Open AccessAnalisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik
Author(s) -
Jafaruddin,
Rapmaida M. Pangaribuan,
Aryanto,
Irena A. Henukh
Publication year - 2017
Publication title -
jurnal matematika
Language(s) - English
Resource type - Journals
eISSN - 2655-0016
pISSN - 1693-1394
DOI - 10.24843/jmat.2017.v07.i01.p77
Subject(s) - human immunodeficiency virus (hiv) , vector (molecular biology) , equilibrium point , transmission (telecommunications) , host (biology) , point (geometry) , virology , stability (learning theory) , computer science , medicine , mathematics , biology , mathematical analysis , ecology , recombinant dna , telecommunications , biochemistry , geometry , gene , differential equation , machine learning
HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if then the disease-free equilibrium point is stable and if then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS.
Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.