Frequency dependence and viral diversity imply chaos in an HIV model

Shingo Iwami, Shinji Nakaoka, Yasuhiro Takeuchi

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


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
Issue number2
Publication statusPublished - Nov 15 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

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


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