Quasi-periodic dynamics in a model of “predator-prey” communities coupled by migration

The article is devoted to the dynamics of two coupled non-identical predator–prey communities with growth in prey population and functional response of predators of the Hollings type II. The authors investigated the formation mechanisms of complex spatial-temporal dynamic structures. These structures are characterized by both fast and slow changes in the size of populations, and by various ratios of synchronous and non-synchronous dynamics in certain periods. We described the transition scenarios, from different types of regular burst dynamics to quasi-periodic dynamics, when differences in the communities under consideration vary.