Corrigendum: How can the collaborative participation of regulators, whistleblowers, and parties effectively promote rumor management in public health emergencies?

A corrigendum on
How can the collaborative participation of regulators, whistleblowers, and parties effectively promote rumor management in public health emergencies?

by Wang, Y., Qi, L., and Cai, S. (2024). Front. Public Health. 11:1290841. doi: 10.3389/fpubh.2023.1290841

In the published article, there were some errors within Equations (1)–(6) in Section 3.1, “Analysis of replication dynamics.” Specifically:

[(1) In Equations (1) and (2), the term “Ū₁” should be corrected to “U₁”

(2) Equations (3) and (5) redundantly replicate Equation (1), which is not accurate.

(3) Additionally, in Equation (4), “Ū₂” should be modified to “U₂,” and, in Equation (6), “Ū₃” should be adjusted to “U₃”].

A correction has been made to Model analysis, 3.1 Analysis of replication dynamic. The Equations (1)–(6) previously stated:

“[

$\begin{array}{ll}\{\begin{array}{l}{U}_{11}=y\left(\left(-C_o-gHk\right)\left(1-z\right)+\left(-C_o-gHk\right)z\right)+\hfill \\ \left(1-y\right)\left(\left(-C_o-gHk+mR\right)\left(1-z\right)+\left(-C_o-gHk-An+\left(m+n\right)R\right)z\right)\hfill \\ U_{12}=y\left(-gkT\left(1-z\right)-gkTz\right)+\left(1-y\right)\left(-gkT\left(1-z\right)+\left(nR-gkT\right)z\right)\hfill \\ {\overline{U}}_1=x{U}_{11}+\left(1-x\right)U_{11}\hfill \end{array}& (1)\end{array}$

$\begin{array}{ll}F(x)=\frac{dx}{dt}=x(U_{11}-{Ū}_1)=(-1+x)x(C_o+gk(H-T)+(-1+y)(mR-Anz))& (2)\end{array}$

$\begin{array}{ll}\{\begin{array}{l}{U}_{11}=y\left(\left(-C_o-gHk\right)\left(1-z\right)+\left(-C_o-gHk\right)z\right)+\hfill \\ \left(1-y\right)\left(\left(-C_o-gHk+mR\right)\left(1-z\right)+\left(-C_o-gHk-An+\left(m+n\right)R\right)z\right)\hfill \\ U_{12}=y\left(-gkT\left(1-z\right)-gkTz\right)+\left(1-y\right)\left(-gkT\left(1-z\right)+\left(nR-gkT\right)z\right)\hfill \\ {\overline{U}}_1=x{U}_{11}+\left(1-x\right)U_{11}\hfill \end{array}& (3)\end{array}$

$\begin{array}{l}F\left(y\right)=\frac{dy}{dt}=y\left(U_{21}-{\overline{U}}_2\right)\\ =-\left(-1+y\right)y\left(-Dk+Bgk+mRx+nRz\right)& (4)\end{array}$

$\begin{array}{ll}\{\begin{array}{l}{U}_{11}=y\left(\left(-C_o-gHk\right)\left(1-z\right)+\left(-C_o-gHk\right)z\right)+\hfill \\ \left(1-y\right)(\left(-C_o-gHk+mR\right)\left(1-z\right)\hfill \\ +\left(-C_o-gHk-An+\left(m+n\right)R\right)z)\hfill \\ U_{12}=y\left(-gkT\left(1-z\right)-gkTz\right)+\left(1-y\right)(-gkT\left(1-z\right)\hfill \\ +\left(nR-gkT\right)z)\hfill \\ {\overline{U}}_1=x{U}_{11}+\left(1-x\right)U_{11}\hfill \end{array}& (5)\end{array}$

$\begin{array}{l}F\left(z\right)=\frac{dz}{dt}=z\left(U_{31}-{\overline{U}}_3\right)\\ =\left(-1+z\right)z\left(E-gkU+Agnx\left(-1+y\right)\right)& (6)\end{array}$

]”

The corrected Equations (1)–(6) appear below:

“[

$\begin{array}{ll}\{\begin{array}{l}{U}_{11}=y\left(\left(-C_o-gHk\right)\left(1-z\right)+\left(-C_o-gHk\right)z\right)+\hfill \\ \left(1-y\right)(\left(-C_o-gHk+mR\right)\left(1-z\right)\hfill \\ +\left(-C_o-gHk-An+\left(m+n\right)R\right)z)\hfill \\ U_{12}=y\left(-gkT\left(1-z\right)-gkTz\right)+\left(1-y\right)(-gkT\left(1-z\right)\hfill \\ +\left(nR-gkT\right)z)\hfill \\ U_1=x{U}_{11}+\left(1-x\right)U_{12}\hfill \end{array}& (1)\end{array}$

$\begin{array}{l}F\left(x\right)=\frac{dx}{dt}=x\left(U_{11}-U_1\right)=\left(-1+x\right)x(C_o+gk\left(H-T\right)\\ +\left(-1+y\right)\left(mR-Anz\right))& (2)\end{array}$

$\begin{array}{ll}\{\begin{array}{l}{U}_{21}=\left(1-x\right)\left(-Dk\left(1-z\right)-Dkz\right)+x\left(-Dk\left(1-z\right)-Dkz\right)\hfill \\ U_{22}=x\left(\left(-Bgk-mR\right)\left(1-z\right)+\left(-Bgk+\left(-m-n\right)R\right)z\right)+\hfill \\ \left(1-x\right)\left(-Bgk\left(1-z\right)+\left(-Bgk-nR\right)z\right)\hfill \\ U_2=y{U}_{21}+\left(1-y\right)U_{22}\hfill \end{array}& (3)\end{array}$

$\begin{array}{l}F\left(y\right)=\frac{dy}{dt}=y\left(U_{21}-U_2\right)\\ =-\left(-1+y\right)y\left(-Dk+Bgk+mRx+nRz\right)& (4)\end{array}$

$\begin{array}{ll}\{\begin{array}{l}{U}_{31}=\left(\left(-E+gkU\right)\left(1-x\right)+\left(-E+Agn+gkU\right)x\right)\left(1-y\right)+\hfill \\ \left(\left(-E+gkU\right)\left(1-x\right)+\left(-E+gkU\right)x\right)y\hfill \\ U_{32}=0\hfill \\ U_3=z{U}_{31}+\left(1-z\right)U_{32}\hfill \end{array}& (5)\end{array}$

$\begin{array}{l}F\left(z\right)=\frac{dz}{dt}=z\left(U_{31}-U_3\right)\\ =\left(-1+z\right)z\left(E-gkU+Agnx\left(-1+y\right)\right)& (6)\end{array}$

]”

The authors apologize for this error and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.

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