Modeling the dynamics of the predatorprey community with the prey age structure and the withdrawal

The paper studies the dynamic modes of the predator-prey community discrete-time model taking into account the prey age structure and the withdrawal . The investigated system is a modification of the Nicholson-Bailey model. The author has considered the cases of withdrawal from the prey younger or older age class, or from the prey population of two- age classes , or from the predator population. It is studied conditions of stable coexistence of interacting species and scenarios of the population size oscillatory modes occurrence.