In this paper, we delve into the intricate local dynamics at equilibria within a two-dimensional model of hepatitis C virus (HCV) alongside hepatocyte homeostasis. The study investigates the existence of bifurcation sets and conducts a comprehensive bifurcation analysis to elucidate the system’s behavior under varying conditions. A significant focus lies on understanding how changes in parameters can lead to bifurcations, which are pivotal points where the qualitative behavior of the system undergoes fundamental transformations. Moreover, the paper introduces and employs hybrid control feedback and Ott–Grebogi–Yorke strategies as tools to manage and mitigate chaos inherent within the HCV model. This chaos arises due to the presence of flip and Neimark–Sacker bifurcations, which can induce erratic behavior in the system. Through the implementation of these control strategies, the study aims to stabilize the system and restore it to a more manageable and predictable state. Furthermore, to validate the theoretical findings and the efficacy of the proposed control strategies, extensive numerical simulations are conducted. These simulations serve as a means of confirming the theoretical predictions and provide insight into the practical implications of the proposed control methodologies. By combining theoretical analysis with computational simulations, the paper offers a comprehensive understanding of the dynamics of the HCV model and provides valuable insights into potential strategies for controlling and managing chaos in such complex biological systems.
Skip Nav Destination
Article navigation
June 2024
Research Article|
June 05 2024
Chaos and bifurcations of a two-dimensional hepatitis C virus model with hepatocyte homeostasis
A. Q. Khan
;
A. Q. Khan
a)
(Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing)
Department of Mathematics, University of Azad Jammu and Kashmir
, Muzaffarabad 13100, Pakistan
a)Author to whom correspondence should be addressed: [email protected]
Search for other works by this author on:
Department of Mathematics, University of Azad Jammu and Kashmir
, Muzaffarabad 13100, Pakistan
a)Author to whom correspondence should be addressed: [email protected]
b)
Email: [email protected]
Chaos 34, 063113 (2024)
Article history
Received:
February 17 2024
Accepted:
May 06 2024
Citation
A. Q. Khan, S. Younis; Chaos and bifurcations of a two-dimensional hepatitis C virus model with hepatocyte homeostasis. Chaos 1 June 2024; 34 (6): 063113. https://doi.org/10.1063/5.0203886
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
115
Views
Citing articles via
Introduction to Focus Issue: Data-driven models and analysis of complex systems
Johann H. Martínez, Klaus Lehnertz, et al.
Sex, ducks, and rock “n” roll: Mathematical model of sexual response
K. B. Blyuss, Y. N. Kyrychko
Selecting embedding delays: An overview of embedding techniques and a new method using persistent homology
Eugene Tan, Shannon Algar, et al.
Related Content
Bile canaliculi formation by aligning rat primary hepatocytes in a microfluidic device
Biomicrofluidics (June 2011)
A method to generate perfusable physiologic-like vascular channels within a liver-on-chip model
Biomicrofluidics (December 2023)
HCVMultiscaleDyn: A simulator for the multiscale model of hepatitis C virus dynamics
AIP Conf. Proc. (July 2018)
Advances in parameter estimation for mathematical models of hepatitis C viral kinetics
AIP Conf. Proc. (September 2023)
Potency of single garlic oil from Indonesian tropical plant in high fat diet-induced hyperlipidemia mice
AIP Conf. Proc. (September 2018)