Corrigendum to “Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation”

In the article titled “Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation” [1], there were several errors throughout the article which are as follows:

1. In the Abstract and the Introduction sections, “infection-free” should be corrected to “uninfected.”

2. In the Local and Global Stability of the Equilibria section, there were the following errors:

   1. “We can denote the basic reproduction number of the HIV virus for the model (3) as R₀=(kδ/pu)x₀, $x_0=\left(T/2r\right)\left(r-d+\sqrt{{\left(r-d\right)}^2+4sr/T}\right)$ (see, for example, [3])” should be corrected to “We can denote the basic reproduction number of the HIV virus for the model (3) as R₀=(kδ/pu)x₀ (see, for example, [3]).”
   2. The sentence “Proof. We consider linear system of the model (3) in E₀ near;” should be corrected to “Proof. We consider linear system of the model (3) at E₀.”
   3. The sentence “When R₀ < 1, pu − kδx₀ ≠ 0. Therefore, λ=0 is not root of (9). If (8) has pure imaginary root λ=iω(ω > 0) for some τ > 0, substituting it into (8) and separating the real and imaginary parts,” should be corrected to “When R₀ < 1, pu − kδx₀ ≠ 0. Therefore, λ=0 is not root of (9). If (9) has pure imaginary root λ=iω(ω > 0) for some τ > 0, substituting it into (9) and separating the real and imaginary parts.”
   4. The sentence “Then, we get the corresponding τ_k⁽ⁿ⁾ > 0 such that (23) has pure imaginary λ=iω_k,” should be corrected to “Then, we get the corresponding τ_k⁽ⁿ⁾ > 0 such that (19) has pure imaginary λ=iω_k.”
   5. The sentence “From (19), we obtain b₂ω²+b₃²=(ω³ − a₂ω)²+(a₁ω² − a₃)²” should be corrected to “From (22), we obtain b₂²ω²+b₃²=(ω³ − a₂ω)²+(a₁ω² − a₃)².”
   6. Equation (L) should be corrected as follows:

$$\begin{array}{c}{\left[\frac{d\left(\mathrm{Re}s\left(\lambda \right)\right)}{d\tau }\right]}^{-1}{}_{\lambda =i{\omega }_k}=\frac{3v_k^3+2c_1{v}_k^2+c_2{v}_k}{{\omega }_k^2\left[b_2^2{\omega }_k^2+b_3^2\right]}\\ =\frac{v_k{h}^{\prime }\left(v_k\right)}{{\omega }_k^2\left[b_2^2{\omega }_k^2+b_3^2\right]}.\end{array}$$ (L)

• (iii) In the Simulations and Conclusions section, the sentence “By direct calculations, we get that (19) has a positive root;” should be corrected to “By direct calculations, we get that (24) has a positive root.”

• (iv) The formats of references 2, 14, 25, 26, 27, and 29 were updated.

This has been corrected in place.