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In this paper, we consider a delayed n + m-species competition predator-prey system on time scales with Holling III functional response and multiple exploited (or harvesting) terms. By using the continuation theorem based on Gaines and Mawhin’s coincidence degree theory, easily verifiable criteria are established for global existence of multiple positive periodic solutions for the above system.

Global Dynamics of a Delayed n + m-Species Competition Predator-Prey System on Time Scales