Malaysian Journal of Mathematical Sciences, June 2026, Vol. 20, No. 2
Analysis of Hepatitis C Virus Dynamics with Dual Transmissions using Sliding Mode Controller
Pichani, C., Chinnathambi, R.
Corresponding Email: rajivganthi.c@vit.ac.in
Received date: 1 March 2025
Accepted date: 31 October 2025
Abstract:
This work describes a HCV model infection with four state variables, such as uninfected and infected hepatocytes, antibodies, virions. Here, the model contains dual transmission rate such that the disease can be transmitted by infected cell also. The model incorporates two control inputs: ribavirin, which suppresses virion generation, and pegylated interferon (peg-IFN-α), which targets infected hepatocytes. Four novel non-linear control schemes are introduced, which as the integer and fractional-order terminal, integral, double integral sliding mode controller. These controllers attempt to maximize the uninfected hepatocytes, antibodies and minimize the virions, infected hepatocytes to zero. We studied the comparison results of these controllers.
Numerical simulations validate the theoretical conclusions.
Keywords: HCV model; Lyapunov function; sliding mode controller; stability.
