Global analysis of the initial value problem for a system of O.D.E. modeling the immune system after vaccinations

  • Authors:

  • U. Fory

  • Affiliations:

  • Department of Mathematics, Informatics & Mechanics Warsaw University, Banacha 2, 02-097 Warsaw, Poland

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1999

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Abstract

A model of the human immune system after a series of vaccinations, proposed in [1], is studied, and a global qualitative study of the model in some special cases is proposed. It is shown that all solutions of the model have at most most one maximum at some point t"m, next, for t t"m, t- + ~, monotonically tend to a physiological level, according to the behavior of antibody concentration observed in reality.