Optimal control of chikungunya disease: Larvae reduction, treatment and prevention
Autor(es): Moulay Djamila, Aziz-Alaoui M A, Kwon Hee-Dae
Resumo: Since the 1980s, there has been a worldwide re-emergence of vector-borne diseases including Malaria, Dengue, Yellow fever or, more recently, chikungunya. These viruses are arthropod-borne viruses (arboviruses) transmitted by arthropods like mosquitoes of Aedes genus. The nature of these arboviruses is complex since it conjugates human, environmental, biological - geographical factors. Recent researchs have suggested, in particular during the Reunion Isl- epidemic in 2006, that the transmission by Aedes albopictus (an Aedes genus specie) has been facilitated by genetic mutations of the virus - the vector capacity to adapt to non tropical regions. In this paper we formulate an optimal control problem, based on biological observations. Three main efforts are considered in order to limit the virus transmission. Indeed, there is no vaccine nor specific treatment against chikungunya, that is why the main measures to limit the impact of such epidemic have to be considered. Therefore, we look at time dependent breeding sites destruction, prevention - treatment efforts, for which optimal control theory is applied. Using analytical - numerical techniques, it is shown that there exist cost effective control efforts.
Palavras-Chave: Optimal control; Vector-borne disease; Chikungunya; Aedes albopictus
Imprenta: Mathematical Biosciences and Engineering, v. 9, n. 2, p. 369-392, 2012
Identificador do objeto digital: 10.3934/mbe.2012.9.369
Descritores: Chikungunya virus - Arbovirus ; Chikungunya virus - Pathogenesis ; Chikungunya virus - Viral infections ; Chikungunya Virus - Virus ; Chikungunya virus - Transmission ; Chikungunya virus - Vaccine ; Chikungunya virus - Chikungunya fever ; Chikungunya virus - Dengue ; Chikungunya virus - Epidemic ; Chikungunya virus - Public health
Data de publicação: 2012
