Parameter Inference of a Stochastic SIS Model of Transmission of HIV/AIDS With Immigration Effect

Authors

Youness El Ansari, Department of Mathematics, Laboratory of Computer Sciences Modeling and systems, Faculty of Sciences Dhar-Mehraz, University Sidi Mohamed Ben Abdellah, B.P. 1796-Atlas, Fez, MoroccoFollow
Ali El Myr, Department of Mathematics, Laboratory of Computer Sciences Modeling and systems, Faculty of Sciences Dhar-Mehraz, University Sidi Mohamed Ben Abdellah, B.P. 1796-Atlas, Fez, MoroccoFollow
Lahcen Omari, Department of Mathematics, Laboratory of Computer Sciences Modeling and systems, Faculty of Sciences Dhar-Mehraz, University Sidi Mohamed Ben Abdellah, B.P. 1796-Atlas, Fez, MoroccoFollow

Author Country (or Countries)

Morocco

Abstract

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)

http://dx.doi.org/10.18576/amis/140410

Recommended Citation

El Ansari, Youness; El Myr, Ali; and Omari, Lahcen (2020) "Parameter Inference of a Stochastic SIS Model of Transmission of HIV/AIDS With Immigration Effect," Applied Mathematics & Information Sciences: Vol. 14: Iss. 4, Article 10.
DOI: http://dx.doi.org/10.18576/amis/140410
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss4/10