On evolutionary stability in predator–prey models with fast behavioural dynamics

Question: Does optimality in predator–prey models with plastic traits evolving on a fast time-scale imply evolutionary stability? Mathematical methods: Predator–prey models of population growth described by differential equations with controls and feedback regulation. G-function. Key assumptions: Plastic responses of organisms to changes in environment are adaptive in the sense that they maximize individual fitness. Population dynamics are deterministic and described by the Lotka-Volterra type dynamics. Predictions: Adaptive plastic responses do not necessarily lead to evolutionary stability. Mutants with a different strategy can invade a monomorphic resident population, but they cannot replace residents