Model Matematika Penyebaran HIV/AIDS dalam Tubuh Manusia dengan Faktor Respon Imun

Abstract: Human Immunodeficiency Virus (HIV) is retrovirus which infects cells of human immune system causes Acquired Immunodeficiency Syndrome (AIDS). The purpose of this paper is to analyze the mathematical model of HIV/AIDS spreading in human body with immune  response  factor and  constantly  dynamical  quantity  of  HIV.  Based  on  analyze HIV/AIDS  model  with  constantly  dynamical  quantity  of  HIV  obtain  three  equilibrium point,  those  are  free-infection  equilibrium  point will  be exist  and asymptotic  locally stable for the immune-absence equilibrium point will be exist and asymptotic locally stable for and and the immune-presence equilibrium point will be exist  and asymptotic  locally  stable  for .  The  interpretation  of  that  model  got  a standart classification for infection phase, based on parameter spread of HIV/AIDS . In a long  term,  the  patient  can  be classified  in  free  infection  HIV  phase  when infection  HIV  phase  when ,  asymptomatic  phase  when and AIDS  phase  when .  The  result  of  simulation  show  that  HIV/AIDS model  with constanly dynamical quantity of HIV tend to constant osilated.
Keywords: HIV/AIDS model, , immune response of CTL, routh-hurwitz criterion
Penulis: Maulida Syarifah, Fatmawati, Yayuk Wahyuni
Kode Jurnal: jpmatematikadd130072

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