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BİR VİRAL DİNAMİK MODELİN GLOBAL KARARLILIĞI VE PERİYODİK ÇÖZÜMÜ

GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL

Journal Name:

  • Süleyman Demirel Üniversitesi Fen Dergisi

Publication Year:

  • 2007

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, we consider the classical viral dynamic mathematical model. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction R0 < 1 number, the HIV infection is cleared from the T-cell population; if R0 > 1, the HIV infection persists. For an open set of parameter values, the chronic- infection equilibrium E1* can be unstable and periodic solutions may exist. We establish parameter regions for which E1* is globally stable.
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Abstract (Original Language): 
Bu makalede klasik viral dinamik modeli ele aldık. Modelin global dinamikleri oluşturuldu. Eğer temel üretim sayısı R0 < 1 olur ise HIV enfeksiyonu T hücre nüfusundan çıkartılır, eğer R0 > 1 olursa HIV enfeksiyonu çıkartılamaz. Parametre değerlerinin açık bir kümesi için kronik enfeksiyon dengesi E1* kararsızdır ve periyodik çözüm oluşabilir. E1* ın global kararlı olduğu parametre bölgeleri oluşturuldu.
FULL TEXT (PDF): 
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  • 2
216-227
  • Turkish

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