Figure 1.

Scheme of possible optimal active ratio u^R for the prey (u^R(t) ∈ [0,1] for each t ∈ [0, T]). Based on the proposed dynamics and the optimization problem, we have shown irreversibility and (largely) monotonicity of the strategy profile. Note that the optimal strategies do not need to be continuous corresponding to the singular events in the outcome of the optimization problem. (Adapted from [14].) (Online version in colour.)