Identifiablility of parameters in an epidemiologic model modeling the transmission of the Chikungunya

Djamila Moulay (1) , Nathalie Verdière (1) , Lilianne Denis-Vidal (2)

1 LMAH - Laboratoire de Mathématiques Appliquées du Havre
2 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne

In the last years, several epidemics have been reported in particular the chikungunya epidemic on the R eunion Island. For predicting its possible evolution, new models describing the transmission of the chikungunya to the human population have been proposed and studied in the literature. In such models, some parameters are not directely accessible from experiments and for estimating them, iterative algorithms can be used. However, before searching for their values, it is essential to verify the identi ability of models parameters to assess wether the set of unknown parameters can be uniquely determined from the data. Thus, identi ability is particularly important in modeling. Indeed, if the model is not identi able, numerical procedures can fail and in that case, some supplementary data have to be added or the set of admissible data has to be reduced. Thus, this paper proposes to study the identi ability of the proposed models by (Moulay, Aziz-Alaoui & Cadivel 2011).

Mots clés: Identifiability; Nonlinear models; Epidemiologic model; Chikungunya virus.

Mots clés: Chikungunya virus

Domaines: Systèmes dynamiques [math.DS]

Djamila Moulay, Nathalie Verdière, Lilianne Denis-Vidal. Identifiablility of parameters in an epidemiologic model modeling the transmission of the Chikungunya. 2012. ⟨hal-00699172⟩