On existence of multiple periodic solutions for Lotka-Volterra's predator-prey model with Allee effects

摘要

In this article we like to investigate the existence of at least two periodic solutions for Lotka-Volterra's predator-prey model with Allee effect in predator population and prey population. The proof relies on Leggett-Willam's multiple fixed point theorem. Some easily verifiable sufficient criteria are established.