Periodic solutions to a delayed predator-prey model with Hassell-Varley type functional response. (English) Zbl 1208.34130
Summary: A delayed predator-prey model with Hassell-Varley type functional responses is studied. Some sufficient conditions are obtained for the existence of positive periodic solutions by applying the coincidence degree theorem. It is interesting that the result is based on the delay, which is different from the previous work (the results are delay-independent). Furthermore, the simulation shows that some conditions are sharp.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
| 92D25 | Population dynamics (general) |
Keywords:
predator-prey model; Hassell-Varley functional response; periodic solution; coincidence degree theoremReferences:
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