Before revision:   We further show that it is the agents moving once between any two states  following the stochastic strategy  who are less likely to be infected than those not having (or not opting for) such a movement choice, when the risk of getting infected during the travel is not considered  .
After revision:  We further show that it is the agents moving once between any two states following the stochastic strategy who are less likely to be infected than those not having (or not opting for) such a movement choice, when the risk of getting infected during the travel is not considered . This shows the incentive for the moving agents to follow the stochastic strategy. For the non-moving agents, the strategy is still helpful, as a complete random movement of the moving group results in a significantly higher total infection .