Critical bifurcations and chaos in a delayed nonlinear model for the immune response

Elder de Souza, Marcelo Lyra and Iram Gleria

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2494-2501

Abstract: In this work, we consider the dynamical behaviour associated with the interaction of the immune system with a target population. We consider a model with delayed responses, which consists in a set of two coupled nonlinear differential equations. We show that the stationary solution becomes unstable above a critical delay time of the immune response. In the delay induced oscillatory regime, the minimum density of the target population is smaller than the corresponding stationary value. We obtain the characteristic exponents of this bifurcation and the critical dynamics. We show that, under certain conditions, increasing the delay time induces a series of bifurcations leading to chaos.

Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077909004147
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:42:y:2009:i:4:p:2494-2501

DOI: 10.1016/j.chaos.2009.03.202

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. ().