Parameter inference for HIV stochastic diffusion model in closed heterosexual population | Zendy

AbouBakre Abdellah | Zendy; El Maroufy Hamid | Zendy

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Parameter inference for HIV stochastic diffusion model in closed heterosexual population

Author(s) -

AbouBakre Abdellah,

El Maroufy Hamid

Publication year - 2018

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4940

Subject(s) - mathematics , discretization , estimator , asymptotic distribution , consistency (knowledge bases) , diffusion process , inference , normality , population , likelihood function , quasi likelihood , estimation theory , mathematical optimization , statistics , mathematical analysis , computer science , innovation diffusion , negative binomial distribution , poisson distribution , knowledge management , geometry , demography , artificial intelligence , sociology

In this paper, we consider a model of HIV dynamic. We formulate the stochastic diffusion approximations process associated to the discrete model. Our aim is to estimate the parameters of this model, using a contrast function associated to the likelihood derived from the discretized continuous process. The consistency and asymptotic normality of the estimator are established. The theoretical results are illustrated by numerical simulations. A real application to Morocco's case has discussed.

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