Multiple periodic solutions of a delayed predator–prey system on time scales with multiple exploited (or harvesting) terms

Abstract

In this paper, we consider a delayed predator–prey system on time scales with nonmonotonic functional response and multiple exploited (or harvesting) terms. Using the continuation theorem based on Gaines and Mawhin’s coincidence degree theory, easily verifiable criteria are established for global existence of multiple periodic solutions to the above system on time scales. Moreover, our results generalize and improve the main results of Hu and Zhang (Comput Math Appl 56:3015–3022, 2008).