Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay
Xiaojie Lin; Zengji Du; Yansen Lv
Applications of Mathematics (2013)
- Volume: 58, Issue: 6, page 673-687
- ISSN: 0862-7940
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topLin, Xiaojie, Du, Zengji, and Lv, Yansen. "Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay." Applications of Mathematics 58.6 (2013): 673-687. <http://eudml.org/doc/260746>.
@article{Lin2013,
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).},
author = {Lin, Xiaojie, Du, Zengji, Lv, Yansen},
journal = {Applications of Mathematics},
keywords = {multispecies predator-prey model; competition dynamic system; positive periodic solution; Beddington-DeAngelis functional; time delays response; multispecies predator-prey model; competition dynamic system; positive periodic solution; Beddington-DeAngelis functional; time delays response},
language = {eng},
number = {6},
pages = {673-687},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay},
url = {http://eudml.org/doc/260746},
volume = {58},
year = {2013},
}
TY - JOUR
AU - Lin, Xiaojie
AU - Du, Zengji
AU - Lv, Yansen
TI - Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 6
SP - 673
EP - 687
AB - 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).
LA - eng
KW - multispecies predator-prey model; competition dynamic system; positive periodic solution; Beddington-DeAngelis functional; time delays response; multispecies predator-prey model; competition dynamic system; positive periodic solution; Beddington-DeAngelis functional; time delays response
UR - http://eudml.org/doc/260746
ER -
References
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