Frequency dependence and viral diversity imply chaos in an HIV model

DOI10.1016/j.physd.2006.09.011zbMath1126.34032OpenAlexW2021535702MaRDI QIDQ857196

Yasuhiro Takeuchi, Shingo Iwami, Shinji Nakaoka

Publication date: 14 December 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.09.011

zbMATH Keywords

stabilitystrange attractorslimit cycleschaotic behaviorepidemiologyimmune modelviral diversity

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Medical epidemiology (92C60)

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Uses Software

• MATCONT

Cites Work

• Unnamed Item
• Virus evolution within patients increases pathogenicity
• Viral infection model with periodic lytic immune response
• Elements of applied bifurcation theory.
• Criterion of Hopf bifurcations without using eigenvalues
• Some basic properties of immune selection
• Stability analysis of pathogen-immune interaction dynamics
• The Theory of the Chemostat
• MATCONT