Mathematical Modelling of Bacterial Meningitis Transmission Dynamics with Control Measures

Figure 8

Simulation results of the optimal control model with η = 0.35-0.65. The solutions for the carriers and ill individuals with and give and , respectively. The case where and gives and , respectively, which indicates the existence of an unstable disease-free equilibrium and a stable endemic equilibrium. In (e) and (f), vaccination and treatment rates are set to and the effectiveness of the treatment control varied. (e) and (f) show that as the effectiveness of the treatment control increases, the number of ill individuals reduces faster as compared to the number of carriers.

(a) Numerical simulation without control measures on

(b) Numerical simulation without control measures on

(c) Optimal simulation effect in varying on

(d) Optimal simulation effect in varying on

(e) Effectiveness of treatment on

(f) Effectiveness of treatment on