Analysis of a Viral Infection Model with Delayed Nonlytic Immune Response

Mengye Chen, Liang You, Jie Tang, Shasha Su and Ruiming Zhang

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-11

Abstract:

We investigate the dynamical behavior of a virus infection model with delayed nonlytic immune response. By analyzing corresponding characteristic equations, the local stabilities of two boundary equilibria are established. By using suitable Lyapunov functional and LaSalle’s invariance principle, we establish the global stability of the infection-free equilibrium. We find that the infection free equilibrium is globally asymptotically stable when , and the infected equilibrium without immunity is local asymptotically stable when . Under the condition we obtain the sufficient conditions to the local stability of the infected equilibrium with immunity . We show that the time delay can change the stability of and lead to the existence of Hopf bifurcations. The stabilities of bifurcating periodic solutions are studied and numerical simulations to our theorems are provided.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2015/235420.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2015/235420.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:235420

DOI: 10.1155/2015/235420

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().