ArticleJournal of mathematical biology2014
Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model.
Article in Journal of mathematical biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed, 50 citations in OpenAlex.
- Dynamical modeling and data analysis of HIV infection with infection-age, CTLs immune response and delayed antibody immune response.Journal of mathematical biology · 2025Article
- Codimension-one bifurcation and stability analysis in an immunosuppressive infection model.SpringerPlus · 2016Article
- Delay induced stability switch, multitype bistability and chaos in an intraguild predation model.Journal of mathematical biology · 2015Article
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Authors and funding
3 authors at 1 institution in 1 country.
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Abstract
Sustained and transient oscillations are frequently observed in clinical data for immune responses in viral infections such as human immunodeficiency virus, hepatitis B virus, and hepatitis C virus. To account for these oscillations, we incorporate the time lag needed for the expansion of immune cells into an immunosuppressive infection model. It is shown that the delayed antiviral immune response can induce sustained periodic oscillations, transient oscillations and even sustained aperiodic oscillations (chaos). Both local and global Hopf bifurcation theorems are applied to show the existence of periodic solutions, which are illustrated by bifurcation diagrams and numerical simulations. Two types of bistability are shown to be possible: (i) a stable equilibrium can coexist with another stable equilibrium, and (ii) a stable equilibrium can coexist with a stable periodic solution.
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