Author Affiliations
1College of Data Science, Taiyuan University of Technology, Taiyuan 030024, China2College of Mathematics, Taiyuan University of Technology, Taiyuan 03004, Chinashow less
Fig. 1. Schematic diagram of our virus infection model.
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.
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).
Parameters | Interpretation |
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λ | growth rate of susceptible host cells | β | transmission coefficient between x and y | δ | death rate of x | a | death rate of y | b | death rate of z | c | scale factor of immune response |
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Table 1. Some parameters of the system (2). All parameters are supposed to be nonnegative.