In this paper, two techniques of parameter estimation based on the Euler-maximum likelihood are used to estimate some influential parameters of a stochastic SIS epidemic model of transmission of HIV/AIDS. The latter is alimented by a constant flow of new members whose fraction is infective. After presenting the two estimation techniques, we adress a complete study of the consistency and convergence of the proposed estimators. Data concerning HIV/AIDS in Morocco are used to simulate the different results and to compare the effectiveness of the used techniques.
Digital Object Identifier (DOI)
El Ansari, Youness; El Myr, Ali; and Omari, Lahcen
"Parameter Inference of a Stochastic SIS Model of Transmission of HIV/AIDS With Immigration Effect,"
Applied Mathematics & Information Sciences: Vol. 14
, Article 32.
Available at: https://dc.naturalspublishing.com/amis/vol14/iss4/32