Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response

Figure 6

(a) Simulated results of the best-response systems (18) and (19) for 𝐴=0.5, 𝛽=0.3, 𝑞=0.9, 𝑑=0.1, 𝛼=0, 𝜙=0.1, and 𝑟=0.1. The system is converging to the disease-free equilibrium. (b) Simulated results of system (1) for 𝑘=2 with all the other parametric values the same as (a). (c) Simulated results of system (1) for 𝑘=200000 with all the other parametric values as (a). All these systems have the same disease-free equilibrium. In (c), the system is converging to an endemic equilibrium that is very close to this disease-free equilibrium and so the number of infected is almost 0.

(a)

(b)

(c)