Skip to content
Research Article Open access CC BY 4.0

Stability and Bifurcation Analysis for a Hepatitis C Virus Transmissions Model with Time Delay

Rui Yang, Ruiqing Shi

Journal of Advances in Mathematics and Computer Science · pp. 185–198 · Published 21 May 2015

10.9734/BJMCS/2015/17744

Abstract

In this paper, we propose a Hepatitis C virus transmissions model with time delay. Firstly, we get the condition for the existence and local stability of equilibria of the system. Secondly, by choosing the time delay τ as a bifurcation parameter, we show that Hopf bifurcation will occur as the time delay τ passes through some critical values. Thirdly, by use of normal form theory and central manifold argument, we establish the direction and stability of Hopf bifurcation. At last, some numerical simulations is provided to verify the theoretical results.

Hepatitis C virus time delay Hopf bifurcation normal form theory center manifold theory

Cited by 0

No indexed citations yet.

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

0

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.