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Original Articles

The transmission dynamic and optimal control of acute and chronic hepatitis B

, &
Pages 172-189 | Received 13 Apr 2016, Accepted 19 Oct 2016, Published online: 17 Nov 2016

Figures & data

Figure 1. The flowchart representing the HBV transmission.

Figure 1. The flowchart representing the HBV transmission.

Figure 2. The plot shows the solution curves at the disease-free and endemic equilibrium with respect to set of parameters A1 and A2.

Figure 2. The plot shows the solution curves at the disease-free and endemic equilibrium with respect to set of parameters A1 and A2.

Figure 3. Population of susceptible with and without control.

Figure 3. Population of susceptible with and without control.

Figure 4. Population of hepatitis B acute-infected individuals with and without control.

Figure 4. Population of hepatitis B acute-infected individuals with and without control.

Figure 5. Population of hepatitis B chronically infected individuals with and without control.

Figure 5. Population of hepatitis B chronically infected individuals with and without control.

Figure 6. Population of recovered individuals with and without control.

Figure 6. Population of recovered individuals with and without control.

Figure 7. The plot shows the dynamic of control variable isolation.

Figure 7. The plot shows the dynamic of control variable isolation.

Figure 8. The plot shows the dynamic of control variable treatment.

Figure 8. The plot shows the dynamic of control variable treatment.

Figure 9. The plot shows the dynamic of control variable vaccination.

Figure 9. The plot shows the dynamic of control variable vaccination.