Mathematical analysis of a HIV model with frequency dependence and viral diversity

Shingo Iwami; Shinji Nakaoka; Yasuhiro Takeuchi

doi:10.3934/mbe.2008.5.457

Mathematical analysis of a HIV model with frequency dependence and viral diversity

Shingo Iwami, Shinji Nakaoka, Yasuhiro Takeuchi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We consider the effect of viral diversity on the human immune system with the frequency dependent proliferation rate of CTLs and the elimination rate of infected cells by CTLs. The model has very complex mathematical structures such as limit cycle, quasi-periodic attractors, chaotic attractors, and so on. To understand the complexity we investigate the global behavior of the model and demonstrate the existence and stability conditions of the equilibria. Further we give some theoretical considerations obtained by our mathematical model to HIV infection.

Original language	English
Pages (from-to)	457-476
Number of pages	20
Journal	Mathematical Biosciences and Engineering
Volume	5
Issue number	3
DOIs	https://doi.org/10.3934/mbe.2008.5.457
Publication status	Published - Jul 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Agricultural and Biological Sciences(all)
Computational Mathematics
Applied Mathematics

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abstract = "We consider the effect of viral diversity on the human immune system with the frequency dependent proliferation rate of CTLs and the elimination rate of infected cells by CTLs. The model has very complex mathematical structures such as limit cycle, quasi-periodic attractors, chaotic attractors, and so on. To understand the complexity we investigate the global behavior of the model and demonstrate the existence and stability conditions of the equilibria. Further we give some theoretical considerations obtained by our mathematical model to HIV infection.",

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