability; Dynamically consistent scheme
Imprenta: Journal of Mathematical Biology, v. 65, n. 5, p. 809-854, 2012
Identificador do objeto digital: 10.1007/s00285-011-0477-6
Descritores: Chikungunya virus - Pathogenesis ; Chikungunya virus - Viral infections ; Chikungunya Virus - Virus ; Chikungunya virus - Larvicide ; Chikungunya virus - Transmission ; Chikungunya virus - Chikungunya fever ; Chikungunya virus - Epidemic ; Chikungunya virus - Epidemiology ; Chikungunya virus - Public health
Data de publicação: 2012
