Global Periodic Solution of a Predator-Prey Diffusive System with Ratio-Dependence and Feedback Control

摘要

By using Gaines and Mawhin's continuation theorem of coincidence degree theory, we studied the global existence of positive periodic solutions of a predator-prey diffusive model with ratio-dependence and feedback control. We obtain a set of verifiable sufficient conditions to guarantee the existence of positive periodic solutions of the system, which improve some known results.