Limiting Distribution of Individuals Formulation

Available identifiers

MaRDI QIDQ6674438

equation representing the limiting distribution of individuals

Defining Formula: $\begin{array}{ccc}{\partial }_t{\rho }_{m,l}(x,t)& =& \frac{1}{2}{\sigma }^2\Delta {\rho }_{m,l}(x,t)-\mathrm{\nabla }\cdot ({\rho }_{m,l}(x,t)ℱ(x,y_m,z_l,\rho ))\\ & +& \sum _{l^{\prime }\ne l}(-{\Lambda }_m^{\to l^{\prime }}(x,t){\rho }_{m,l}(x,t)+{\Lambda }_m^{\to l}(x,t){\rho }_{m,l^{\prime }}(x,t))\end{array}$

${\Lambda }_m^{\to l}$ symbol represents Rate of Switching Influencers

$ℱ$ symbol represents Attraction Force at Opinion

${\partial }_t{\rho }_{m,l}(x,t)$ symbol represents Limiting Distribution of Individuals

$\sigma$ symbol represents Noise Strength

$t$ symbol represents Time

$x$ symbol represents Opinion

$y_m$ symbol represents Opinion

$z_l$ symbol represents Opinion

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