POSITIVE PERIODIC SOLUTION FOR A TWO-SPECIES RATIO-DEPENDENT LESLIE-TYPE PREDATOR-PREY SYSTEM IN A TWO-PATCH ENVIRONMENT
A delayed two-species ratio-dependent Leslie-type predator-prey system with the prey dispersal in a two-patch environment is investigated. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of positive periodic solutions. As corollaries, some applications are listed.
periodic solution, predator-prey, ratio-dependent, dispersion, coincidence degree.