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GLOBAL HOPF BRANCHES IN A DELAYED MODEL FOR IMMUNE RESPONSE TO HTLV-1 INFECTIONS: COEXISTENCE OF MULTIPLE LIMIT CYCLES.
- Source :
- Canadian Applied Mathematics Quarterly; Spring2012, Vol. 20 Issue 1, p39-50, 12p, 1 Diagram, 7 Graphs
- Publication Year :
- 2012
-
Abstract
- For an HTLV-I infection model, Li and Shu has shown in [6] that delayed CTL response can lead to com-plex bifurcations, and in particular, coexistence of multiple sta-ble periodic solutions. In this paper, we extend results of Li and Shu in [6] and investigate the case when there exist three sequences of Hopf bifurcation points. Through numerical sim-ulations, we show that two of the sequences lead to bounded global Hopf bifurcation branches as observed in [6], and a third sequence gives rise to unbounded Hopf branches that can pro-duce secondary period-doubling bifurcations. Our results show that multiple stable periodic solutions can co-exist in certain parameter regions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10731849
- Volume :
- 20
- Issue :
- 1
- Database :
- Supplemental Index
- Journal :
- Canadian Applied Mathematics Quarterly
- Publication Type :
- Periodical
- Accession number :
- 83542330