Fig. 1.

Schematic representation of the proposed model. We consider five compartments where agents transition from $S,$$I,$ and $R$ states through epidemiological dynamics. At the same time, agents change their own strategy ($Q$ or $N$) through an evolutionary game dynamics. The parameter ${\beta }_i$ is the infection rate that, depending on the strategy of an agent, is defined as ${\beta }_Q$ or ${\beta }_N$ (i.e. quarantine versus normal life stile). Also note that infected individuals of one given strategy can interact with susceptible individuals of the other strategy, e.g. $S_Q-I_N,$ by the cross-infection rate ${\beta }_a,$ further explained in the text. The parameter $\gamma$ represents the recovery rate and is independent of the specific strategy. $\Phi$ represents the strategy change flux for each epidemic state and it is governed by the evolutionary game dynamics.