Frequency dependence and viral diversity imply chaos in an HIV model

Shingo Iwami, Shinji Nakaoka, Yasuhiro Takeuchi

Research output: Contribution to journalArticle

8 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 languageEnglish
Pages (from-to)222-228
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume223
Issue number2
DOIs
Publication statusPublished - Nov 15 2006
Externally publishedYes

Fingerprint

human immunodeficiency virus
T-cells
lymphocytes
Chaos theory
chaos
T Lymphocytes
Chaos
Imply
immune systems
strange attractors
Immune system
elimination
mathematical models
Orbits
Strange attractor
Immune System
Mathematical models
Proliferation
orbits
Periodic Orbits

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Cite this

Frequency dependence and viral diversity imply chaos in an HIV model. / Iwami, Shingo; Nakaoka, Shinji; Takeuchi, Yasuhiro.

In: Physica D: Nonlinear Phenomena, Vol. 223, No. 2, 15.11.2006, p. 222-228.

Research output: Contribution to journalArticle

Iwami, Shingo ; Nakaoka, Shinji ; Takeuchi, Yasuhiro. / Frequency dependence and viral diversity imply chaos in an HIV model. In: Physica D: Nonlinear Phenomena. 2006 ; Vol. 223, No. 2. pp. 222-228.
@article{b5ab060f82d447c481074f61e8b3e9ea,
title = "Frequency dependence and viral diversity imply chaos in an HIV model",
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.",
author = "Shingo Iwami and Shinji Nakaoka and Yasuhiro Takeuchi",
year = "2006",
month = "11",
day = "15",
doi = "10.1016/j.physd.2006.09.011",
language = "English",
volume = "223",
pages = "222--228",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Frequency dependence and viral diversity imply chaos in an HIV model

AU - Iwami, Shingo

AU - Nakaoka, Shinji

AU - Takeuchi, Yasuhiro

PY - 2006/11/15

Y1 - 2006/11/15

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=33750447311&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750447311&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2006.09.011

DO - 10.1016/j.physd.2006.09.011

M3 - Article

AN - SCOPUS:33750447311

VL - 223

SP - 222

EP - 228

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 2

ER -