Nonlinear Dynamics

, Volume 68, Issue 3, pp 401–411 | Cite as

A model for coupling within-host and between-host dynamics in an infectious disease

  • Zhilan Feng
  • Jorge Velasco-HernandezEmail author
  • Brenda Tapia-Santos
  • Maria Conceição A. Leite
Original Paper


Studies on the modeling of the coupled dynamics of infectious diseases at both the population level (the epidemic process or between-host dynamics) and at the cell level (the early viremia or within-host dynamics) are scarce. Most of them deal with these two processes separately by postulating assumptions that render them decoupled.

In this work, we present a new model that allows the two dynamic processes to explicitly depend on each other. It is shown that new properties can emerge from the coupled system and more complex dynamics may be expected.


Disease persistence Early viremia Multistability Multiparameter bifurcation 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Zhilan Feng
    • 1
  • Jorge Velasco-Hernandez
    • 2
    Email author
  • Brenda Tapia-Santos
    • 3
  • Maria Conceição A. Leite
    • 4
  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA
  2. 2.Programa de Matemáticas Aplicadas y ComputaciónInstituto Mexicano del PetróleoMéxico CityMéxico
  3. 3.Facultad de MatemáticasUniversidad VeracruzanaMéxico CityMéxico
  4. 4.Department of MathematicsUniversity of OklahomaNormanUSA

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