Frequency dependence and viral diversity imply chaos in an HIV model

Shingo Iwami; Shinji Nakaoka; Yasuhiro Takeuchi

doi:10.1016/j.physd.2006.09.011

Frequency dependence and viral diversity imply chaos in an HIV model

Shingo Iwami, Shinji Nakaoka, Yasuhiro Takeuchi

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

11 Citations (Scopus)

Abstract

In this paper, we consider the effect of viral diversity on the human immune system with frequency dependent rate of proliferation of CTLs (cytotoxic T-lymphocytes) and rate of elimination of infected cells by CTLs. We show that the interior equilibrium of our model can become unstable without viral diversity and we observe stable periodic orbits. Furthermore, our mathematical models suggest that viral diversity produces strange attractors.

Original language	English
Pages (from-to)	222-228
Number of pages	7
Journal	Physica D: Nonlinear Phenomena
Volume	223
Issue number	2
DOIs	https://doi.org/10.1016/j.physd.2006.09.011
Publication status	Published - Nov 15 2006
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.physd.2006.09.011

Cite this

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abstract = "In this paper, we consider the effect of viral diversity on the human immune system with frequency dependent rate of proliferation of CTLs (cytotoxic T-lymphocytes) and rate of elimination of infected cells by CTLs. We show that the interior equilibrium of our model can become unstable without viral diversity and we observe stable periodic orbits. Furthermore, our mathematical models suggest that viral diversity produces strange attractors.",

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AU - Nakaoka, Shinji

AU - Takeuchi, Yasuhiro

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AB - In this paper, we consider the effect of viral diversity on the human immune system with frequency dependent rate of proliferation of CTLs (cytotoxic T-lymphocytes) and rate of elimination of infected cells by CTLs. We show that the interior equilibrium of our model can become unstable without viral diversity and we observe stable periodic orbits. Furthermore, our mathematical models suggest that viral diversity produces strange attractors.

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Frequency dependence and viral diversity imply chaos in an HIV model

Abstract

All Science Journal Classification (ASJC) codes

UN SDGs

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