Open AccessModelling the effect of horizontal and vertical transmissions of HIV infection with efficient control strategies
Author(s) -
Umar Tasiu Mustapha,
Tamer Şanlıdağ,
Evren Hınçal,
Bilgen Kaymakamzade,
Sule Muhammad,
Nezihal Gökbulut
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m2/106-114
Subject(s) - basic reproduction number , transmission (telecommunications) , human immunodeficiency virus (hiv) , horizontal transmission , horizontal and vertical , mathematics , operator (biology) , control theory (sociology) , reproduction , stability (learning theory) , simulation , statistics , biology , computer science , control (management) , medicine , virology , geometry , telecommunications , ecology , artificial intelligence , population , genetics , virus , environmental health , repressor , machine learning , transcription factor , gene
In this paper a mathematical model is developed to study the transmission dynamics of HIV infection and the effect of horizontal and vertical transmission in Turkey is analyzed. Model is fitted with the use of confirmed HIV cases of both vertical and horizontal transmission from 2011 to 2018. Using the next generation operator the basic reproduction number of the model is obtained, which shows whether the disease persists or dies out in time. Further analysis shows that the model is locally asymptotically stable when the basic reproduction number R0 1. The most sensitive parameters efficient for the control of the infection are obtained using forward normalized sensitivity index. Lastly, the results are obtained with the aid of mesh and contour plots, which show that decreasing the values of transmission rate diseases induced mortality rates and progression rates play a significant role in controlling the spread of HIV transmission.