\\
C=\alpha_1 \cdot YD+\alpha_2 \cdot H \\ 
YD = WB - T \\
GDP=Y =WB = C + G \\
dH/dt= G - T \\
T=\theta \cdot Y \\
\\
\text{The system converges to:}
\\
Y^{*}= G/\theta\\
YD^{*}=C^{*}=G \cdot (1-\theta)/\theta \\
H^{*} =\alpha_3 \cdot G \cdot (1-\theta)/\theta ,\; \text{where} \; \alpha_3 = (1-\alpha_1)/\alpha_2 \\
\\
C = \text{Consumption}, \\
\alpha_1 = \text{Propensity to consume out of disposable income} \\
\alpha_2 = \text{Propensity to consume out of accumulated wealth} \\
YD = \text{Disposable Income}, \\ 
H = \text{Wealth In Cash}, \\
WB = \text{Wage Bill}, \\
T = \text{Taxes}, \\ 
G = \text{Government Spending}, \\
\theta =\text{Tax Rate} \\