• Chinese Physics B
  • Vol. 29, Issue 9, (2020)
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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    DOI: 10.1088/1674-1056/ab8c3f Cite this Article
    Dong-Xi Li, Ni Zhang. Dynamical analysis for hybrid virus infection system in switching environment[J]. Chinese Physics B, 2020, 29(9): Copy Citation Text show less
    Schematic diagram of our virus infection model.
    Fig. 1. 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.
    Fig. 2. 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).
    Fig. 3. 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).
    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
    Table 1. Some parameters of the system (2). All parameters are supposed to be nonnegative.
    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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