Multiple positive periodic solutions for a food-limited two-species ratio-dependent predator-prey patch system with delay and harvesting. (English) Zbl 1260.34150
Summary: By using Mawhin’s coincidence degree theory, this paper establishes sufficient conditions for the existence of four positive periodic solutions of a food-limited two-species ratio-dependent predator-prey patch system with delay and harvesting. Some novel techniques are employed to obtain the appropriate a priori estimates. An example is given to illustrate our results.
MSC:
34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
92D25 | Population dynamics (general) |
34K13 | Periodic solutions to functional-differential equations |
47N20 | Applications of operator theory to differential and integral equations |