Stability and Hopf bifurcation for an epidemic disease model with delay

Chengjun Sun, Yiping Lin and Maoan Han

Chaos, Solitons & Fractals, 2006, vol. 30, issue 1, 204-216

Abstract: A predator–prey system with disease in the prey is considered. The stability of the positive equilibrium and the existence of Hopf bifurcation with delay τ in the term of degree 2 is investigated, where τ is regarded as a parameter. It is found that there are stability switches, and Hopf bifurcations occur when the delay τ passes through a sequence of critical values. Using the normal form theory and center manifold argument, the explicit formulae which determine the stability, direction and other properties of bifurcating periodic solutions is derived.

Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077905008003
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:30:y:2006:i:1:p:204-216

DOI: 10.1016/j.chaos.2005.08.167

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().