Periodic solution of a stage-structured predator-prey model with Crowley-Martin type functional response

In this paper, the existence of positive periodic solution of stage-structured predator-prey model with Crowley-Martin type functional response is investigated. The prey population fall into two categories: mature and immature prey. The predator population is dependent only on mature prey and is influenced by Crowley-Martin type functional response. Based on the Mawhin's coincidence degree theory and nontrivial estimation techniques for a priori bounds of unknown solutions to the operator equation $Fz=\mu Nz$, we prove the existence of positive periodic solution. Finally, the effectiveness of our result is verified by an example and numerical simulation.