Geodesic
Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay
Applications of Mathematics, Tome 58 (2013) no. 6, pp. 673-687.

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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).
DOI : 10.1007/s10492-013-0034-2
Classification : 34C25, 92D25
Keywords: multispecies predator-prey model; competition dynamic system; positive periodic solution; Beddington-DeAngelis functional; time delays response 
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     title = {Periodic solution to a multispecies predator-prey competition dynamic system with {Beddington-DeAngelis} functional response and time delay},
     journal = {Applications of Mathematics},
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Lin, Xiaojie; Du, Zengji; Lv, Yansen. Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay. Applications of Mathematics, Tome 58 (2013) no. 6, pp. 673-687. doi : 10.1007/s10492-013-0034-2. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0034-2/

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