The influence of optimal antipredator behavior of prey on predator–prey dynamics in a two-
patch environment is studied. One patch represents an open habitat while the other is a
refuge for prey. It is assumed that prey maximize their fitness measured by the instantaneous
per capita growth rate. In each patch population dynamics is described by the Lotka–
Volterra time continuous model. The refuge is characterized by its protectiveness which is
inversely related to the predation risk for prey, and the dependence of population dynamics …