Chinese Physics B, Volume. 29, Issue 9, (2020)

Dynamical analysis for hybrid virus infection system in switching environment

Dong-Xi Li1、† and Ni Zhang2
Author Affiliations
  • 1College of Data Science, Taiyuan University of Technology, Taiyuan 030024, China
  • 2College of Mathematics, Taiyuan University of Technology, Taiyuan 03004, China
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    Figures & Tables(4)
    Schematic diagram of our virus infection model.
    Sample path x(t), y(t), z(t) and its corresponding Markov chain r(t) for the stochastic virus infection model (3), using the parameters c1 = 0.0100 and c2 = 0.0150: (a) λ1 = 0.7130, λ2 = 0.5181, β1 = 0.0123, β2 = 0.0115, δ1 = 0.2861, δ2 = 0.3743, a1 = 1.523, and a2 = 1.636, (b) λ1 = 0.7130, λ2 = 0.5181, β1 = 0.0123, β2 = 0.0115, δ1 = 0.2861, δ2 = 0.0101, a1 = 1.523, a2 = 0.401, with the initial value (x(0),y(0),z(0)) = (1.5,9,5), and the exponential distribution for the switching times of r(t), with r(0) = 1.
    Sample path x(t), y(t), z(t) for the stochastic virus infection model (3) for parameters λ1 = 0.2134, λ2 = 0.3340, β1 = 0.6223, β2 = 0.5159, δ1 = 0.4123, β2 = 0.2061, a1 = 0.101, a2 = 0.201, c1 = 0.1100, and c2 = 0.1150, with the initial value (x(0),y(0),z(0)) = (1.5,9,5).
    • Table 1. Some parameters of the system (2). All parameters are supposed to be nonnegative.

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      Table 1. Some parameters of the system (2). All parameters are supposed to be nonnegative.

      ParametersInterpretation
      λgrowth rate of susceptible host cells
      βtransmission coefficient between x and y
      δdeath rate of x
      adeath rate of y
      bdeath rate of z
      cscale factor of immune response
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    Dong-Xi Li, Ni Zhang. Dynamical analysis for hybrid virus infection system in switching environment[J]. Chinese Physics B, 2020, 29(9):

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    Paper Information

    Received: Mar. 5, 2020

    Accepted: --

    Published Online: Apr. 29, 2021

    The Author Email: Li Dong-Xi (dxli0426@126.com)

    DOI:10.1088/1674-1056/ab8c3f

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