Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 12, Issue 1, Pages 137-145Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2010.06.003
Keywords
Predator-prey model; Hassell-Varley functional response; Periodic solution; Coincidence degree theorem
Categories
Funding
- NSF of Anhui [090416222]
- NSF of Education Bureau of Anhui [KJ2009B103Z, 2009SQRZ083, 2010SQRW056]
- Youth Foundation of AUFE [ACKYQ1065ZC]
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In this paper, 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 to it 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. (C) 2010 Elsevier Ltd. All rights reserved.
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