Abstract
In this paper, we are concerned with a delayed multispecies competition predator-prey dynamic system with Beddington-DeAngelis functional response. Some sufficient conditions which guarantee the existence of a positive periodic solution for the system are obtained by applying the Mawhin coincidence theory. The interesting thing is that the result is related to the delays, which is different from the corresponding ones known from literature (the results are delay-independent).
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The research has been supported by the Natural Science Foundation of China (Grant No. 11071205 and 11101349), and partially supported by the Natural Science Foundation of Jiangsu Province (Grant No. BK2011042) and the NSF of Jiangsu Education Depart- ment (11KJB110013), the Priority Academic Program Development of Jiangsu Higher Education Institutions, Qing Lan Project and Innovation Project of Jiangsu Province postgraduate training project.
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Lin, X., Du, Z. & Lv, Y. Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay. Appl Math 58, 673–687 (2013). https://doi.org/10.1007/s10492-013-0034-2
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DOI: https://doi.org/10.1007/s10492-013-0034-2
Keywords
- multispecies predator-prey model
- competition dynamic system
- positive periodic solution
- Beddington-DeAngelis functional
- time delays response