Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam
Vol. 16 No. 1 (2019): Sainmatika : Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam

Studi Numerik Model Virus Hepatitis B dengan Pengaruh Penyembuhan dan Absorpsi

Lisa Risfana Sari (Universitas Internasional Semen Indonesia)
Puji Andayani (Universitas Internasional Semen Indonesia, Gresik)



Article Info

Publish Date
05 Aug 2019

Abstract

The phenomenon of Hepatitis B outbreak almost occurs in all developing countries including Indonesia. Hepatitis B infection can develop into acute or chronic. In the chronic stage, the infection can cause liver complications such as liver cirrhosis or liver cancer or even death. Mathematical modeling have been widely used to study the Hepatitis B virus infection. In this study a mathematical model is constructed by considering non-cytolytic immune response and pathogen absorption. The model is analyzed by determining the equilibrium point of the model, determining the existence of the equilibrium point, and analyzing the stability of the equilibrium point of the model with numerical simulation. In this case, numerical analysis is used to illustrate the conditions of infection-free and infected. Furthermore, the relation of the stability requirements of each equilibrium point is studied. The results show that there are two equilibrium points, uninfected and infected equilibrium point. Both of the uninfected equilibrium point and infected equilibrium point is asymptotically stable if a certain condition are met. Based on these results, the causes of a persistent infection are studied.

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Journal Info

Abbrev

sainmatika

Publisher

Subject

Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

Description

Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam with registered number ISSN 1829 586X (print) and ISSN 2581-0170 (online) is a scientific journal managed and published by Faculty of Mathematics and Natural Science, Universitas PGRI Palembang. Sainmatika Journal publishes research ...