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A two-dimensional discrete delay-differential system model of viremia


  • Received: 29 April 2022 Revised: 16 July 2022 Accepted: 24 July 2022 Published: 04 August 2022
  • A deterministic model is proposed to describe the interaction between an immune system and an invading virus whose target cells circulate in the blood. The model is a system of two ordinary first order quadratic delay-differential equations with stipulated initial conditions, whose coefficients are eventually constant, so that the system becomes autonomous. The long-term behavior of the solution is investigated with some success. In particular, we find two simple functions of the parameters of the model, whose signs often, but not always, determine whether the virus persists above a nonzero threshold in the circulation or heads toward extinction.

    Citation: Joseph E. Carroll. A two-dimensional discrete delay-differential system model of viremia[J]. Mathematical Biosciences and Engineering, 2022, 19(11): 11195-11216. doi: 10.3934/mbe.2022522

    Related Papers:

  • A deterministic model is proposed to describe the interaction between an immune system and an invading virus whose target cells circulate in the blood. The model is a system of two ordinary first order quadratic delay-differential equations with stipulated initial conditions, whose coefficients are eventually constant, so that the system becomes autonomous. The long-term behavior of the solution is investigated with some success. In particular, we find two simple functions of the parameters of the model, whose signs often, but not always, determine whether the virus persists above a nonzero threshold in the circulation or heads toward extinction.



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