Characterizing the symmetric equilibrium of multi-strain host-pathogen systems in the presence of cross immunity.

@article{AbuRaddad2005CharacterizingTS,
  title={Characterizing the symmetric equilibrium of multi-strain host-pathogen systems in the presence of cross immunity.},
  author={Laith Jamal Abu-Raddad and Neil M. Ferguson},
  journal={Journal of mathematical biology},
  year={2005},
  volume={50 5},
  pages={531-58}
}
We investigate the population dynamics of host-pathogen systems in which the pathogen has a potentially arbitrary number of antigenically distinct strains interacting via cross-immunity. The interior equilibrium configuration of the symmetric multiple strain SIR model with cross-immunity is characterized. We develop an efficient iterative method for numerically solving the equilibrium equation together with a number of informative analytical approximations to the full solution. Equilibrium… CONTINUE READING
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