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

الملخص EN

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:(i)In the Abstract and the Introduction sections, “infection-free” should be corrected to “uninfected.”(ii)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/pux0, x0=T/2rr−d+r−d2+4sr/T (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/pux0 (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=iωω>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=iωω>0 for some τ>0, substituting it into (9) and separating the real and imaginary parts.”(4)The sentence “Then, we get the corresponding τkn>0 such that (23) has pure imaginary λ=iωk,” should be corrected to “Then, we get the corresponding τkn>0 such that (19) has pure imaginary λ=iωk.”(5)The sentence “From (19), we obtain b2ω2+b32=ω3−a2ω2+a1ω2−a32” should be corrected to “From (22), we obtain b22ω2+b32=ω3−a2ω2+a1ω2−a32.”(6)Equation (L) should be corrected as follows:(L)dResλdτ−1λ=iωk=3vk3+2c1vk2+c2vkωk2b22ωk2+b32=vkh′vkωk2b22ωk2+b32.(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.