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
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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).
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 
@article{10_1007_s10492_013_0034_2,
     author = {Lin, Xiaojie and Du, Zengji and Lv, Yansen},
     title = {Periodic solution to a multispecies predator-prey competition dynamic system with {Beddington-DeAngelis} functional response and time delay},
     journal = {Applications of Mathematics},
     pages = {673--687},
     year = {2013},
     volume = {58},
     number = {6},
     doi = {10.1007/s10492-013-0034-2},
     mrnumber = {3162754},
     zbl = {06312921},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0034-2/}
}
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
SP  - 673
EP  - 687
VL  - 58
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0034-2/
DO  - 10.1007/s10492-013-0034-2
LA  - en
ID  - 10_1007_s10492_013_0034_2
ER  - 
%0 Journal Article
%A Lin, Xiaojie
%A Du, Zengji
%A Lv, Yansen
%T Periodic solution to a multispecies predator-prey competition dynamic system with Beddington-DeAngelis functional response and time delay
%J Applications of Mathematics
%D 2013
%P 673-687
%V 58
%N 6
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0034-2/
%R 10.1007/s10492-013-0034-2
%G en
%F 10_1007_s10492_013_0034_2
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

Cité par Sources :