CD Skripsi

Analisis Kestabilan Model Infeksi Hbv Orde Fraksional Dengan Penyembuhan Pada Sel Yang Terinfeksi

---

Hepatitis B is an infection of the liver caused by the hepatitis B virus (HBV).
Hepatitis B can be interpreted by mathematical model. In this research, we
present a fractional mathematical model of HBV infection with cure of
infected cells use the fractional derivative order  ∈ (0, 1). Based on the model
analysis, there are two equilibrium points, namely the disease-free equilibrium
point (E1) and the endemic equilibrium point (E2). Furthermore, we obtain
basic reproduction number R0 that determines stability of the equilibriums. The
disease-free equilibrium point (E1) is locally asymptotically stable if R0 < 1,
while the endemic equilibrium point (E2) is locally asymptotically stable
if R0 > 1. Numerical simulations using PECE method are performed with
variations of  to illustrate the dynamical spread of HBV infection with cure
of infected cells. The results of this study indicate that in the fractional order
case, the peak of the infection is reduced, however, the disease takes a longer
time to be eradicated.
Keywords: Fractional calculus, viral dynamics, hepatitis B virus, equilibrium
points, local stability

---

Ketersediaan

Informasi Detail

Judul Seri

-

No. Panggil

03 03. 120 (0026)

Penerbit

Pekanbaru : Universitas Riau – FMIPA – Matematika., 2020

Deskripsi Fisik

xii,47 hlm.: ill.: 29 cm

Bahasa

Indonesia

ISBN/ISSN

-

Klasifikasi

03 03. 120 (0026)

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

MATEMATIKA

Info Detail Spesifik

-

Pernyataan Tanggungjawab

ELFITRA

Versi lain/terkait

Lampiran Berkas

Komentar

---

Anda harus masuk sebelum memberikan komentar