Numerical Investigation of Adaptive Immune Response to Viral Infection

  • Mikhail KolevEmail author
  • Ana Markovska
  • Boiana Garkova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9045)


In this paper we present a new mathematical model describing acquired immune response to viral infection. The model is formulated as a system of six ordinary differential equations (ODE). Conditions for existence, uniqueness and non-negativity of the solutions are studied. Numerical simulations for the case of dominating cellular immunity and various initial values of concentrations of virus particles are presented and discussed.


Numerical simulations Differential equations Nonlinear dynamics Kinetic model Virus Immune system 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceUniversity of Warmia and MazuryOlsztynPoland
  2. 2.Faculty of Mathematics and Natural SciencesSouth-West University “Neofit Rilski”BlagoevgradBulgaria

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