Figure 1

Evolutionary stable strategy (ESS) point \({P}^{*}\) in the unsteady, steady, and eradicated areas according to \({\mathcal{R}}_{0}\). If the basic reproduction number \({\mathcal{R}}_{0}\) is 10, we estimate that \({\theta }_{critic}\) is approximately 80%. We know that under the yellow dotted line is the unsteady state. The unsteady state is the state wherein society is confused because of the disease. On the other hand, over the yellow dotted line, the blue area is a steady state that is the endemic state. Here, society is stable. Finally, when reaching the black dot line, society can eradicate the disease. The dotted line \({\theta }_{crit}\) is a point where we can eradicate infection within our technical interpretation of game theory and cannot be reached in reality at ideal values. The aim of this to enter endemic phases by maintaining stability beyond the evolutionary stable strategy (ESS) \({P}^{*}\). As the basic reproduction number \({\mathcal{R}}_{0}\) increases, the stable area decreases. This is a common-sense result that the higher the infection rate is, the more difficult it is to enter endemic phases.