Mathematical Modelling of Bacterial Meningitis Transmission Dynamics with Control Measures

Figure 5

(a) and (b) show that giving treatment to carriers and the ill individuals reduces the number of secondary infections in the carrier and the ill population but the disease may not be eradicated if the use of only treatment is stuck to. Furthermore, we increased time so as to see whether the disease could be eradicated when using treatment only. We see in (c) and (d) that there is a possibility of recurrence of the disease using only treatment control strategy as indicated by the curved green line in (c) and the linear flow of the green line in (d). (e) shows that, to minimize bacterial meningitis outbreak in days, the treatment control should be held intensively for days at a constant rate. (f) shows the optimal control plot of treatment with different cost weights.

(a) The optimal effect on with treatment control

(b) The optimal effect on with treatment control

(c) The optimal effect on with an increase in time

(d) The optimal effect on with an increase in time

(e) Treatment control effect

(f) Optimal control plot of treatment with different cost weights