Hopf bifurcation in a delayed model for tumor-immune system competition with negative immune response
The dynamics of the model for tumor-immune system competition with negative immune response and with one delay investigated. We show that the asymptotic behavior depends crucially on the time delay parameter. We are particularly interested in the study of the Hopf bifurcation problem to predict the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/95296 |
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| Summary: | The dynamics of the model for tumor-immune system competition with
negative immune response and with one delay investigated. We show that the asymptotic behavior depends
crucially on the time delay parameter. We are particularly
interested in the study of the Hopf bifurcation problem to predict
the occurrence of a limit cycle bifurcating from the nontrivial
steady state, by using the delay as a parameter of bifurcation.
The obtained results provide the oscillations given by the
numerical study in M. Gałach (2003), which are observed in
reality by Kirschner and Panetta (1998). |
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| ISSN: | 1026-0226 1607-887X |