Modelling effects of public health educational campaigns on drinking dynamics

Figures & data

Figure 1. Transfer diagram of the model (1(1) $\begin{array}{rl}\dot{S}& =q\mu \mathrm{\Lambda }-\beta SA-(p+\mu )S,\\ \dot{E}& =(1-q)\mu \mathrm{\Lambda }+pS-\beta \sigma EA-(\mu +\epsilon )E,\\ \dot{A}& =\beta SA+\beta \sigma EA+\delta R-(\mu +a_1+\gamma )A,\\ \dot{R}& =\gamma A-(\delta +\xi +\mu +a_2)R,\\ \dot{Q}& =\xi R+\epsilon E-\mu Q.\end{array}$(1) ).

Figure 2. When $R_0<1$, the alcohol-free equilibrium $P_0$ is globally asymptotically stable.

Figure 3. When $R_0=1$, the alcohol-free equilibrium $P_0$ is globally asymptotically stable.

Figure 4. When $R_0>1$, the alcohol present equilibrium $P^{\ast }$ is globally asymptotically stable.

Figure 5. The relationship among $R_0$, p, δ.