Abstract
Hepatitis B is a contagious liver infection caused by hepatitis B
virus and is a worldwide public health problem. According to WHO about
350 million people are suffering from this chronic disease. Therefore millions of peoples are at stack of cirrhosis, hepatocellular carcinoma, and
cancer of liver or even liver failure. Hepatitis B still has necessary complex issues that must be addressed effectively. In this research paper, we
have developed NSFD scheme for HBV model. The simulations show
that our proposed NSFD scheme gives stable, unconditional, positive and
converging results at all step sizes as compared to the traditional RK-4
method and Euler method which diverge at large step sizes and produce
negative and unstable results with large oscillations.Later we have analyzed the local asymptotic stability of this proposed NSFD scheme using
Linearized Stability Theorem and Schur-Cohn Stability Criteria.
Muhammad Suleman, Samia Riaz. (2017) Unconditionally Stable Numerical Scheme to Study the Dynamics of Hepatitis B Disease, Punjab University Journal of Mathematics, Volume 49, Issue 3.
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